Author name code: dziembowski ADS astronomy entries on 2022-09-14 author:"Dziembowski, Wojciech A." ------------------------------------------------------------------------ Title: The complex asteroseismology of SX Phoenicis Authors: Daszyńska-Daszkiewicz, J.; Walczak, P.; Pamyatnykh, A.; Szewczuk, W.; Dziembowski, W. Bibcode: 2020svos.conf...81D Altcode: 2019arXiv191200405D This paper presented a seismic analysis of the prototype SX Phoenicis, and was aimed at fitting the two radial-mode frequencies and the corresponding values of the bolometric flux amplitude (the parameter $f$), whose empirical values were derived from multi-coulor photometric observations. A seismic model that meets those conditions is of low mass (M=1.05 M_⊙), has moderately effective convection in the outer layers and described by the mixing-length parameter $\alpha_{\rm MLT} \approx 0.7$, and a microturbulent velocity in the atmospheres of about $\xi_{\rm t}\approx 8 \kms$. These seismic studies of a star like SX Phe are very important for deriving constraints on outer-layer convection because the object is borderline between very effective and ineffective convection. Title: VizieR Online Data Catalog: Anomalous RRd stars in Magellanic Clouds (Soszynski+, 2016) Authors: Soszynski, I.; Smolec, R.; Dziembowski, W. A.; Udalski, A.; Szymanski, M. K.; Wyrzykowski, L.; Ulaczyk, K.; Poleski, R.; Pietrukowicz, P.; Kozlowski, S.; Skowron, D.; Skowron, J.; Mroz, P.; Pawlak, M. Bibcode: 2018yCat..74631332S Altcode: The sample of anomalous RRd stars has been extracted from the OGLE collection of 45451 RR Lyrae variables in the Magellanic Clouds (Soszyski et al., 2016AcA....66..131S).

(2 data files). Title: VizieR Online Data Catalog: OGLE-III variable stars in Galactic disk area (Pietrukowicz+, 2013) Authors: Pietrukowicz, P.; Dziembowski, W. A.; Mroz, P.; Soszynski, I.; Udalski, A.; Poleski, R.; Szymanski, M. K.; Kubiak, M.; Pietrzynski, G.; Wyrzykowski, L.; Ulaczyk, K.; Kozlowski, S.; Skowron, J. Bibcode: 2017yCat.120630379P Altcode: Observations presented in this paper were collected with the 1.3-m Warsaw telescope at Las Campanas Observatory, Chile, during the third phase of the Optical Gravitational Lensing Experiment (OGLE-III) in years 2001-2009. 21 fields in the direction tangent to the Centaurus Arm of the Galactic disk were observed. A significant majority of frames (815-2698 per field) were collected in the standard I-band filter with an exposure time of 120s or 180s. Additional observations, consisting of only 3-8 measurements, were taken in the V -band filter with an exposure time of 240s.

13 δSct objects (from OGLE-GD-DSCT-0059 to OGLE-GD-DSCT-0071) are added after the spectroscopic follow-up described in Pietrukowicz+ (2015AcA....65...63P ; arXiv:1503.03499)). The spectra were obtained with the 2.5-m Irenee du Pont telescope at Las Campanas Observatory on two nights, April 27/28 and April 28/29, 2014.

(10 data files). Title: UVSat: a concept of an ultraviolet/optical photometric satellite Authors: Pigulski, A.; Baran, A.; Bzowski, M.; Cugier, H.; Czerny, B.; Daszyńska-Daszkiewicz, J.; Dziembowski, W.; Handler, G.; Kołaczkowski, Z.; Królikowska, M.; Krzesiński, J.; Maciejewski, G.; Michalska, G.; Molenda-Żakowicz, J.; Moskalik, P.; Niedzielski, A.; Niemczura, E.; Ostrowski, J.; Pamyatnykh, A.; Ratajczak, M.; Rucinski, S.; Siwak, M.; Smolec, R.; Szutowicz, S.; Tomov, T.; Wyrzykowski, Ł.; Zoła, S.; Sarna, M. Bibcode: 2017sbcs.conf...76P Altcode: 2017arXiv171110366P Time-series photometry from space in the ultraviolet can be presently done with only a few platforms, none of which is able to provide wide-field long-term high-cadence photometry. We present a concept of \sat, a twin space telescope which will be capable to perform this kind of photometry, filling an observational niche. The satellite will host two telescopes, one for observations in the ultraviolet, the other for observations in the optical band. We also briefly show what science can be done with UVSat. Title: Petersen diagram revolution Authors: Smolec, Radoslaw; Dziembowski, Wojciech; Moskalik, Pawel; Netzel, Henryka; Prudil, Zdenek; Skarka, Marek; Soszynski, Igor Bibcode: 2017EPJWC.15206003S Altcode: 2017arXiv170303029S Over the recent years, the Petersen diagram for classical pulsators, Cepheids and RR Lyr stars, populated with a few hundreds of new multiperiodic variables. We review our analyses of the OGLE data, which resulted in a significant extension of the known, and in the discovery of a few new and distinct forms of multiperiodic pulsation. The showcase includes not only radial mode pulsators, but also radial-non-radial pulsators and stars with significant modulation observed on top of the beat pulsation. First theoretical models explaining the new forms of stellar variability are briefly discussed. Title: Blue large-amplitude pulsators as a new class of variable stars Authors: Pietrukowicz, Paweł; Dziembowski, Wojciech A.; Latour, Marilyn; Angeloni, Rodolfo; Poleski, Radosław; di Mille, Francesco; Soszyński, Igor; Udalski, Andrzej; Szymański, Michał K.; Wyrzykowski, Łukasz; Kozłowski, Szymon; Skowron, Jan; Skowron, Dorota; Mróz, Przemek; Pawlak, Michał; Ulaczyk, Krzysztof Bibcode: 2017NatAs...1E.166P Altcode: 2017NatAs...1..166P; 2017arXiv170607802P Regular intrinsic brightness variations observed in many stars are caused by pulsations. These pulsations provide information on the global and structural parameters of the star. The pulsation periods range from seconds to years, depending on the compactness of the star and properties of the matter that forms its outer layers. Here, we report the discovery of more than a dozen previously unknown short-period variable stars: blue large-amplitude pulsators. These objects show very regular brightness variations with periods in the range of 20-40 min and amplitudes of 0.2-0.4 mag in the optical passbands. The phased light curves have a characteristic sawtooth shape, similar to the shape of classical Cepheids and RR Lyrae-type stars pulsating in the fundamental mode. The objects are significantly bluer than main-sequence stars observed in the same fields, which indicates that all of them are hot stars. Follow-up spectroscopy confirms a high surface temperature of about 30,000 K. Temperature and colour changes over the cycle prove the pulsational nature of the variables. However, large-amplitude pulsations at such short periods are not observed in any known type of stars, including hot objects. Long-term photometric observations show that the variable stars are very stable over time. Derived rates of period change are of the order of 10-7 per year and, in most cases, they are positive. According to pulsation theory, such large-amplitude oscillations may occur in evolved low-mass stars that have inflated helium-enriched envelopes. The evolutionary path that could lead to such stellar configurations remains unknown. Title: Anomalous double-mode RR Lyrae stars in the Magellanic Clouds Authors: Soszyński, I.; Smolec, R.; Dziembowski, W. A.; Udalski, A.; Szymański, M. K.; Wyrzykowski, Ł.; Ulaczyk, K.; Poleski, R.; Pietrukowicz, P.; Kozłowski, S.; Skowron, D.; Skowron, J.; Mróz, P.; Pawlak, M. Bibcode: 2016MNRAS.463.1332S Altcode: 2016arXiv160800576S; 2016MNRAS.tmp.1057S We report the discovery of a new subclass of double-mode RR Lyrae stars in the Large and Small Magellanic Clouds. The sample of 22 pulsating stars has been extracted from the latest edition of the Optical Gravitational Lensing Experiment collection of RR Lyrae variables in the Magellanic System. The stars pulsating simultaneously in the fundamental (F) and first-overtone (1O) modes have distinctly different properties than regular double-mode RR Lyrae variables (RRd stars). The P1O/PF period ratios of our anomalous RRd stars are within a range of 0.725-0.738, while `classical' double-mode RR Lyrae variables have period ratios in the range of 0.742-0.748. In contrast to the typical RRd stars, in the majority of the anomalous pulsators, the F-mode amplitudes are higher than the 1O-mode amplitudes. The light curves associated with the F-mode in the anomalous RRd stars show different morphology than the light curves of, both, regular RRd stars and single-mode RRab stars. Most of the anomalous double-mode stars show long-term modulations of the amplitudes (Blazhko-like effect). Translating the period ratios into the abundance parameter, Z, we find for our stars Z ∈ (0.002, 0.005) - an order of magnitude higher values than typical for RR Lyrae stars. The mass range of the RRd stars inferred from the WI versus PF diagram is (0.55-0.75) M. These parameters cannot be accounted for with single star evolution assuming a Reimers-like mass-loss. Much greater mass-loss caused by interaction with other stars is postulated. We blame the peculiar pulsation properties of our stars to the parametric resonance instability of the 1O-mode to excitation of the F- and 2O-modes as with the inferred parameters of the stars 2ω1O ≈ ωF + ω2O. Title: Nonradial oscillations in classical pulsating stars. Predictions and discoveries Authors: Dziembowski, W. A. Bibcode: 2016CoKon.105...23D Altcode: 2015arXiv151203708D After a brief historical introduction and recalling basic concepts of stellar oscillation theory, I focus my review on interpretation of secondary periodicities found in RR Lyrae stars and Cepheids as a manifestation of nonradial mode excitation. Title: Internal Rotation of the Red-giant Star KIC 4448777 by Means of Asteroseismic Inversion Authors: Di Mauro, M. P.; Ventura, R.; Cardini, D.; Stello, D.; Christensen-Dalsgaard, J.; Dziembowski, W. A.; Paternò, L.; Beck, P. G.; Bloemen, S.; Davies, G. R.; De Smedt, K.; Elsworth, Y.; García, R. A.; Hekker, S.; Mosser, B.; Tkachenko, A. Bibcode: 2016ApJ...817...65D Altcode: 2015arXiv151106160D We study the dynamics of the stellar interior of the early red-giant star KIC 4448777 by asteroseismic inversion of 14 splittings of the dipole mixed modes obtained from Kepler observations. In order to overcome the complexity of the oscillation pattern typical of red-giant stars, we present a procedure to extract the rotational splittings from the power spectrum. We find not only that the core rotates from a minimum of 8 to a maximum of 17 times faster than the surface, confirming previous inversion results generated for other red giants (Deheuvels et al.), but we also estimate the variation of the angular velocity within the helium core with a spatial resolution of 0.001R and verify the hypothesis of a sharp discontinuity in the inner stellar rotation. The results show that the entire core rotates rigidly and provide evidence for an angular velocity gradient around the base of the hydrogen-burning shell; however, we do not succeed in characterizing the rotational slope, due to the intrinsic limits of the applied techniques. The angular velocity, from the edge of the core, appears to decrease with increasing distance from the center, reaching an average value in the convective envelope of 68 ± 22 nHz. We conclude that a set of data that includes only dipolar modes is sufficient to infer quite accurately the rotation of a red giant not only in the dense core but also, with a lower level of confidence, in part of the radiative region and in the convective envelope. Title: Discovery of a new group of double-periodic RR Lyrae stars in the OGLE-IV photometry. Authors: Netzel, H.; Smolec, R.; Dziembowski, W. Bibcode: 2015MNRAS.451L..25N Altcode: 2015arXiv150405765N We report the discovery of a new group of double-periodic RR Lyrae stars from the analysis of the Optical Gravitational Lensing Experiment - IV (OGLE-IV) Galactic bulge photometry. In 11 stars identified in the OGLE catalogue as first overtone pulsators (RRc stars), we detect additional longer period variability of low amplitude, in the mmag regime. One additional star of the same type is identified in a published analysis of the Kepler space photometry. The period ratio between the shorter first overtone period and a new, longer period lies in a narrow range around 0.686. Thus, the additional period is longer than the expected period of the undetected radial fundamental mode. The obvious conclusion that addition periodicity corresponds to a gravity or a mixed mode faces difficulties, however. Title: Oscillation modes in the rapidly rotating slowly pulsating B-type star μ Eridani Authors: Daszyńska-Daszkiewicz, J.; Dziembowski, W. A.; Jerzykiewicz, M.; Handler, G. Bibcode: 2015MNRAS.446.1438D Altcode: 2014arXiv1410.6283D We present results of a search for identification of modes responsible for the six most significant frequency peaks detected in the rapidly rotating slowly pulsating B-type (SPB) star μ Eridani. All published and some unpublished photometric data are used in our new analysis. The mode identification is carried out with the method developed by Daszyńska-Daszkiewicz et al. employing the phases and amplitudes from multiband photometric data and relying on the traditional approximation for the treatment of oscillations in rotating stars. Models consistent with the observed mean parameters are considered. For the five frequency peaks, the candidates for the identifications are searched amongst unstable modes. In the case of the third frequency, which is an exact multiple of the orbital frequency, this condition is relaxed. The systematic search is continued up to a harmonic degree ℓ = 6. Determination of the angular numbers, (ℓ, m), is done simultaneously with the rotation rate, Vrot, and the inclination angle, i, constrained by the spectroscopic data on the projected rotational velocity, Vrotsin i, which is assumed constant. All the peaks may be accounted for with g-modes of high radial orders and the degrees ℓ ≤ 6. There are differences in some identifications between the models. For the two lowest-amplitude peaks the identifications are not unique. None the less, the equatorial velocity is constrained to a narrow range of (135, 140) km s-1. Our work presents the first application of the photometric method of mode identification in the framework of the traditional approximation and we believe that it opens a new promising direction in studies of SPB stars. Title: Bohdan Paczyński (1940-2007) Authors: Dziembowski, Wojciech Bibcode: 2014pas..conf...27D Altcode: No abstract at ADS Title: OGLE-BLG-RRLYR-12245: An RR Lyrae Star that Switched from a Double- to Single-Mode Pulsation Authors: Soszyński, I.; Dziembowski, W. A.; Udalski, A.; Szymański, M. K.; Kubiak, M.; Pietrzyński, G.; Wyrzykowski, Ł.; Ulaczyk, K.; Poleski, R.; Kozłowski, S.; Pietrukowicz, P.; Skowron, J.; Mróz, P. Bibcode: 2014AcA....64....1S Altcode: 2014arXiv1403.6476S We report the discovery of an RR Lyr star that experienced a switching of its pulsation mode. OGLE-BLG-RRLYR-12245 was discovered as a double-mode RRd star based on observations conducted in the years 2001-2006 during the third phase of the Optical Gravitational Lensing Experiment (OGLE-III). The OGLE-IV observations carried out since 2010 reveal that this object is now a fundamental-mode RRab star, with no sign of the first-overtone pulsation. The analysis of the OGLE photometry shows that the final stage of the mode switching occurred on a relatively short timescale of a few months in 2005. We study the behavior of the star during this process, showing changes of the pulsational amplitudes and periods. We also discuss possible reasons for the mode switching in RR Lyr stars. Title: Interpretation of the oscillation spectrum of HD 50230 - a failure of richness Authors: Szewczuk, Wojciech; Daszyńska-Daszkiewicz, Jadwiga; Dziembowski, Wojciech Bibcode: 2014IAUS..301..109S Altcode: 2013arXiv1311.2818S Attempts to interpret the observed oscillation spectrum of the SPB star HD 50230 are reported. We argue that a nearly equidistant period spacing found in the oscillation spectrum of the star is most likely accidental. The observed period distribution requires excitation of modes with the degree l > 4. Much more may be learned from the rich oscillation spectrum of the star but most of the work is still ahead of us. Title: The evolution of the internal rotation of solar-type stars Authors: Di Mauro, Maria Pia; Ventura, Rita; Cardini, Daniela; Christensen-Dalsgaard, Jørgen; Dziembowski, Wojciech A.; Paternò, Lucio Bibcode: 2014IAUS..301..345D Altcode: We discuss the potential of asteroseismic inversion to study the internal dynamics of solar-type stars and to reconstruct the evolution of the internal rotation from the main sequence to the red-giant phase. In particular, we consider the use of gravity and mixed modes and the application of different inversion methods. Title: Large Variety of New Pulsating Stars in the OGLE-III Galactic Disk Fields Authors: Pietrukowicz, P.; Dziembowski, W. A.; Mróz, P.; Soszyński, I.; Udalski, A.; Poleski, R.; Szymański, M. K.; Kubiak, M.; Pietrzyński, G.; Wyrzykowski, Ł.; Ulaczyk, K.; Kozłowski, S.; Skowron, J. Bibcode: 2013AcA....63..379P Altcode: 2013arXiv1311.5894P We present the results of a search for pulsating stars in the 7.12 deg2 OGLE-III Galactic disk area in the direction tangent to the Centaurus Arm. We report the identification of 20 Classical Cepheids, 45 RR Lyr type stars, 31 Long-Period Variables, such as Miras and Semi-Regular Variables, one pulsating white dwarf, and 58 very likely δ Sct type stars. Based on asteroseismic models constructed for one quadruple-mode and six triple-mode δ Sct type pulsators, we estimated masses, metallicities, ages, and distance moduli to these objects. The modeled stars have masses in the range 0.9-2.5 MSun and are located at distances between 2.5 kpc and 6.2 kpc. Two triple-mode and one double-mode pulsators seem to be Population II stars of the SX Phe type, probably from the Galactic halo. Our sample also includes candidates for Type II Cepheids and unclassified short-period (P<0.23 d) multi-mode stars which could be either δ Sct or β Cep type stars. One of the detected variables is a very likely δ Sct star with an exceptionally high peak-to-peak I-band amplitude of 0.35 mag at the very short period of 0.0196 d. All reported pulsating variable stars but one object are new discoveries. They are included in the OGLE-III Catalog of Variable Stars.

Finally, we introduce the on-going OGLE-IV Galactic Disk Survey, which covers more than half of the Galactic plane. For the purposes of future works on the spiral structure and star formation history of the Milky Way, we have already compiled a list of known Galactic Classical Cepheids. Title: Period-luminosity relations in evolved red giants explained by solar-like oscillations Authors: Mosser, B.; Dziembowski, W. A.; Belkacem, K.; Goupil, M. J.; Michel, E.; Samadi, R.; Soszyński, I.; Vrard, M.; Elsworth, Y.; Hekker, S.; Mathur, S. Bibcode: 2013A&A...559A.137M Altcode: 2013arXiv1310.0839M Context. Solar-like oscillations in red giants have been investigated with the space-borne missions CoRoT and Kepler, while pulsations in more evolved M giants have been studied with ground-based microlensing surveys. After 3.1 years of observation with Kepler, it is now possible to link these different observations of semi-regular variables.
Aims: We aim to identify period-luminosity sequences in evolved red giants identified as semi-regular variables and to interpret them in terms of solar-like oscillations. Then, we investigate the consequences of the comparison of ground-based and space-borne observations.
Methods: We first measured global oscillation parameters of evolved red giants observed with Kepler with the envelope autocorrelation function method. We then used an extended form of the universal red giant oscillation pattern, extrapolated to very low frequency, to fully identify their oscillations. The comparison with ground-based results was then used to express the period-luminosity relation as a relation between the large frequency separation and the stellar luminosity.
Results: From the link between red giant oscillations observed by Kepler and period-luminosity sequences, we have identified these relations in evolved red giants as radial and non-radial solar-like oscillations. We were able to expand scaling relations at very low frequency (periods as long as 100 days and large frequency separation less than 0.05 μHz). This helped us identify the different sequences of period-luminosity relations, and allowed us to propose a calibration of the K magnitude with the observed large frequency separation.
Conclusions: Interpreting period-luminosity relations in red giants in terms of solar-like oscillations allows us to investigate the time series obtained from ground-based microlensing surveys with a firm physical basis. This can be done with an analytical expression that describes the low-frequency oscillation spectra. The different behavior of oscillations at low frequency, with frequency separations scaling only approximately with the square root of the mean stellar density, can be used to precisely address the physics of the semi-regular variables. This will allow improved distance measurements and opens the way to extragalactic asteroseismology with the observations of M giants in the Magellanic Clouds. Title: Puzzling Frequencies in First Overtone Cepheids Authors: Dziembowski, W. A. Bibcode: 2012AcA....62..323D Altcode: 2012arXiv1212.0993D The OGLE project led to the discovery of earlier unknown forms of multiperiodic pulsation in Cepheids. Often, the observed periods may be explained in terms of simultaneous excitation of two or rarely three radial modes. However, a secondary variability at about 0.6 of the dominant period, detected in a number of the first overtone (1O) pulsators inhabiting the Magellanic Clouds, seems to require a different explanation. After reviewing a possibility of explaining this signal in terms of radial and nonradial modes, I find that only unstable modes that may reproduce the observed period ratio are f-modes of high angular degrees (ℓ=42-50). I discuss in detail the driving effect behind the instability and show that it is not the familiar opacity mechanism. Finally, I emphasize the main difficulty of this explanation, which requires high intrinsic amplitudes implying large broadening of spectral line. Title: Dipolar modes in luminous red giants Authors: Dziembowski, W. A. Bibcode: 2012A&A...539A..83D Altcode: 2012arXiv1201.3762D Context. Lots of information on solar-like oscillations in red giants has been obtained thanks to observations with CoRoT and Kepler space telescopes. Data on dipolar modes appear most interesting.
Aims: We study properties of dipolar oscillations in luminous red giants to explain mechanism of mode trapping in the convective envelope and to assess what may be learned from the new data.
Methods: Equations for adiabatic oscillations are solved by numerical integration down to the bottom of convective envelope, where the boundary condition is applied. The condition is based on asymptotic decomposition of the fourth order system into components describing a running wave and a nearly uniform shift of radiative core.
Results: If the luminosity of a red giant is sufficiently high (L ≳ 100 L at M = 2 M), the dipolar modes become effectively trapped in the acoustic cavity, which covers the outer part of convective envelope. Energy loss caused by gravity wave emission at the envelope base is a secondary or negligible source of damping. Frequencies are insensitive to structure of the deep interior. Title: Large Magellanic Cloud Cepheids in the ASAS Data Authors: Karczmarek, P.; Dziembowski, W. A.; Lenz, P.; Pietrukowicz, P.; Pojmański, G. Bibcode: 2011AcA....61..303K Altcode: 2012arXiv1201.0790K A catalog of Cepheids in the Large Magellanic Cloud (LMC) from the ASAS project is presented. It contains data on 65 fundamental mode pulsators with periods longer than about 8 days. The period-luminosity (PL) relation in the V-band does not significantly differ from the relation determined from the OGLE-III data extended toward longer periods but shows much larger scatter. For objects with periods longer than 40 d there is an evidence for a shallower PL relation. The rates of long-term period variations significant at 3σ level are found only for seven objects. The rates for 25 objects determined with the 1σ significance are confronted with the values derived from stellar evolution models. The models from various sources yield discrepant predictions. Over the whole data range, a good agreement with measurements is found for certain models but not from the same source. Title: Nonradial Oscillations in Giants and Supergiants: An Update Authors: Dziembowski, Wojciech Bibcode: 2011asa..progE..16D Altcode: No abstract at ADS Title: Kepler observations of δ Scuti stars Authors: Balona, L. A.; Dziembowski, W. A. Bibcode: 2011MNRAS.417..591B Altcode: 2011MNRAS.tmp.1287B We analyse observations of 1568 δ Scuti stars in the public archive of the Kepler satellite. We compare the location of these stars in the Hertzsprung-Russell (HR) diagram with that calculated by linear, non-adiabatic pulsation models. There is generally a good agreement and it appears that many of the hotter δ Scuti stars are pulsating in overtones as high as radial order n= 8. Models predict unstable modes of intermediate and high spherical harmonic, l, which are trapped in the envelope. The instability strip for these modes extends well beyond the blue edge for l≤ 4 and should be visible in the Kepler data. However, stars with these predicted properties are not seen. Moreover, we find that the observed frequency range does not agree with the models. Another challenge is to understand why more than half of the stars in the δ Sct instability strip are not pulsating. The distribution of amplitudes argues strongly against the notion that the pulsation amplitudes are below the Kepler detection limit. The mode density of δ Scuti stars is surprisingly low and suggests that modes of a high degree are not common. We do not find any stars with mode densities as high as that found in the CoRoT observations of HD 50844. The periodograms of stars in the same part of the HR diagram vary widely. However, we have identified a group of δ Scuti stars characterized by a single dominant frequency in which a period-luminosity law is present. In many cases the dominant frequency is accompanied by a close frequency of lower amplitude.

The problem of low frequencies in hot δ Scuti stars remains unresolved. We confirm that these frequencies have long lifetimes and are not likely to be of stochastic origin. By carefully examining the periodograms of δ Sct stars in the low-frequency regime, we were able to identify a group of δ Sct stars with low-frequency peaks closely resembling those attributed to pure γ Dor stars. These stars lie in the region of the HR diagram where ground-based γ Dor stars are located. None is found hotter than the blue edge of γ Dor pulsation. We suspect that these are genuine γ Dor/δ Sct hybrids. Title: VizieR Online Data Catalog: VI light curves of Galactic Bulge RR Lyrae (Soszynski+, 2011) Authors: Soszynski, I.; Dziembowski, W. A.; Udalski, A.; Poleski, R.; Szymanski, M. K.; Kubiak, M.; Pietrzynski, G.; Wyrzykowski, L.; Ulaczyk, K.; Kozlowski, S.; Pietrukowicz, P. Bibcode: 2011yCat.120610001S Altcode: Our observations of the Galactic bulge were obtained at Las Campanas Observatory with the 1.3-m Warsaw telescope. The observatory is operated by the Carnegie Institution of Washington. During the OGLE-III project (2001-2009), theWarsaw telescope was equipped with an eight-chip mosaic camera covering approximately 35x35arcmin in the sky with the scale of 0.26arcsec/pixel.

(5 data files). Title: The Optical Gravitational Lensing Experiment. The OGLE-III Catalog of Variable Stars. XI. RR Lyrae Stars in the Galactic Bulge Authors: Soszyński, I.; Dziembowski, W. A.; Udalski, A.; Poleski, R.; Szymański, M. K.; Kubiak, M.; Pietrzyński, G.; Wyrzykowski, Ł.; Ulaczyk, K.; Kozłowski, S.; Pietrukowicz, P. Bibcode: 2011AcA....61....1S Altcode: 2011arXiv1105.6126S The eleventh part of the OGLE-III Catalog of Variable Stars (OIII-CVS) contains 16 836 RR Lyr stars detected in the OGLE fields toward the Galactic bulge. The total sample is composed of 11 756 RR Lyr stars pulsating in the fundamental mode (RRab), 4989 overtone pulsators (RRc), and 91 double-mode (RRd) stars. About 400 RR Lyr stars are members of the Sagittarius Dwarf Spheroidal Galaxy. The catalog includes the time-series photometry collected in the course of the OGLE survey, basic parameters of the stars, finding charts, and cross-identifications with other catalogs of RR Lyr stars toward the Milky Way center.

We notice that some RRd stars in the Galactic bulge show unusually short periods and small ratio of periods, down to PF≍0.35 days and P1O/PF≍0.726. In the Petersen diagram double-mode RRLyr stars form a parabola-like structure, which connects shorter- and longer-period RRd stars. We show that the unique properties of the bulge RRd stars may be explained by allowing for the wide range of the metal abundance extending up to [Fe/H]≍-0.36.

We report the discovery of an RR Lyr star with additional eclipsing variability with the orbital period of 15.2447 days. Some statistical features of the RRLyr sample are presented. We discuss potential applications of our catalog in studying the structure and history of the central region of the Galaxy, mapping the interstellar extinction toward the bulge, studying globular clusters and the Sagittarius Dwarf Galaxy. Title: Acoustic oscillations in stars near the tip of the red giant branch Authors: Dziembowski, W. A.; Soszyński, I. Bibcode: 2010A&A...524A..88D Altcode: 2010arXiv1009.5989D Context. Small amplitude oscillations are observed in red giant branch (RGB) stars. Data on such oscillations are a source of information about the objects, notably about properties of convection in their envelopes and about the systems these objects inhabit. The OGLE-III catalog contains data for about 80 thousand small amplitude variable red giants (OSARGs) in the Large Magellanic Cloud.
Aims: We want to explain variability oin OSARGs as the solar-like oscillation and to associate the peaks in power spectra with frequencies of acoustic modes.
Methods: We use data on reddening-free magnitudes of the objects and interpret them in terms of stellar physical parameters using tabulated isochrones calculated for ages and composition parameters corresponding to the upper RGB of the LMC. Massive data on the peak frequencies and amplitudes are compared with expectations for stochastically excited oscillations. The frequencies are also compared with those calculated for radial modes in envelope models with parameters taken from the isochrones.
Results: In stars close to the tip of the RGB, the peaks in power spectra are found in the 0.1-1.0 μHz range, which is consistent with extrapolation of the frequency-luminosity relation for the solar-like oscillation. The dominant peaks occur close to the first two radial overtones. The increase in amplitude with luminosity is slower than linear. The exponent s ≈ 0.9 is similar to what is found from recent analysis of CoRoT data on less luminous red giants. Frequency separations between dominant peaks are found to be smaller by about 20% than calculated separations between these modes. After examining various possibilities, we left this discrepancy unexplained.
Conclusions: The small amplitude variability of stars at the RGB tip is likely to be caused by a stochastic excitation of acoustic oscillations but interpreting of individual peaks in power spectra presents a problem. Title: Asteroseismology of rapidly rotating pulsators Authors: Dziembowski, W. A. Bibcode: 2010HiA....15..360D Altcode: Oscillation frequencies were determined for a number of rapidly rotating main sequence stars. However, real seismic probing is still ahead of us. I review here tools that we have for modeling pulsation in rotating stars and their potential application to seismic sounding. Title: Multimode Cepheids in the Large Magellanic Cloud-challenges for theory Authors: Dziembowski, W. A.; Smolec, R. Bibcode: 2009AIPC.1170...83D Altcode: 2009arXiv0907.1417D Data on multimode Cepheids from OGLE-III catalog of the LMC Cepheids are confronted with results from model calculations. Models whose radial mode periods are consistent with observation are not always in agreement with published evolutionary models. Nonradial mode interpretation is considered for the cases of unusual period ratios. The greatest challenge for stellar pulsation theory is explanation of double-mode pulsators with period ratios near 0.6. Title: Driving mechanism in massive B-type pulsators Authors: Dziembowski, W. A. Bibcode: 2009CoAst.158..227D Altcode: 2008arXiv0812.2149D After a historical introduction, I present the current status of our understanding of the mechanism responsible for pulsation in β Cephei and SPB stars. Title: Double-Overtone Cepheids in the Large Magellanic Cloud Authors: Dziembowski, W. A.; Smolec, R. Bibcode: 2009AcA....59...19D Altcode: 2009arXiv0903.2676D One of the most interesting results from the OGLE-III study of the LMC Cepheids is the large number of objects that pulsate simultaneously in the first and second overtone (denoted 1O/2O). Double-mode Cepheids yield important constraint on stellar evolution models. We show that great majority of the LMC 1O/2O Cepheids have masses M=3.0±0.5 Msolar. According to current stellar evolution calculations these masses are lower than needed for the blue loop in the helium burning phase to reach the instability strip. On the other hand, we found most of these stars significantly overluminous if they are crossing the instability strip before helium ignition. A possible solution of this discrepancy is to allow for a large overshooting from the convective core in the main sequence phase. We also discuss origin of double-mode pulsation. At the short period range we find two types of resonances that are conducive to this form of pulsation. However, at longer periods, it has a different (non-resonant) origin. Title: Commission 35: Stellar Constitution Authors: D'Antona, Francesca; Charbonnel, Corinne; Dziembowski, Wojciech; Fontaine, Gilles; Larson, Richard B.; Lattanzio, John; Liebert, Jim W.; Müller, Ewald; Weiss, Achim; Yungelson, Lev R. Bibcode: 2009IAUTA..27..211D Altcode: The Commission home page <iau-c35.stsci.edu> is maintained by Claus Leitherer and contains general information on the Commission structure and activities, including links to stellar structure resources that were made available by the owners. The resources contain evolutionary tracks and isochrones from various groups, nuclear reaction, EOS, and opacity data as well as links to main astronomical journals. As a routine activity, the Organizing Committee has commented on and ranked proposals for several IAU sponsored meetings. Our Commission acted as one of the coordinating bodies of a Symposium held at the IAU XXVI General Assembly in Prague, August 2006, (IAU Symposium No. 239 Convection in Astrophysics, and participated in the organization of the following Joint Discussions: JD05 Calibrating the Top of the Stellar Mass-Luminosity Relation, JD06 Neutron Stars and Black Holes in Star Clusters, JD08 Solar and Stellar Activity Cycles, JD11 Pre-Solar Grains as Astrophysical Tools; JD14 Modelling Dense Stellar Systems; and JD17 Highlights of Recent Progress in the Seismology of the Sun and Sun-like Stars. Title: The photometric method of mode identification for rapidly rotating SPB stars. An application to μ Eridani Authors: Daszyńska-Daszkiewicz, J.; Dziembowski, W. A.; Pamyatnykh, A. A. Bibcode: 2008JPhCS.118a2024D Altcode: We present an outline of a method for mode identification, which relies on a nonadiabatic version of the traditional approximation and involves instability and visibility considerations. Determination of the angular degrees, (l, m), is done simultaneously with the rotation velocity and inclination angle. The method is applied to oscillation frequencies detected in the rapidly rotating SPB star μ Eridani. Title: Looking into B star interiors by means of asteroseismology Authors: Dziembowski, Wojciech A. Bibcode: 2008AIPC.1043..351D Altcode: Precise modeling of upper main sequence stars is important in various astrophysical contexts, including chemical evolution of the Universe. However, there are still significant uncertainties resulting mostly, but not only, from our poor understanding of transport processes. Data on pulsating objects, in particular β Cephei stars, provide us valuable constraints on parameters describing efficiency of these processes and asses the overall accuracy of present stellar models. I review methods of extracting information on stellar interior structure and rotation from pulsation data and present some recent results for selected objects. Title: The two hybrid B-type pulsators: ν Eridani and 12 Lacertae Authors: Dziembowski, W. A.; Pamyatnykh, A. A. Bibcode: 2008MNRAS.385.2061D Altcode: 2008arXiv0801.2451D; 2008MNRAS.tmp..406D The rich oscillation spectra determined for the two stars, ν Eridani and 12 Lacertae, present an interesting challenge to stellar modelling. The stars are hybrid objects showing not only a number of modes at frequencies typical for β Cep stars but also one mode at frequency typical for SPB stars. We construct seismic models of these stars considering uncertainties in opacity and element distribution. We also present estimate of the interior rotation rate and address the matter of mode excitation.

We use both the opacity project (OP) and opacity library Livermore (OPAL) opacity data and find significant difference in the results. Uncertainty in these data remains a major obstacle in precise modelling of the objects and, in particular, in estimating the overshooting distance. We find evidence for significant rotation rate increase between envelope and core in the two stars.

Instability of low-frequency g modes was found in seismic models of ν Eri built with the OP data, but at frequencies higher than those measured in the star. No such instability was found in models of 12 Lac. We do not yet have a satisfactory explanation for the low-frequency modes. Some enhancement of opacity in the driving zone is required but we argue that it cannot be achieved by the iron accumulation, as it has been proposed. Title: Division Iv: Stars Authors: Dravins, Dainis; Spite, Monique; Barbuy, Beatriz; Corbally, Christopher; Dziembowski, Wojciech; Hartkopf, William I.; Sneden, Christopher Bibcode: 2007IAUTB..26..145D Altcode: Division IV organizes astronomers studying the characterization, interior and atmospheric structure of stars of all masses, ages and chemical compositions. Title: Commission 35: Stellar Constitution Authors: Dziembowski, Wojciech A.; D'Antona, Francesca; VandenBerg, Don A.; Charbonnel, Corinne; Christensen-Dalsgaard, Joergen; Guzik, Joyce A.; Langer, Norbert; Larson, Richard B.; Liebert, James W.; Meynet, Georges; Müller, Ewald; Saio, Hideyuki Bibcode: 2007IAUTB..26..158D Altcode: The session was brief and quite informal as there were only six participants. The agenda included my report on organizational activities of the Commission during the 2003-2006 term and Virginia Trimble's presentation Presence of binary stars in the current astronomical literature. I summarize below the most important part of my report. Title: Forecasting Seismic Signatures of Stellar Magnetic Activity Authors: Dziembowski, W. A. Bibcode: 2007AIPC..948..287D Altcode: 2007arXiv0709.2602D For the Sun, a tight correlation between various activity measures and oscillation frequencies is well documented. For other stars, we have abundant data on magnetic activity and its changes but not yet on its seismic signature. A prediction of the activity induced frequency changes in stars based on scaling the solar relations is presented. This seismic signature of the activity should be measurable in the data expected within few years. Title: The Optical Gravitational Lensing Experiment. Period--Luminosity Relations of Variable Red Giant Stars Authors: Soszyński, I.; Dziembowski, W. A.; Udalski, A.; Kubiak, M.; Szymański, M. K.; Pietrzyński, G.; Wyrzykowski, &Lstrok.; Szewczyk, O.; Ulaczyk, K. Bibcode: 2007AcA....57..201S Altcode: 2007arXiv0710.2780S Period--luminosity (PL) relations of variable red giants in the Large (LMC) and Small Magellanic Clouds (SMC) are presented. The PL diagrams are plotted in three planes: log P-K_S, log P-W_JK, and log P-W_I, where W_JK and W_I are reddening free Wesenheit indices. Fourteen PL sequences are distinguishable, and some of them consist of three closely spaced ridges. Each of the sequences is fitted with a linear or quadratic function. The similarities and differences between the PL relations in both galaxies are discussed for four types of red giant variability: OGLE Small Amplitude Red Giants (OSARGs), Miras and Semiregular Variables (SRVs), Long Secondary Periods (LSPs) and ellipsoidal variables.

We propose a new method of separating OSARGs from non-variable stars and SRVs. The method employs the position in the reddening-free PL diagrams and the characteristic period ratios of these multiperiodic variables. The PL relations for the LMC OSARG are compared with the calculated relations for RGB models along isochrones of relevant ages and metallicities. We also compare measured periods and amplitudes of the OSARGs with predictions based on the relations valid for less luminous solar-like pulsators.

Miras and SRVs seem to follow PL relation of the same slopes in the LMC and SMC, while for LSP and ellipsoidal variables slopes in both galaxies are different. The PL sequences defined by LSP variables and binary systems overlap in the whole range of analyzed wavebands. We put forward new arguments for the binary star scenario as an explanation of the LSP variability and elaborate on it further. The measured pulsation to orbital period ratio implies nearly constant ratio of the star radius to orbital distance, R/A approx 0.4, as we find. Combined effect of tidal friction and mass loss enhanced by the low-mass companion may explain why such a value is preferred. Title: Bohdan Paczyński (1940-2007) Authors: Dziembowski, W. A. Bibcode: 2007PASP..119..836D Altcode: No abstract at ADS Title: Asteroseismic signatures of stellar magnetic activity cycles Authors: Metcalfe, T. S.; Dziembowski, W. A.; Judge, P. G.; Snow, M. Bibcode: 2007MNRAS.379L..16M Altcode: 2007MNRAS.tmpL..50M; 2007arXiv0704.1606M Observations of stellar activity cycles provide an opportunity to study magnetic dynamos under many different physical conditions. Space-based asteroseismology missions will soon yield useful constraints on the interior conditions that nurture such magnetic cycles, and will be sensitive enough to detect shifts in the oscillation frequencies due to the magnetic variations. We derive a method for predicting these shifts from changes in the MgII activity index by scaling from solar data. We demonstrate this technique on the solar-type subgiant β Hyi, using archival International Ultraviolet Explorer spectra and two epochs of ground-based asteroseismic observations. We find qualitative evidence of the expected frequency shifts and predict the optimal timing for future asteroseismic observations of this star. Title: Interpretation of the Be star HD 163868 oscillation spectrum based on the MOST observations Authors: Dziembowski, W. A.; Daszyńska-Daszkiewicz, J.; Pamyatnykh, A. A. Bibcode: 2007CoAst.150..213D Altcode: No abstract at ADS Title: Oscillations in main sequence B-type stars - challenges to theory Authors: Dziembowski, W. A. Bibcode: 2007CoAst.150..175D Altcode: The current status of our understanding of the diversity of B-star pulsation is presented with an emphasis on unsolved problems. Not all detected modes are found unstable in standard models. The proposed way of extending the instability by invoking an iron accumulation in the driving zone is not free of difficulties. There are still controversies regarding the excitation of slow modes in Be stars. Nonlinear modelling of radial pulsations in β Cephei stars results in much higher amplitudes than observed. There must be hidden modes involved but we may only speculate about their nature. Title: On the Prospects for Detection and Identification of Low-Frequency Oscillation Modes in Rotating B Type Stars Authors: Daszynska-Daszkiewicz, J.; Dziembowski, W. A.; Pamyatnykh, A. A. Bibcode: 2007AcA....57...11D Altcode: 2007arXiv0704.2279D We study how rotation affects observable amplitudes of high-order g- and mixed r/g-modes and examine prospects for their detection and identification. Our formalism, which is described in some detail, relies on a nonadiabatic generalization of the traditional approximation. Numerical results are presented for a number of unstable modes in a model of SPB star, at rotation rates up to 250 km/s. It is shown that rotation has a large effect on mode visibility in light and in mean radial velocity variations. In most cases, fast rotation impairs mode detectability of g-modes in light variation, as Townsend (2003b) has already noted, but it helps detection in radial velocity variation. The mixed modes, which exist only at sufficiently fast rotation, are also more easily seen in radial velocity. The amplitude ratios and phase differences are strongly dependent on the aspect, the rotational velocity and on the mode. The latter dependence is essential for mode identification. Title: Commission 35: Stellar Constitution Authors: Dziembowski, Wojciech A.; D'Antona, Francesca; Charbonnel, C.; Christensen-Dalsgaard, J.; Guzik, J.; Langer, N.; Larson, R.; Liebert, J.; Meynet, G.; Müller, E.; Saio, H.; Vandenberg, D. Bibcode: 2007IAUTA..26..205D Altcode: Ihe triennial report from Commission 35 covers its organizational activities and highlights accomplishments in various topics of stellar interior physics. Title: Division IV: Stars Authors: Dravins, Dainis; Barbuy, Beatriz; Corbally, Christopher; Dziembowski, Wojciech; Hartkopf, William; Sneden, Christopher; Spite, Monique Bibcode: 2007IAUTA..26..191D Altcode: The IAU Division IV (`Stars') organizes astronomers studying the characteristics, interior and atmospheric structure, and evolution of stars of all masses, ages, and chemical compositions. Title: Excitation and visibility of slow modes in rotating B-type stars Authors: Dziembowski, W. A.; Daszyńska-Daszkiewicz, J.; Pamyatnykh, A. A. Bibcode: 2007MNRAS.374..248D Altcode: 2006astro.ph.11171D; 2006MNRAS.tmp.1306D We use the traditional approximation to describe oscillations with frequencies comparable to the angular rotation rate. Validity of this approximation in application to main-sequence B stars is discussed. Numerical results regarding mode stability and visibility are presented for a model of the Be star HD 163868. For this object, Walker et al. detected a record number of mode frequencies using data from the small space telescope MOST. Our interpretation of these data differs from that of Walker et al. In particular, we interpret peaks in the lowest frequency range as retrograde g modes. We find instability in a large number of modes that remain undetectable because of unfavourable aspect and/or effect of cancellation. There is no clear preference to excitation of prograde modes. Title: Light and Radial Velocity Variations Due to Low-Frequency Oscillations in Rotating Stars Authors: Daszyńska-Daszkiewicz, J.; Dziembowski, W. A.; Pamyatnykh, A. A. Bibcode: 2007EAS....26..129D Altcode: Low-frequency oscillations are unstable in a wide range of stellar models and have been detected in a number of B-type stars. For such modes, even a moderate rotation significantly affects amplitude distribution over stellar surface and hence their visibility conditions. Adopting the traditional approximation, we study effects of rotation on relative amplitudes in photometric passbands and in radial velocity. We present numerical results for unstable modes in a selected stellar model of a 6 M_⊙ main sequence star. The goal is to show how observable amplitudes, which are tools for mode identification, depend on the rotation rate and on the aspect angle. Title: On the nature of small amplitude peaks in delta Scuti oscillation spectra Authors: Daszyńska-Daszkiewicz, J.; Dziembowski, W. A.; Pamyatnykh, A. A. Bibcode: 2006MmSAI..77..113D Altcode: 2005astro.ph..9449D The standard assumption in interpretation of stellar oscillation spectra from photometry is that the excited mode have low angular degrees, typically ℓ< 3. Considering the case of FG Vir, the delta Scuti star with the richest known oscillation spectrum, we show that this assumption is not justified for low amplitude peaks. The ℓ<3 identifications have been found for 12 dominant peaks from pulsation amplitudes and phases. However, we show that for the rest of the peaks (55), whose amplitudes are typically below 1 mmag, much higher ℓ's are most likely. We argue that improving amplitude resolution to the micromagnitude level, as expected from space observations, is not likely to be rewarded with a credible mode identifications because the spectra will be dominated by high-ℓ modes of unknown azimuthal order, m. Title: Progress in understanding and exploiting stellar oscillation spectra . Authors: Dziembowski, W. A. Bibcode: 2006MmSAI..77..348D Altcode: 2005astro.ph..9451D Rich oscillation spectra of dwarf-like pulsators contain a wealth of information about the object interiors and, in particular, about macroscopic transport processes, which is the most difficult aspect of stellar physics. Examples of extracting such information from data on solar-like and opacity driven pulsators are given. Problems in understanding new oscillation spectra are discussed. Importance of employing various data on excited mode is emphasized. Title: Applications of pulsation amplitudes and phases for B-type main sequence pulsators Authors: Daszyńska-Daszkiewicz, J.; Dziembowski, W. A.; Pamyatnykh, A. A. Bibcode: 2006MmSAI..77..449D Altcode: Combined data on pulsation amplitudes and phases from multicolour photometry and spectroscopy yield constraints on mode identification as well as on mean stellar parameters. The data allow for determination of a certain complex parameter which may be compared with the model value and thus constitute a new seismic probe of stellar interior, specifically of its outer layers. We present here some results obtained for the two beta Cephei stars delta Ceti and nu Eridani. We found significant differences between models calculated with opacities from the OPAL and OP projects. Title: Obituary: Norman Hodgson Baker Jr (1931 - 2005) Authors: Dziembowski, Wojciech; Gautschy, Alfred; Gough, Douglas Bibcode: 2006MmSAI..77...33D Altcode: No abstract at ADS Title: A seismic tool to study stellar structure and evolution of differentially rotating stars Authors: Suárez, J. C.; Goupil, M. J.; Dziembowski, W. Bibcode: 2005ASPC..333..247S Altcode: Binary systems can be one of the sources producing differential rotation inside stellar structures. Stellar evolution is thus conditioned to how rotation modifies different regions in stellar interiors. In this work we present the first numerical results of adiabatic frequencies in an intermediate mass star model, using a perturbation method up to the second order, taking into account a radial differential rotation. We show, as we predicted, that g and mixed modes are the most affected by differential rotation. Differences up to 3 -- 4 μHz respectively in first and second order corrections to the frequency are found. This can be a very important step toward the comprehension of the rotation profile in such stars, and thus of their evolution. Title: VizieR Online Data Catalog: IVB mag of LMC ellipsoidal variables (Soszynski+, 2004) Authors: Soszynski, I.; Udalski, A.; Kubiak, M.; Szymanski, M. K.; Pietrzynski, G.; Zebrun, K.; Szewczyk, O.; Wyrzykowski, L.; Dziembowski, W. A. Bibcode: 2005yCatp005005403S Altcode: We used the OGLE-II and OGLE-III photometry of red giants in the Large Magellanic Cloud to select and study objects revealing ellipsoidal variability. We detected 1546 candidates for long period ellipsoidal variables and 121 eclipsing binary systems with clear ellipsoidal modulation.

(2 data files). Title: Constraints on parameters of B-type pulsators from combined multicolour photometry and radial velocity data. I. β Cephei stars Authors: Daszyńska-Daszkiewicz, J.; Dziembowski, W. A.; Pamyatnykh, A. A. Bibcode: 2005A&A...441..641D Altcode: 2005astro.ph..7253D We analyze data on pulsation amplitudes and phases for two β Cephei stars, δ Cet and ν Eri. Strömgren photometry and radial velocity measurements are used simultaneously to obtain constraints on mean parameters of the stars and identification of the excited modes. The inference about the radial mode order and mean star parameters is based on comparison of certain complex parameter, f, determined from data, with its counterpart derived from linear nonadiabatic modelling of stellar oscillations. The theoretical f values are very sensitive to the adopted opacity data. In our modelling we rely on the data from OPAL and OP projects. Significant differences were found. New seismic models of ν Eri were constructed with both the OPAL and OP opacities. Title: Cluster Ages Experiment (CASE): SX Phe stars from the globular cluster ω Centauri Authors: Olech, A.; Dziembowski, W. A.; Pamyatnykh, A. A.; Kaluzny, J.; Pych, W.; Schwarzenberg-Czerny, A.; Thompson, I. B. Bibcode: 2005MNRAS.363...40O Altcode: 2005MNRAS.tmp..797O; 2004astro.ph.12523O We present an analysis and interpretation of oscillation spectra for all 69 SX Phoenicis stars discovered in the field of the cluster. For most of the stars we have reliable absolute magnitudes and colours. Except for one or perhaps two objects, the stars are cluster members. Their pulsational behaviour is very diverse. Multiperiodic variability with at least part of the excited modes being non-radial is most common but there are also many cases of high-amplitude, presumably radial mode, pulsators. In a number of such cases we have evidence for two radial modes being excited. Parameters of radial mode pulsators are in most cases consistent with standard evolutionary models for stars in the mass range 0.9-1.15Msolar. However, in four cases we have evidence that the masses are significantly lower than expected. Three objects show frequency triplets that may be interpreted in terms of rotational frequency splitting of l= 1 modes. Implied equatorial velocities of rotation are from 10 to over 100 km s-1. Nearly all measured frequencies fall in the ranges predicted for unstable modes. Two cases of low-frequency variability are interpreted as being caused by tidal distortion induced by close companions. Title: Inferences from pulsational amplitudes and phases for multimode δ Sct star FG Vir Authors: Daszyńska-Daszkiewicz, J.; Dziembowski, W. A.; Pamyatnykh, A. A.; Breger, M.; Zima, W.; Houdek, G. Bibcode: 2005A&A...438..653D Altcode: 2005astro.ph..4177D We combine photometric and spectroscopic data on twelve modes excited in FG Vir to determine their spherical harmonic degrees ℓ, and to obtain constraints on the star model. The effective temperature consistent with the mean colours and the pulsation data is about 7200 K. In six cases, the ℓ identification is unique with above 80% probability. Two modes are identified as radial. Simultaneously with ℓ, we determine a complex parameter f which probes subphotospheric stellar layers. Comparing its values with those derived from models assuming different treatment of convection, we find evidence that convective transport in the envelope of this star is inefficient. Title: Seismic Diagnostics of Mixing Beyond the Convective Core in Intermediate Mass Main-Sequence Stars Authors: Popielski, B. L.; Dziembowski, W. A. Bibcode: 2005AcA....55..177P Altcode: 2005astro.ph..5522P We study prospects for seismic sounding the layer of a partial mixing above the convective core in main-sequence stars with masses in the 1.2-1.9 M_odot range. There is an initial tendency to increase of the convective core mass in such stars and this leads to ambiguities in modeling. Solar-like oscillations are expected to be excited in such objects. Frequencies of such oscillations provide diagnostics, which are sensitive to the structure of the innermost part of the star and they are known as the small separations. We construct evolutionary models of stars in this mass range assuming various scenarios for element mixing, which includes formation of element abundance jumps, as well as semiconvective and overshooting layers. We find that the three point small separations employing frequencies of radial and dipole modes provide the best probe of the element distribution above the convective core. With expected accuracy of frequency measurement from the space experiments, a discrimination between various scenarios should be possible. Title: On the Nature of Regular Pulsation in Two LBV Stars of NGC 300 Authors: Dziembowski, W. A.; Slawinska, J. Bibcode: 2005AcA....55..195D Altcode: Two A-type supergiants in NGC 300 exhibit periodic light variations. The measured periods are 72.5 and 96.1 days. We show that the variability may be explained by the excitation of strange mode driven by the opacity mechanism acting in the layer of the iron opacity bump. The explanation requires that the two stars are significantly undermassive. In sequences of stellar models with decreasing luminosity-to-mass ratio, the unstable strange modes represent continuations of strictly aperiodic thermal modes. Title: Seismology of triple-mode classical Cepheids of the Large Magellanic Cloud Authors: Moskalik, P.; Dziembowski, W. A. Bibcode: 2005A&A...434.1077M Altcode: 2005astro.ph..1417M We interpret the three periods detected in OGLE LMC Cepheids SC3-360128 and SC5-338399 as corresponding to the first three overtones of radial pulsations. This interpretation imposes stringent constraints on parameters of the stars and on their evolutionary status, which could only be the first crossing of the instability strip. Evolutionary models reproducing measured periods exist only in a restricted range of metallicities (Z=0.004 {-} 0.007). The models impose an upper limit to the extent of overshooting from the convective core. Absolute magnitude of each star is confined to a narrow interval, which allows us to derive a new estimate of the distance to the LMC. We obtain the value of m-M ranging from 18.34 m to 18.53 m with a systematic difference between the two stars of about 0.13 m. The rates of period change predicted by the models are formally in conflict with the derived observational limits, though the uncertainties of measured dot{P} may have been underestimated. If this discrepancy is confirmed, it would constitute a significant challenge to the stellar evolution theory. Title: Sources of Oscillation Frequency Increase with Rising Solar Activity Authors: Dziembowski, W. A.; Goode, P. R. Bibcode: 2005ApJ...625..548D Altcode: 2005astro.ph..3266D We analyze and interpret SOHO MDI data on oscillation frequency changes between 1996 and 2004, focusing on differences between the activity minimum and maximum of solar cycle 23. We study only the behavior of the centroid frequencies, which reflect changes averaged over spherical surfaces. Both the f-mode and p-mode frequencies are correlated with general measures of the Sun's magnetic activity. However, the physics behind each of the two correlations is quite different. We show that for the f-modes the dominant cause of the frequency increase is the dynamical effect of the rising magnetic field. The relevant rise must occur in subphotospheric layers reaching to some 0.5-0.7 kG at a depth of about 5 Mm. However, the implied constraints also require the field change in the atmosphere to be so small that it has only a tiny dynamical effect on p-mode frequencies. For p-modes, the most plausible explanation of the frequency increase is a less than 2% decrease in the radial component of the turbulent velocity in the outer layers. Lower velocity implies a lower efficiency of the convective transport, hence lower temperature, which also contributes to the p-mode frequency increase. Title: The Optical Gravitational Lensing Experiment. Ellipsoidal Variability of Red Giants in the Large Magellanic Cloud Authors: Soszyński, I.; Udalski, A.; Kubiak, M.; Szymański, M. K.; Pietrzyński, G.; Żebruń, K.; Szewczyk, O.; Wyrzykowski, Ł.; Dziembowski, W. A. Bibcode: 2004AcA....54..347S Altcode: 2004astro.ph.12505S We used the OGLE-II and OGLE-III photometry of red giants in the Large Magellanic Cloud to select and study objects revealing ellipsoidal variability. We detected 1546 candidates for long period ellipsoidal variables and 121 eclipsing binary systems with clear ellipsoidal modulation. The ellipsoidal red giants follow a period--luminosity (PL) relationship (sequence E), and the scatter of the relation is correlated with the amplitude of variability: the larger the amplitude, the smaller the scatter.

We note that some of the ellipsoidal candidates exhibit simultaneously OGLE Small Amplitude Red Giants pulsations. Thus, in some cases the Long Secondary Period (LSP) phenomenon can be explained by the ellipsoidal modulation.

We also select about 1600 red giants with distinct LSP, which are not ellipsoidal variables. We discover that besides the sequence D in the PL diagram known before, the LSP giants form additional less numerous sequence for longer periods. We notice that the PL sequence of the ellipsoidal candidates is a direct continuation of the LSP sequence toward fainter stars, what might suggest that the LSP phenomenon is related to binarity but there are strong arguments against such a possibility.

About 10% of the presented light curves reveal clear deformation by the eccentricity of the system orbits. The largest estimated eccentricity in our sample is about 0.4.

All presented data, including individual BVI observations and finding charts are available from the OGLE Internet archive. Title: Nonradial Mode Excitation as the Cause of the Blazhko Effect in RR Lyrae Stars Authors: Dziembowski, W. A.; Mizerski, T. Bibcode: 2004AcA....54..363D Altcode: 2005astro.ph..1435D A significant fraction of RR Lyr stars exhibits amplitude and/or phase modulation known as the the Blazhko effect. The oscillation spectra suggest that, at least in most of the cases, excitation of a nonradial modes in addition to the dominant radial modes is responsible for the effect. Though model calculations predict that nonradial modes may be excited, there are problems with explaining their observed properties in terms of finite amplitude development of the linear instability. We propose a scenario, which like some previous, postulates energy transfer from radial to nonradial modes, but avoids those problems. The scenario predicts lower amplitudes in Blazhko stars. We check this prediction with a new analysis of the Galactic bulge RR Lyr stars from OGLE-II database. The effect is seen, but the amplitude reduction is smaller than predicted. Title: Various applications of multicolour photometry and radial velocity data for multimode δ Scuti stars Authors: Daszynska-Daszkiewicz, J.; Dziembowski, W. A.; Pamyatnykh, A. A.; Breger, M.; Zima, W. Bibcode: 2004IAUS..224..853D Altcode: 2004astro.ph.11082D In addition to revealing spherical harmonic degrees, ℓ, of excited modes, pulsational amplitudes and phases from multicolour photometry and radial velocity data yield valuable constraints on stellar atmospheric parameters and on subphotospheric convection. Multiperiodic pulsators are of particular interest because each mode yields independent constraints. We present an analysis of data on the twelve modes observed in FG Vir. Title: Identification of modes in main-sequence pulsators by means of multi-color photometry Authors: Daszynska-Daszkiewicz, J.; Dziembowski, W. A.; Pamyatnykh, A. A. Bibcode: 2004CoAst.145....6D Altcode: We discuss two problems connected with the application of the method of photometric amplitudes and phases for mode identification. The first one concerns the effect of rotational mode coupling in Beta Cep models. The second one deals with the strong dependence of the photometric observables on convection in Delta Scuti stars. Title: On application of multi-colour photometry of δ Scuti stars Authors: Daszyńska-Daszkiewicz, J.; Dziembowski, W. A.; Pamyatnykh, A. A. Bibcode: 2004ASPC..310..255D Altcode: 2004vslg.conf..255D; 2004IAUCo.193..255D In δ Scuti star models the photometric amplitudes and phases exhibit a strong dependence on convection, which enters through the complex parameter, f, that describes the bolometric flux variation. We present a new method of extracting l and f from multi color data and apply it to several δ Scuti stars. The inferred values of f are sufficiently accurate to yield a useful constraint on models of stellar convection. Title: Asteroseismology of the β Cephei star ν Eridani: interpretation and applications of the oscillation spectrum Authors: Pamyatnykh, A. A.; Handler, G.; Dziembowski, W. A. Bibcode: 2004MNRAS.350.1022P Altcode: 2004astro.ph..2354P The oscillation spectrum of ν Eri is the richest known for any variable of the β Cephei type. We interpret the spectrum in terms of normal mode excitation and construct seismic models of the star. The frequency data combined with data on mean colours set the upper limit on the extent of overshooting from the convective core. We use data on rotational splitting of two dipole (l= 1) modes (g1 and p1) to infer properties of the internal rotation rate. Adopting a plausible hypothesis of nearly uniform rotation in the envelope and increasing rotation rate in the μ-gradient zone, we find that the mean rotation rate in this zone is about three times faster than in the envelope. In our standard model only the modes in the middle part of the oscillation spectrum are unstable. To account for excitation of a possible high-order g mode at ν= 0.43 cd-1 as well as p modes at ν > 6 cd-1 we have to invoke an overabundance of Fe in the driving zone. Title: Measurements of magnetic fields over the pulsation cycle in six roAp stars with FORS 1 at the VLT Authors: Hubrig, S.; Kurtz, D. W.; Bagnulo, S.; Szeifert, T.; Schöller, M.; Mathys, G.; Dziembowski, W. A. Bibcode: 2004A&A...415..661H Altcode: 2003astro.ph..9561H With FORS 1 at the VLT we have tried for the first time to measure the magnetic field variation over the pulsation cycle in six roAp stars to begin the study of how the magnetic field and pulsation interact. For the star HD 101065, which has one of the highest photometric pulsation amplitudes of any roAp star, we found a signal at the known photometric pulsation frequency at the 3σ level in one data set; however this could not be confirmed by later observations. A preliminary simple calculation of the expected magnetic variations over the pulsation cycle suggests that they are of the same order as our current noise levels, leading us to expect that further observations with increased S/N have a good chance of achieving an unequivocal detection.

Based on observations obtained at the European Southern Observatory, Paranal, Chile (ESO programmes Nos. 69.D-0210 and 270.D-5023). Title: Helioseismic Probing of Solar Variability: The Formalism and Simple Assessments Authors: Dziembowski, W. A.; Goode, P. R. Bibcode: 2004ApJ...600..464D Altcode: 2003astro.ph.10095D We derive formulae connecting the frequency variations in the spectrum of solar oscillations to the dynamical quantities that are expected to change over the solar activity cycle. This is done for both centroids and the asymmetric part of the fine structure (so-called even-a coefficients). We consider the near-surface, small-scale magnetic and turbulent velocity fields, as well as horizontal magnetic fields buried near the base of the convective zone. For the centroids we also discuss the effect of temperature variation. We demonstrate that there is a full, one-to-one correspondence between the expansion coefficients of the fine structure and those of both the averaged small-scale velocity and magnetic fields. Measured changes in the centroid frequencies and the even-a coefficients over the rising phase solar cycle may be accounted for by a decrease in the turbulent velocity of order 1%. We show that the mean temperature decrease associated with the net decrease in the efficiency of convective transport may also significantly contribute to the increase of the centroid frequencies. Alternatively, the increase may be accounted for by an increase of the small-scale magnetic field of order 100 G, if the growing field is predominantly radial. We also show that global seismology can be used to detect a field at the level of a few times 105 G, if such a field were present and confined to a thin layer near the base of the convective envelope. Title: Preliminary numerical effects of shellular rotation on adiabatic frequencies Authors: Suárez, J. C.; Goupil, M. J.; Michel, E.; Dziembowski, W. A.; Lebreton, Y.; Morel, P. Bibcode: 2004ESASP.538..431S Altcode: 2004sshp.conf..431S In this work we present preliminary numerical results on the adiabatic frequencies in an intermediate mass star model, using a perturbation method up to the second order, taking into account radial differential rotation. We show, as we predicted, that g and mixed modes are the most affected by differential rotation. We found differences up to 5 μHz in the first and second order corrections to the frequency. This can be a very important step towards the understanding of the rotation profile in intermediate mass stars. Title: Inferring information about rotation from stellar oscillations Authors: Goupil, M. J.; Samadi, R.; Lochard, J.; Dziembowski, W. A.; Pamyatnykh, A. Bibcode: 2004ESASP.538..133G Altcode: 2003astro.ph.10360G; 2004sshp.conf..133G The first part of this paper briefly illustrates the intense scientific activity in the field of stellar rotation, while the second part is devoted to discussing rotation as a perturbation effect upon oscillation frequencies. The discussion focuses on one specific example: the p-modes frequency small separation which provides information about properties of the stellar inner layers. It is shown that the small separation can be affected by rotation at the level of 0.1-0.2 μHz for a 1.4 Msolar model rotating with an equatorial velocity of 20 km/s at the surface. This is of the same order of magnitude as the expected precision on frequencies with a 3 months observation and must therefore be taken into account. We show however that it is possible to recover the small separation free of these contaminating effects of rotation, provided enough high quality data are available as will be with space seismic missions such as Eddington. Title: On application of multi-colour photometry of $\delta$ Scuti stars Authors: Daszy{ń}ska-Daszkiewicz, J.; Dziembowski, W. A.; Pamyatnykh, A. A. Bibcode: 2003astro.ph..9319D Altcode: In $\delta$ Scuti star models, the photometric amplitudes and phases exhibit a strong dependence on convection, which enters through the complex parameter, $f$, which describes the bolometric flux variation. We present a new method of extracting simultaneously $\ell$ and $f$ from multi-colour data and apply it to several $\delta$ Scuti stars. The inferred values of $f$ are sufficiently accurate to yield an useful constraint on models of stellar convection. In addition, if the identified mode is radial, the multi-passband data may be used to refine global stellar parameters. Finally, the usage of radial velocity measurements to our method improves significantly determination of $\ell$ and $f$. Title: Constraints on stellar convection from multi-colour photometry of delta Scuti stars Authors: Daszyńska-Daszkiewicz, J.; Dziembowski, W. A.; Pamyatnykh, A. A. Bibcode: 2003A&A...407..999D Altcode: 2003astro.ph..5539D In delta Scuti star models, the calculated amplitude ratios and phase differences for multi-colour photometry exhibit a strong dependence on convection. These observables are tools for the determination of the spherical harmonic degree, l, of the excited modes. The dependence on convection enters through the complex parameter f, which describes bolometric flux perturbation. We present a method of simultaneous determination of f and harmonic degree l from multi-colour data and apply it to three delta Scuti stars. The method indeed works. Determination of l appears unique and the inferred values of f are sufficiently accurate to yield a useful constraint on models of stellar convection. Furthermore, the method helps to refine stellar parameters, especially if the identified mode is radial. Title: Sunshine, Earthshine and Climate Change I. Origin of, and Limits on Solar Variability Authors: Goode, Philip R.; Dziembowski, W. A. Bibcode: 2003JKAS...36S..75G Altcode: No abstract at ADS Title: An interpretation of the line profile variations of RR Lyrae Authors: Kolenberg, K.; Aerts, C.; Fokin, A.; Dziembowski, W.; Chadid, M.; Gillet, D. Bibcode: 2003ASPC..292..171K Altcode: 2003ipc..conf..171K The results of a detailed frequency analysis on high-resolution spectroscopic observations of the Blazhko star RR Lyrae provided a strong evidence for the presence of nonradial modes in the star. The detection and identification of these nonradial modes make up the main goal of this study, and would lead to a better understanding of the origin of the Blazhko effect. Title: Are Pulsation and Magnetic Axes Aligned in roAp Stars? Authors: Bigot, L.; Dziembowski, W. A. Bibcode: 2003Ap&SS.284..217B Altcode: It is commonly assumed that in the rapidly oscillating Ap (roAp) stars the mode axis is aligned or nearly aligned with the magnetic field axis. This would be possible if the field is the only important effect causing departure from spherical symmetry. We show that even though these stars are slow rotators, the centrifugal force cannot be neglected. The consequence is that the modes cannot be in general symmetric about the magnetic field. We argue that such a symmetry is not implied by the observed coincidence between the field and pulsation amplitude maxima. Title: Photometric Nonadiabatic Obervables in Rotating β Cephei Models Authors: Daszyńska-Daszkiewicz, J.; Dziembowski, W. A.; Pamyatnykh, A. A. Bibcode: 2003Ap&SS.284..133D Altcode: We study how moderate rotation affects photometric observables in β Cephei stars. The most important effect is the rotational mode coupling of modes with harmonic degree, l, differing by 2 and the same azimuthal order, m, if the frequencies are close. This is not an uncommon situation among unstable modes in β Cep stars. Positions of the coupled modes in the amplitude ratio vs. phase difference diagrams are aspect, i, - and m-dependent. Inference from the diagrams becomes more complicated. Title: Constraints on Stellar Interior Physics from Oscillations Authors: Dziembowski, W. A. Bibcode: 2003ASPC..293..262D Altcode: 2003tdse.conf..262D Oscillating stars occupying various parts of the H-R diagram differ in types of excited modes. In this review I distinguish four types of oscillations encountered in stars. These are: pure g-modes; mixed modes; high amplitude radial modes; and high-order p-modes. I discuss separately how the frequency data of each of these types are being used to obtain constraints on uncertain aspects of stellar physics. The most troubling uncertainties concern convection, its efficiency in energy transport, and the extent of element mixing beyond boundaries of the unstable regions. There are uncertainties in the description of angular momentum transport and various coefficient from microscopic physics. I also give a brief survey of unsolved problems in stellar oscillation theory awaiting progress in numerical simulations. Title: Nonlinearity of Nonradial Modes in Evolved Stars Authors: Nowakowski, Rafał M.; Dziembowski, Wojciech A. Bibcode: 2003Ap&SS.284..273N Altcode: 2003astro.ph..1504N We show that in evolved stars, even at relatively low surface amplitudes, nonradial modes become strongly nonlinear in the hydrogen shell source, where the Brunt-Väisälä frequency has its absolute maximum. The measure of nonlinearity is the product of horizontal displacement times the radial wavenumber, |\xi_H k_r|. It becomes large already in evolved δ-Scuti stars. This nonlinearity presents a major problem for interpretations of amplitude modulation in RR Lyrae stars in terms of nonradial mode excitation. Title: On the diversity of stellar pulsations Authors: Dziembowski, Wojciech A. Bibcode: 2003safd.book...23D Altcode: Pulsation is a common phenomenon in stars. It occurs in a wide range of their masses and in all evolutionary phases, exhibiting large variety of forms. Stochastic driving and just two distinct instability mechanisms are the cause of the widespread phenomenon. The diversity of pulsation properties in stars across the H-R diagram is partially explained in terms of differences in the ranges of unstable modes and in terms nonlinear mechanisms of amplitude limitation. Still a great deal remains to be explained. Title: ν Eridani: a Very Slowly Rotating and Possibly Magnetic β Cephei Star Authors: Dziembowski, W. A.; Jerzykiewicz, M. Bibcode: 2003ASPC..305..319D Altcode: 2003mfob.conf..319D No abstract at ADS Title: Sources of the Solar p- and F-Mode Frequency Variations Authors: Dziembowski, Wojciech A.; Goode, Philip R. Bibcode: 2003IAUJD..12E..23D Altcode: We have derived formulae connecting the frequency variations both centroids and the asymmetric part of the fine structure (the even-a coefficients) in the the spectrum of solar oscillations to the dynamical quantities that are expected to change over the solar activity cycle. We considered the near-surface small-scale magnetic and turbulent velocity fields as well as horizontal magnetic fields buried near the base of the convective zone.

Measured changes in the centroid frequencies and the even even-a's over the solar cycle may be accounted for by a decrease in the turbulent velocity of order percent going from activity minimum to maximum. Alternatively the changes may be accounted for by an increase of the small-scale magnetic field of order 100 G if the growing field is predominantly radial. Both sources are localized near photosphere. We also show discuss seismic evidence for stronger field in deep layers. Showing that that global seismology would detect a field at the level of a fraction of MG if such a field were present and confined to a thin layer near the base of the convective envelope Title: Photometric amplitudes and phases of nonradial oscillation in rotating stars Authors: Daszyńska-Daszkiewicz, J.; Dziembowski, W. A.; Pamyatnykh, A. A.; Goupil, M. -J. Bibcode: 2002A&A...392..151D Altcode: 2002astro.ph..6109D Effects of rotational mode coupling on photometric parameters of stellar oscillations are studied. At moderate rotation rates, a strong coupling between modes of spherical harmonic degree, l, differing by 2 and of the same azimuthal order, m, takes place if the frequencies are close. This is a common situation amongst main sequence pulsators. Numerical results for a sequence of beta Cephei star models are reported for the two- and three-mode couplings.\ One consequence of mode coupling is that modes of higher degree should be considered in photometric mode identification. Modes with nominal degree l>2 acquire substantial lle2 components and therefore are more likely to reach detectable amplitudes. Coupled mode positions in the amplitude ratio - phase difference diagrams, based on multicolour photometry, become both aspect- and m-dependent. Examples of the mode path in the diagram with varying aspect are given. The diagrams remain a useful tool for mode identification in rotating stars but the tool must be used with care. Title: The oblique pulsator model revisited Authors: Bigot, L.; Dziembowski, W. A. Bibcode: 2002A&A...391..235B Altcode: The oblique pulsator model accounts for most of the pulsation properties of the rapidly oscillating Ap (roAp) stars. The model predicts that modes are seen as equidistant multiplets separated by the angular frequency of rotation. The relative amplitudes of the components may be calculated and directly compared with observations. The effects of rotation introduce amplitude asymmetry, that is peaks corresponding to azimuthal numbers m and -m are unequal. In this paper we propose improvements to the model that consist of including effects of the centrifugal force and in using a non-perturbative treatment of the magnetic field influence. We show that in roAp stars the centrifugal force is the primary source of the rotational frequency shift. Although the amplitude asymmetry arises from the Coriolis force, its size is strongly affected by the centrifugal force. For dipole modes (l=1) we develop a simple geometrical picture of pulsation in the presence of rotation and a magnetic field. We provide some numerical results for a representative model of roAp stars which is applied to the case of HR 3831. We find that the mode that agrees with the observed amplitude ratios in this star significantly departs from alignment with the magnetic axis. We discuss problems posed by the observational data of HR 3831, emphasizing difficulties of the standard oblique pulsator model which assumes that the excited mode is nearly aligned with the magnetic field. Title: What dynamic changes in the Sun drive the evolution of oscillation frequencies through the activity cycle? Authors: Goode, Philip R.; Dziembowski, W. A. Bibcode: 2002ESASP.508...15G Altcode: 2002soho...11...15G The frequencies of solar oscillations (f- and p-modes) evolve through the solar cycle. The changes are driven by some combination of changes in the magnetic field, thermal structure and velocity field. It is unclear what is the precise combination of the three. One way or another, this thorny issue rests on an understanding of the response of the solar structure to increased magnetic field, but this is complicated. As well, we do not understand the origin of the sun's irradiance increase with increasing magnetic activity. Until recently, it seemed that an unphysically large magnetic field change was required to account for the frequency evolution during the cycle. However, the problem seems to have been solved (Dziembowski, Goode & Schou 2001). Specifically, a small-scale magnetic field was considered assuming uncorrelated field components - allowing the vertical component to be statistically different from the two horizontal ones. It turns out that a purely radial random field is the most economical, as well as being more physically sensible for other reasons. Furthermore, the solution might have a direct bearing on the origin of the irradiance variation. We discuss recent results and the present state of our knowledge. Title: On the Combined Effects of a Magnetic Field and Rotation on Acoustic Modes Authors: Bigot, L.; Dziembowski, W. A. Bibcode: 2002ASPC..259..290B Altcode: 2002IAUCo.185..290B; 2002rnpp.conf..290B No abstract at ADS Title: Changes in Solar Oscillation Frequencies during the Current Activity Maximum: Analysis and Interpretation Authors: Dziembowski, W. A.; Goode, P. R. Bibcode: 2002ASPC..259..476D Altcode: 2002IAUCo.185..476D; 2002rnpp.conf..476D; 2001astro.ph..9344D We describe systematic changes in the centroid frequencies and the splitting coefficients as found using data from MDI on board SOHO, covering cycle 23. The data allow us to construct a seismic map of the evolving solar activity -- covering all latitudes. At lower latitudes, the temporal evolution closely tracks that of {\it butterfly diagram}. The additional information from higher latitudes in the map is of a significant activity in the polar region, peaking at activity minimum in 1996. The most plausible source of solar oscillation frequency changes over the solar cycle is the evolution of the radial component of the small-scale magnetic field. The amplitude of the required mean field changes is about 100 G at the photosphere, and increasing going inward. Title: Oscillations of α UMa and other red giants Authors: Dziembowski, W. A.; Gough, D. O.; Houdek, G.; Sienkiewicz, R. Bibcode: 2001MNRAS.328..601D Altcode: 2001astro.ph..8337D There is growing observational evidence that the variability of red giants could be caused by self-excitation of global modes of oscillation. The most recent evidence of such oscillations was reported for αUMa by Buzasi et al. who analysed space photometric data from the WIRE satellite. Little is understood concerning the oscillation properties in red giants. In this paper we address the question as to whether excited radial and non-radial modes can explain the observed variability in red giants. In particular, we present the results of numerical computations of oscillation properties of a model of αUMa and of several models of a 2-Msolar star in the red giant phase. The red giant stars that we have studied have two cavities that can support oscillations: the inner core that supports gravity (g) waves and the outer one that supports acoustic (p) waves. Most of the modes in the p-mode frequency range are g modes confined in the core; those modes with frequencies close to a corresponding characteristic frequency of a p mode in the outer cavity are of mixed character and have substantial amplitudes in the outer cavity. We have shown that such modes of low degree, l=1 and 2, together with the radial (p) modes, can be unstable. The linear growth rates of these non-radial modes are similar to those of corresponding radial modes. In the model of αUMa and in the 2-Msolar models in the lower regions of the giant branch, high amplitudes in the p-mode cavity arise only for modes with l=2. We have been unable to explain the observed oscillation properties of αUMa, either in terms of mode instability or in terms of stochastic excitation by turbulent convection. The modes with the lowest frequencies, which exhibit the largest amplitudes and may correspond to the first three radial modes, are computed to be unstable if all of the effects of convection are neglected in the stability analyses. However, if the Lagrangian perturbations of the turbulent fluxes (heat and momentum) are taken into account in the pulsation calculation, only modes with higher frequencies are found to be unstable. The observed frequency dependence of amplitudes reported by Buzasi et al. does not agree with what one expects from stochastic excitation. This mechanism predicts an amplitude of the fundamental mode about two orders of magnitude smaller than the amplitudes of modes with orders n>=5, which is in stark disagreement with the observations. Title: Helioseismic Role of Polar Fields Authors: Varsik, J. R.; Goode, P. R.; Dziembowski, W. A.; Didkovsky, L.; Woddard, M. F. Bibcode: 2001AAS...199.8801V Altcode: 2001BAAS...33.1433V We examine the relationship between the change of helioseismic frequencies at high latitudes during the solar cycle and the change in the solar polar magnetic field. Helioseismic data from SOHO/MDI are used to construct a helioseismic butterfly diagram, that is, the total contributions, binned by latitude, of the p-mode splittings decomposed into Legendre polynomials. We cover the period of the rise of Cycle 23. We compare the frequency change contributions to polar field strengths, in latitude bins, obtained from BBSO polar field observations. Also we examine the residual intensity variations, binned by latitude from the BBSO solar disk photometer. Title: Does the Sun Shrink with Increasing Magnetic Activity? Authors: Dziembowski, W. A.; Goode, P. R.; Schou, J. Bibcode: 2001ApJ...553..897D Altcode: 2001astro.ph..1473D We have analyzed the full set of Solar and Heliospheric Observatory (SOHO) Michelson Doppler Imager (MDI) f- and p-mode oscillation frequencies from 1996 to date in a search for evidence of solar radius evolution during the rising phase of the current activity cycle. Just as Antia et al. in 2000, we find that a significant fraction of the f-mode frequency changes scale with frequency and that if these are interpreted in terms of a radius change, it implies a shrinking Sun. Our inferred rate of shrinkage is about 1.5 km yr-1, which is somewhat smaller than found by Antia et al. We argue that this rate does not refer to the surface but, rather, to a layer extending roughly from 4 to 8 Mm beneath the visible surface. The rate of shrinking may be accounted for by an increasing radial component of the rms random magnetic field at a rate that depends on its radial distribution. If it were uniform, the required field would be ~7 kG. However, if it were inwardly increasing, then a 1 kG field at 8 Mm would suffice. To assess contribution to the solar radius change arising above 4 Mm, we analyzed the p-mode data. The evolution of the p-mode frequencies may be explained by a magnetic field growing with activity. Our finding here is very similar to that of Goldreich et al. (1991). If the change were isotropic, then a 0.2 kG increase, from activity minimum to maximum, is required at the photosphere, which would grow to about 1 kG at 1 Mm. If only the radial component of the field were to increase, then the requirement for the photospheric field increase is reduced to a modest 60-90 G. A relative decrease in temperature of the order of 10-3 in the subphotospheric layers, or an equivalent decrease in the turbulent energy, would have a similar effect to the required inward growth of magnetic field change. The implications of the near-surface magnetic field changes depend on the anisotropy of the random magnetic field. If the field change is predominantly radial, then we infer an additional shrinking at a rate between 1.1 and 1.3 km yr-1 at the photosphere. If, on the other hand, the increase is isotropic, we find a competing expansion at a rate of 2.3 km yr-1. In any case, variations in the Sun's radius in the activity cycle are at the level of 10-5 or less and, hence, have a negligible contribution to the irradiance variations. Title: Resonant Excitation of Nonradial Modes in RR Lyr Stars Authors: Nowakowski, R. M.; Dziembowski, W. A. Bibcode: 2001AcA....51....5N Altcode: 2001astro.ph..5141N We study a nonlinear development of radial pulsation instability to a resonant excitation of nonradial modes. Our theory covers the cases of axisymmetric (m=0) modes as well as (m,-m) pairs. Adopting a simplified treatment of the radial and nonradial mode coupling we find that the asymptotic state is a pulsation with constant amplitudes and we evaluate the relative amplitude of the nonradial component. Observable consequence of the m=0 mode excitation is a small period change and a more significant amplitude change, especially in the case of a dipole mode (l=1). Such a mode has a fairly large excitation probability. Significant amplitude and phase modulation is predicted in the case of excitation of a m=+/-1 pair. We suggest that this may explain Blazhko-type modulation in RRLyr stars. If this model is correct, the modulation period is determined by the rotation rate and the Brunt-Vaisala frequency in the deepest part of the radiative interior. Title: A model for pulsations in roAp stars Authors: Bigot, L.; Dziembowski, W. A. Bibcode: 2001ESASP.464..367B Altcode: 2001soho...10..367B The oblique pulsator model accounts for most of the pulsation properties of the rapidly oscillating Ap (roAp) stars. It also yields predictions for observables, from which constraints on the magnetic field may be derived. The observables are relative amplitudes within multiplets in frequency spectra corresponding to individual eigenmodes. Here we propose improvements of the oblique pulsator model which consist in including effects of centrifugal distortion of the star, and using a non-perturbative treatment of the magnetic field. Title: Petersen Diagram for RRd Stars in the Magellanic Clouds Authors: Popielski, B. L.; Dziembowski, W. A.; Cassisi, S. Bibcode: 2000AcA....50..491P Altcode: 2000astro.ph.11442P RRd stars from the Magellanic Clouds form a well-defined band in the Petersen diagram. We explain this observed band with our evolutionary and pulsation calculations with assumed metallicity [Fe/H]=(-2,-1.3). Vast majority of RRd stars from LMC is confined to a narrower range of (-1.7,-1.3). The width of the band, at specified fundamental mode period, may be explained by mass spread at given metallicity. The shape of the band reflects the path of RRd stars within the RR Lyr instability strip. We regard the success in explaining the Petersen diagram as a support for our evolutionary models, which yield mean absolute magnitude in the mid of the instability strip, <M_V>, in the range 0.4 to 0.65 mag implying distance modulus to the LMC of 18.4 mag. Title: Signatures of the Rise of Cycle 23 Authors: Dziembowski, W. A.; Goode, P. R.; Kosovichev, A. G.; Schou, J. Bibcode: 2000ApJ...537.1026D Altcode: During the rise of Cycle 23, we have found a sizable, systematic evolution of the Solar and Heliospheric Observatory/Michelson Doppler Imager solar oscillation frequencies implying significant changes in the spherically symmetric structure of the Sun's outer layers as well as in its asphericity up to a P18 Legendre distortion. We conducted a search for corresponding asymmetries in Ca II K data from Big Bear Solar Observatory. We found tight temporal and angular correlations of the respective asphericities up through P10. This result emphasizes the role of the magnetic field in producing the frequency changes. We carried out inversions of the frequency differences and the splitting coefficients assuming that the source of the evolving changes is a varying stochastic magnetic field. With respect to the most recent activity minimum, we detected a significant perturbation in the spherical part at a depth of 25-100 Mm, which may be interpreted as being a result of a magnetic perturbation, <B2>, of about (60KG)2 and/or a relative temperature perturbation of about 1.2×10-4. Larger, although less statistically significant, perturbations of the interior structure were found in the aspherical distortion. Title: Neutrinos and solar models. Authors: Dziembowski, W. A. Bibcode: 2000AcPPB..31.1389D Altcode: After summarizing principles of solar model construction and presenting an updated prediction for the neutrino counting rates, the author focusses this review on the question of reliability of current models. Methods and results of seismic sounding of the solar interior are presented in some detail. The results confirm the standard scenario of the solar evolution. This conclusion, combined with the evidences for neutrino oscillations, means the end of astrophysical aspect of the solar neutrino problem. The models of the Sun interior remain important for interpretation of the data from the neutrino detectors but the data cannot be used to contradict the models, not even to constrain them. Title: Non-axisymmetric oscillations of roAp stars Authors: Bigot, L.; Provost, J.; Berthomieu, G.; Dziembowski, W. A.; Goode, P. R. Bibcode: 2000A&A...356..218B Altcode: We calculate the effect of a strong dipole magnetic field on non-axisymmetric oscillations for roAp stars, with a typical range of photospheric magnetic fields B_p [0.5-1.5] kG. As Dziembowski & Goode (1996), we find that the oscillations are strongly affected by such magnetic fields in two different ways. The first one concerns the stability of modes, which are damped due to dissipation by Alfvénic waves. It leads to a small imaginary part of the frequency, about (1-15mu Hz). The real part of the frequencies is also affected and is greater in the presence of magnetic field, with a shift of about 1-20 mu Hz. We find that these shifts are strongly influenced by the geometry of the mode, i.e. the value of the degree l, as it has already been shown by Dziembowski & Goode (1996), and also by m, the azimuthal degree, with a significant amplitude. The magnetic field, because it breaks the spherical symmetry of the problem, raises partially the (2 l +1) degeneracy of frequency in m. We find that the shift of both the real and imaginary parts is always greater than in the case of axisymmetric oscillations (m=0), except for sectoral modes (l=m), for which the imaginary part is smaller. The second effect of large magnetic fields is to complicate the mode identification. The perturbations cannot be represented by pure single spherical harmonic, but by a series of harmonics due to the angular dependence of the Lorentz force. It is shown that this mixing of spherical harmonics also depends on the value of m. However, our calculations do not explain the observed selection of dipole modes in roAp stars, aligned with the magnetic axis, since they do not minimize energy losses due to Alfvénic waves. Title: Nonradial Modes in RR Lyrae Stars Authors: Dziembowski, W. A.; Cassisi, S. Bibcode: 2000ASPC..203..321D Altcode: 2000ilss.conf..321D; 2000IAUCo.176..321D No abstract at ADS Title: Rotational Splitting of δ Scuti Stars Authors: Goupil, M. -J.; Dziembowski, W. A.; Pamyatnykh, A. A.; Talon, S. Bibcode: 2000ASPC..210..267G Altcode: 2000dsrs.conf..267G No abstract at ADS Title: Commission 35: Stellar Constitution: (Constitution Des Etoiles) Authors: Zahn, J. -P.; VandenBerg, D.; Canal, R.; Chiosi, C.; Dziembowski, W.; Guzik, J.; Meynet, G.; Michaud, G.; Renzini, A.; Saio, H.; Tutukov, A.; Vauclair, G. Bibcode: 2000IAUTA..24..201Z Altcode: No abstract at ADS Title: The Petersen Diagram for RR Lyrae Stars in the Magellanic Clouds Authors: Popielski, B. L.; Dziembowski, W. A. Bibcode: 2000ASPC..203..276P Altcode: 2000IAUCo.176..276P; 2000ilss.conf..276P We show that the spread of the Magellanic Cloud RRd stars in the Petersen diagram may be explained in terms of spread in metallicity by one order of magnitude. Title: An Introduction to Helioseismology Authors: Christensen-Dalsgaard, J.; Däppen, W.; Dziembowski, W. A.; Guzik, J. A. Bibcode: 2000ASIC..544...59C Altcode: 2000vsea.conf...59C No abstract at ADS Title: Basic Aspects of Stellar Structure and Pulsation Authors: Christensen-Dalsgaard, J.; Dziembowski, W. A. Bibcode: 2000ASIC..544....1C Altcode: 2000vsea.conf....1C No abstract at ADS Title: Sounding the solar interior Authors: Dziembowski, W. A. Bibcode: 2000ASIC..558..245D Altcode: 2000asre.conf..245D Contents: Before helioseismology. A brief history of solar oscillation observations. Waves and modes in the solar model. Measuring solar oscillations. Probing the radial structure. Measuring the rotation rate in the Sun's interior. Time-distance helioseismology. Title: Excitation and visibility of high-degree modes in stars Authors: Balona, L. A.; Dziembowski, W. A. Bibcode: 1999MNRAS.309..221B Altcode: Observational evidence for excitation of non-radial modes in stars is confronted with the results of linear stability surveys for stellar models. We consider various types of pulsators on the upper main sequence as well as stars in the Cepheid strip. Our stability survey covers the whole range of spherical harmonic degrees, l, where instability is found. There is fair agreement between the theoretical instability strip and the location of ζ Oph stars, but the observed and calculated periods do not agree in some stars. We suggest that either pulsation is not responsible for the ζ Oph phenomenon or else there are serious errors in mode identification in these cases. We do not find instability at long periods for early B-type stars, supporting the idea that pulsation is not responsible for the periodic variations in Be stars. The agreement between the observed and calculated periods of high-degree modes in δ Sct stars is not very satisfactory. This is attributed to problems in mode identification. We discuss unstable modes of high degree in Cepheid models as a possible mechanism for the low-amplitude radial velocities seen in some stars within the instability strip. We find, however, that the observed periods are at least a factor of 2 longer than the calculated periods. Finally, we discuss the possibility of observing modes of high degree photometrically. We suggest that a large number of high-degree modes may become detectable by future space-borne photometric missions. The confusion arising from these modes may greatly reduce the value of such observations for asteroseismology. However, they will be very important in studying the mechanism of mode selection. Title: Nonradial Modes in RR LYR Stars Authors: Dziembowski, W. A.; Cassisi, S. Bibcode: 1999AcA....49..371D Altcode: 1999astro.ph..7414D We present a survey of nonradial mode properties in evolutionary sequences of RR Lyr star models. Attention is focused on the modes that may be driven by the opacity mechanism and on those that may be excited as a consequence of the 1:1 resonance with the radial pulsation. Qualitatively, all the models share the same properties of nonradial modes. At the quantitative level, the properties are to a large extent determined by the radial mode periods. There is only weak dependence on the star metallicity and no apparent dependence on the evolutionary status, that is on the helium exhaustion in the convective core. In the whole range of RRab and RRc star parameters we find unstable nonradial modes driven by the opacity mechanism. An instability of radial pulsation to a resonant excitation of nonradial oscillations is also a common phenomenon in both types. We discuss a possible role of nonradial modes in amplitude modulation observed in certain RR Lyr stars. Title: Solar Asphericities from BBSO Synoptic Data and MDI Splittings Authors: Goode, P. R.; Dziembowski, W. A.; Marquette, W. Bibcode: 1999AAS...194.4205G Altcode: 1999BAAS...31..882G Beneath the photosphere, on average the Sun is almost a perfect sphere. Historically, the main photospheric asymmetry studied has been the magnetic activity cycle as reflected in the Maunder butterfly diagram. In recent years, more subtle signatures of asymmetries varying with the solar cycle have been found. We have used temporal averages of BBSO synoptic maps from the activity minimum which has just ended to extract the low degree Legendre dependence of the data. We present preliminary comparisons of the degree of correlation between these Legendre coefficients varying through the solar cycle with the temporally corresponding low degree Legendre coefficents from MDI splitting data to enable us to garner another perspective, the role of the magnetic field in the Sun's cycle dependent asphericity. Title: Helioseismology and the solar age Authors: Dziembowski, W. A.; Fiorentini, G.; Ricci, B.; Sienkiewicz, R. Bibcode: 1999A&A...343..990D Altcode: 1998astro.ph..9361D The problem of measuring the solar age by means of helioseismology has been recently revisited by Guenther & Demarque (1997) and by Weiss & Schlattl (1998). Different best values for t_seis and different assessment of the uncertainty resulted from these two works. We show that depending on the way seismic data are used, one may obtain t_seis~ 4.6 Gy close to the age of the oldest meteorites, t_met=4.57 Gy, like in the first paper, or above 5 Gy like in the second paper. The discrepancy in the seismic estimates of the solar age may be eliminated by assuming higher than the standard metal abundance and/or an upward revision of the opacities in the solar radiative interior. We argue that the most accurate and robust seismic measure of the solar age are the small frequency separations, D_{l,n}=nu_ {l,n}-nu_ {l+2,n-1}, for spherical harmonic degrees l=0,2 and radial orders n>>l. The seismic age inferred by minimization of the sum of squared differences between the model and the solar small separations is t_seis=4.66+/-0.11 Gy, a number consistent with meteoritic data. Our analysis supports earlier suggestions of using small frequency separations as stellar age indicators. Title: Magnetic Effects on Stellar Oscillations Authors: Bigot, L.; Provost, J.; Berthomieu, G.; Dziembowski, W. A.; Goode, P. R. Bibcode: 1999RoAJ....9S.129B Altcode: We calculate the effect of a strong dipole magnetic field (0.5-1.5 kG) on stellar oscillations. To do this, we adopt a boundary layer approach, by taking into account the dynamical effect of the magnetic field only in a very thin layer, at the star surface. The magnetic field leads to a damping of oscillations due to Alfvénic wave losses of energy. It appears then an imaginary part of the frequency (~1-15 ?Hz) and a shift of the real part (~1-15 ?Hz). The mode identification is complicated: since the Lorentz force depends on the colatitude, one must represent the oscillations by a linear combination of. We tackled non-axisymmetric oscillations (m0) and then generalized the result of Dziembowski and Goode (1996). These magnetic effects strongly depend on the geometric nature of the mode (degree and azimuthal order m). We apply our calculatio ns to roAp stars, whose oscillations appear essentially as dipole modes ( = 1, m = 0) aligned with the magnetic axis. This work does not explain this geometrical preference, since it does not minimize Alfvénic losses of energy. However, it shows that one must take into account the magnetic field to identify modes in roAp stars. Title: Helioseismology, solar models and neutrino fluxes. Authors: Castellani, V.; Degl'Innocenti, S.; Dziembowski, W. A.; Fiorentini, G.; Ricci, B. Bibcode: 1999NuPhS..70..301C Altcode: 1997astro.ph.12174C The authors present results concerning a systematical analysis of helioseismic implications on solar structure and neutrino production. They find Yph = 0.238 - 0.259, Rb/Rsun = 0.708 - 0.714 and ρb = (0.185 - 0.199) gr/cm3. In the interval 0.2 < R/Rsun < 0.65, the quantity U = P/ρ is determined with an accuracy of ±5o/oo or better. At the solar center still one has remarkable accuracy, ΔU/U < 4%. The authors compare the predictions of recent solar models (standard and non-standard) with the helioseismic results. By constructing helioseismically constrained solar models, the central solar temperature is found to be T = 1.58×107K with a conservatively estimated accuracy of 1.4%, so that the major uncertainty on neutrino fluxes is due to nuclear cross section and not to solar inputs. Title: MDI Signs of the Rise of Cycle 23 Authors: Goode, P. R.; Dziembowski, W. A. Bibcode: 1999soho....9E..60G Altcode: We find sizeable, systematic changes in solar oscillation frequencies implying significant changes in the spherically symmetric structure of the Sun's outer layers, as well as in its asphericity through a P18 Legendre distortion. We conducted a search for corresponding asymmetries in Ca II K data from BBSO. We found tight temporal and angular correlations of the respective asphericities up through P10. This result emphasizes the direct role of the magnetic field in producing the frequency changes. We carried out inversions of the frequency differences and the splitting coefficients assuming that the source of the evolving changes is a varying stochastic magnetic field. With respect to the most recent activity minimum, we detected a significant perturbation in the spherical part at a depth of 25-100 Mm which may be interpreted as being due to magnetic field changes of about 40 KG and/or relative temperature perturbations of 6x105. Further, we found somewhat less significant evidence for a shallower, asymmetric perturbation. Title: Asteroseismology of the beta Cephei stars. II. 12 (DD) Lacertae Authors: Dziembowski, W. A.; Jerzykiewicz, M. Bibcode: 1999A&A...341..480D Altcode: Five pulsation modes are simultaneously excited in this well-known beta Cephei star. Three of them, including the one with the largest light and radial-velocity amplitudes, form a triplet. The triplet is equidistant in frequency to within the errors of measurement, that is, 0.0003 d(-1) . Explaining why the triplet should be so nearly equidistant turns out to be a real challenge to the theory. We investigate the following three options: (1) rotational splitting, (2) an oblique magnetic pulsator, and (3) nonlinear phase lock. Unfortunately, apart from the frequencies, the data are meager. Photometric indices yield the effective temperature and surface gravity of rather low accuracy. In addition, the existing determinations of the spherical harmonic degree of even the strongest observed mode are discrepant. Consequently, the model parameters are not well constrained. We show that of the three above-mentioned options, the oblique pulsator model is unlikely because it would require excessively strong dipolar field or a special field geometry. The rotational splitting is a possibility, but only for an l = 2, p_0 mode in a model with specific values of the effective temperature and surface gravity. Finally, we note that the nonlinear phase lock may be the solution. However, verifying this depends on the progress of nonlinear calculations. Title: Solar Cycle Onset Seen in SOHO Michelson Doppler Imager Seismic Data Authors: Dziembowski, W. A.; Goode, P. R.; di Mauro, M. P.; Kosovichev, A. G.; Schou, J. Bibcode: 1998ApJ...509..456D Altcode: We have analyzed time changes in centroid frequencies and multiplet frequency splittings of solar oscillations determined with the Michelson Doppler Imager instrument (MDI) on SOHO. The data were divided into five consecutive 72 day sets covering the period from 1996 May 1 through 1997 April 25. We have detected a significant trend in the a4 and a6 frequency splitting coefficients, which reflects a decrease in the P4 distortion (described by the fourth-degree Legendre polynomial of colatitude) and an increase in the P6 distortion. The rise of the latter distortion seems to coincide precisely with the rise in the number of new cycle sunspots. Such sharp and detailed clues to activity onset are new and do not exist in splitting data from the rising phase of the last cycle. The relative differences among the solar radii inferred from the f-mode frequencies from the five sets (at most 6 × 10-6 or 4 km) are formally significant, reaching a minimum during the observed period. Title: Effects of magnetic activity on solar-like oscillations Authors: Dziembowski, W. A.; Goupil, M. -J. Bibcode: 1998mons.proc...69D Altcode: In solar-like stars, faster rotation implies higher magnetic activity. We calculate p-mode oscillation spectra for stars rotating much faster than the Sun, taking into account perturbations caused the centrifugal force and by the magnetic field. The latter is described by scaling up the perturbations determined in the Sun at two activity stages. We argue that, in spite of disorderly looking oscillation spectra, we still should be able to recover information about the internal rotation. Measuring the magnetic perturbation is important for interpretation of the helioseismic variations in the solar cycle. Title: Oscillations in XX Pyx and FG VIR and the prospects for asteroseismology of delta Scuti stars from space Authors: Dziembowski, W. A.; Balona, L. A.; Goupil, M. -J.; Pamyatnykh, A. A. Bibcode: 1998mons.proc..127D Altcode: Analyses of the rich oscillation spectra obtained from these two delta Scuti stars using ground-based photometry reveal problems which are likely to be encountered in data from future space asteroseismic missions. The main difficulty is mode identification. It is unlikely that the richer spectra from space observations will alleviate this problem. Space observations of delta Scuti stars, however, are expected to increase our understanding of mode selection. This, in itself, justifies the inclusion of delta Scuti stars in the target list for future asteroseismic space missions. Title: On the accuracy of helioseismic determination of solar helium abundance Authors: Richard, O.; Dziembowski, W. A.; Sienkiewicz, R.; Goode, Philip R. Bibcode: 1998A&A...338..756R Altcode: The Helium abundance in the solar envelope is one of the most important seismic observables. We investigate the accuracy of its determination taking into account uncertainties in the data and in the inversion procedure. Our best value for the helium abundance in the photosphere is Ysun=0.248. The estimated uncertainty of 0.002 is dominated by uncertainties in the inversion. This does not account for possibly larger inaccuracies in the thermodynamical data. Title: Helioseismic Studies of Differential Rotation in the Solar Envelope by the Solar Oscillations Investigation Using the Michelson Doppler Imager Authors: Schou, J.; Antia, H. M.; Basu, S.; Bogart, R. S.; Bush, R. I.; Chitre, S. M.; Christensen-Dalsgaard, J.; Di Mauro, M. P.; Dziembowski, W. A.; Eff-Darwich, A.; Gough, D. O.; Haber, D. A.; Hoeksema, J. T.; Howe, R.; Korzennik, S. G.; Kosovichev, A. G.; Larsen, R. M.; Pijpers, F. P.; Scherrer, P. H.; Sekii, T.; Tarbell, T. D.; Title, A. M.; Thompson, M. J.; Toomre, J. Bibcode: 1998ApJ...505..390S Altcode: The splitting of the frequencies of the global resonant acoustic modes of the Sun by large-scale flows and rotation permits study of the variation of angular velocity Ω with both radius and latitude within the turbulent convection zone and the deeper radiative interior. The nearly uninterrupted Doppler imaging observations, provided by the Solar Oscillations Investigation (SOI) using the Michelson Doppler Imager (MDI) on the Solar and Heliospheric Observatory (SOHO) spacecraft positioned at the L1 Lagrangian point in continuous sunlight, yield oscillation power spectra with very high signal-to-noise ratios that allow frequency splittings to be determined with exceptional accuracy. This paper reports on joint helioseismic analyses of solar rotation in the convection zone and in the outer part of the radiative core. Inversions have been obtained for a medium-l mode set (involving modes of angular degree l extending to about 250) obtained from the first 144 day interval of SOI-MDI observations in 1996. Drawing inferences about the solar internal rotation from the splitting data is a subtle process. By applying more than one inversion technique to the data, we get some indication of what are the more robust and less robust features of our inversion solutions. Here we have used seven different inversion methods. To test the reliability and sensitivity of these methods, we have performed a set of controlled experiments utilizing artificial data. This gives us some confidence in the inferences we can draw from the real solar data. The inversions of SOI-MDI data have confirmed that the decrease of Ω with latitude seen at the surface extends with little radial variation through much of the convection zone, at the base of which is an adjustment layer, called the tachocline, leading to nearly uniform rotation deeper in the radiative interior. A prominent rotational shearing layer in which Ω increases just below the surface is discernible at low to mid latitudes. Using the new data, we have also been able to study the solar rotation closer to the poles than has been achieved in previous investigations. The data have revealed that the angular velocity is distinctly lower at high latitudes than the values previously extrapolated from measurements at lower latitudes based on surface Doppler observations and helioseismology. Furthermore, we have found some evidence near latitudes of 75° of a submerged polar jet which is rotating more rapidly than its immediate surroundings. Superposed on the relatively smooth latitudinal variation in Ω are alternating zonal bands of slightly faster and slower rotation, each extending some 10° to 15° in latitude. These relatively weak banded flows have been followed by inversion to a depth of about 5% of the solar radius and appear to coincide with the evolving pattern of ``torsional oscillations'' reported from earlier surface Doppler studies. Title: Observations of the solar interior. Authors: Dziembowski, W. Bibcode: 1998Urani..69..148D Altcode: No abstract at ADS Title: Unstable non-radial modes in radial pulsators: theory and an example Authors: Van Hoolst, T.; Dziembowski, W. A.; Kawaler, S. D. Bibcode: 1998MNRAS.297..536V Altcode: We study the possibility of the excitation of non-radial oscillations in classical pulsating stars. The stability of an RR Lyrae model is examined through non-adiabatic non-radial calculations. We also explore stability in the presence of non-linear coupling between radial and non-radial modes of nearly identical frequency. In our model, a large number of unstable low-degree (l=1,2) modes have frequencies in the vicinity of unstable radial mode frequencies. The growth rates of such modes, however, are considerably smaller than those of the radial modes. We also recover an earlier result that at higher degrees (l=6-12) there are modes trapped in the envelope with growth rates similar to those of radial modes. Subsequently, monomode radial pulsation of this model is considered. The destabilizing effect of the 1:1 resonance between the radial mode and nearby non-radial modes of low degrees is studied, with the assumption that the excited radial mode saturates the linear instability of all other modes. The instability depends on the radial mode amplitude, the frequency difference, the damping rate of the non-radial mode, and the strength of the non-linear coupling between the modes considered. At the pulsation amplitudes typical for RR Lyrae stars, the instability of the monomode radial pulsation and the concomitant resonant excitation of some non-radial oscillation modes is found to be very likely. Title: Effects of moderate rotation on stellar pulsation. I. Third order perturbation formalism Authors: Soufi, F.; Goupil, M. J.; Dziembowski, W. A. Bibcode: 1998A&A...334..911S Altcode: Interpretation of the available ground-based and forthcoming space observations of multiperiodic variable stars require accurate computations of oscillation frequencies. Typical rotational equatorial velocities of upper main sequence stars range between 50 and 200 km/s and the effect of rotation on the oscillation frequencies of these stars must be included. The rotation can still be considered as a perturbation, provided the expansion used in the perturbation method is carried out far enough to provide frequencies accurate enough to match that of the observations. For that purpose, we develop here a perturbation formalism for adiabatic oscillations of moderately rotating stars which is consistently valid up to third order in the rotation rate. The formalism includes the case of near-degeneracy i.e. when the frequencies of two (or three) oscillation modes happen to be close to each other. This occurs systematically for l=0 and l=2 p-modes. Near-degeneracy leads to spherical harmonic mixing and affects frequencies. Consequences for mode identification are discussed. Title: Shortcomings of the Standard Solar Model Authors: Dziembowski, W. A. Bibcode: 1998SSRv...85...37D Altcode: The SSM, invented in early nineteen sixties, remains a useful construction. There are now much larger number of its predictions that may be compared with observations than when it was first introduced. Seismic sounding based on oscillations frequencies provides the best test of the physical input for modelling stellar evolution. The results of the test must be viewed as a support for the standard theory of stellar evolution. However, significant differences in the sound-speed, photospheric He abundance, and other parameters between the Sun and the current models remain. Shortcomings in the EOS and in treatment of convection have been revealed. The differences in the sound-speed in the radiative interior may be explained by small opacity errors but other explanations are possible. Results of seismic sounding support the idea that the element mixing in the outer part of the radiative interior occurred during a significant fraction of the Sun's life. Such mixing is considered as a possible explanation of the deficit of lithium. The shortcomings of SSM cannot explain the deficits of measured neutrino fluxes. Title: Towards a seismic model of the delta Scuti star XX Pyxidis Authors: Pamyatnykh, A. A.; Dziembowski, W. A.; Handler, G.; Pikall, H. Bibcode: 1998A&A...333..141P Altcode: 1998astro.ph..1264P Frequencies of 13 oscillation modes in the star XX Pyxidis (CD-24 7599) are accurately measured but for none of the modes the spherical harmonic degree (l) is known. We present results of an attempt to construct the model whose low-l mode frequencies reproduce possibly close the observations. Models are constrained by the mean photometric and spectroscopic data for the star. However, the strongest constraint on the effective temperture is from the requirement that the modes excited in the star fall into the range of the modes driven by the opacity mechanism. Our models are built with the standard stellar evolution code allowing no overshooting from the convective core. Effects of rotation are taken into account both in stellar evolution and in linear nonadiabatic oscillation calculations. Uniform rotation rate and conservation of the global angular momentum during evolution are assumed. We find several distinct mode identifications and associated stellar models leading to frequency fits of similar quality. Determination of the l values for some of the modes could remove the ambiguity. None of the fits is satifactory: the mean departures exceed the mean observational frequency error by at least one order of magnitude. The fits could be improved by means of adjusting model parameters that were kept fixed. However, such effort will be meaningful only after improving accuracy in calculation of the effects of rotation in oscillation frequencies. Title: On Some Observational Consequences of Nonlinearities in Stellar Pulsations Authors: Goupil, M. J.; Dziembowski, W. A.; Fontaine, G. Bibcode: 1998BaltA...7...21G Altcode: 1998OAst....7...21G Numerical experiments, which take into account a resonant coupling due to rotation, provide synthetic power spectra for triplets of the l=1 modes split by rotation for two variable white dwarfs, GD 358 and G 29-38 and a beta Cephei star DD Lac. The coupling coefficients are unknown and are set arbitrarily. Nevertheless, the results show that conditions are easily met in white dwarfs for the existence of various types of temporal behavior similar to those observed. Triplets with constant amplitudes and nonlinearly forced equal splits can exist next to triplets with time dependent amplitudes and frequencies. It is found that mode trapping, through its effect on growth rates, can influence finite amplitude behavior. For the fast rotating star DD Lac, it is more difficult to obtain nonlinear equal splits, which may indicate that its resonant coupling coefficients are less nonadiabatic than in the case of white dwarfs. Title: Asteroseismology of the beta Cephei star 12(DD)Lacertae Authors: Dziembowski, W. A.; Jerzykiewicz, M. Bibcode: 1998IAUS..185..379D Altcode: Five pulsation modes have been detected in this well-known beta Cephei star. Three of them, including the strongest one, form an equidistant frequency triplet. We consider identifications of the observed pulsation frequencies with computed eigenfrequencies of low degree modes (l <= 2) in a series of stellar models covering the range of the effective temperature and surface gravity consistent with best available data. We show that the existing determinations of the degree of even the strongest observed mode are discrepant and therefore do little to constrain the problem. Finally, we discuss the difficulties posed by the observed equidistant frequency triplet. Title: Solar models: constraints from helioseismology and neutrino production Authors: degl'Innocenti, S.; Castellani, V.; Dziembowski, W. A.; Fiorentini, G.; Ricci, B. Bibcode: 1998MmSAI..69..539D Altcode: No abstract at ADS Title: Solar Asymmetries from SOHO/MDI Splitting Data Authors: Goode, P. R.; Dziembowski, W. A.; DiMauro, M. P.; Kosovichev, A. G.; Schou, J. Bibcode: 1998ESASP.418..887G Altcode: 1998soho....6..887G No abstract at ADS Title: Differential rotation of the solar interior: new helioseismic results by inversion of the SOI-MDI/SOHO data Authors: Di Mauro, M. P.; Dziembowski, W. A. Bibcode: 1998MmSAI..69..559D Altcode: No abstract at ADS Title: Nonradial Mode Instability in Static and Radially Pulsating Models of RR Lyrae Stars Authors: Van Hoolst, T.; Dziembowski, W. A.; Kawaler, S. D. Bibcode: 1998ASPC..135..232V Altcode: 1998hcsp.conf..232V Anomalous behaviours such as amplitude modulation or two mode excitation among classical pulsating stars remains unexplained. The possible role of nonradial mode excitation has already been suggested (Kovacs 1993, Van Hoolst & Waelkens 1995) but no calculations for realistic models have been done. As a first step toward clarifying the problem, we investigate linear nonadiabatic properties of nonradial modes in centrally condensed stars. We begin with an outline of the method of calculation of the nonadiabatic oscillations in full and realistic models of such stars. The method is then applied to a static model which corresponds to a RR Lyrae star in the mid of the instability strip. We find a large number of unstable low degree modes in the vicinity of unstable radial modes. The growth rates of such modes, however, are considerably lower than those of the radial. We also recover an old result (Dziembowski 1977, Osaki 1977) that at higher degrees there are modes trapped in the envelope with growth rates similar to that of radial modes. Subsequently, we consider monomode radial pulsation of this model. We assume that the excited mode saturates the linear instability of all modes and we study the destabilizing effect of the 1:1 resonance between the radial mode and nearby nonradial modes of low degrees. The instability depends on the radial mode amplitude, the frequency difference, and the damping rate of the nonradial mode. We find that at the pulsation amplitudes typical for RR Lyrae stars the resonant excitation of some nonradial oscillation is almost certain and that the excitation of the l=1 mode is most likely. References: Dziembowski, W.D., 1977, Acta Astron. 27, 95 Kovacs, G., 1993, in: Annals of the New York Academy of Sciences, eds.: J.R. Buchler and H.E. Kanrup, p.70 Osaki, Y., 1977, Publ. Astron. Soc. Japan 29, 235 Van Hoolst, T, Waelkens, C, 1995, Astron. Astrophys. 295, 361 Title: Rotation of the Solar Interior: New Results by Helioseismic Data Inversions Authors: Di Mauro, M. P.; Dziembowski, W. A.; Paternó, L. Bibcode: 1998ESASP.418..759D Altcode: 1998soho....6..759D We determine the variation of the Sun's angular velocity with latitude and radius by means of an helioseismic inversion of more than 30,000 of p-mode splitting coefficients. These data were obtained from the first set of uninterrupted Doppler images from SOI-MDI (on board of the SOHO satellite) in 1996, which yield splittings of great accuracy, never obtained in previous sets of data. The degree ell ranges from 1 to 250, and the frequency from 954 μ Hz to 4556 μ Hz. In order to invert the data, we used the localized averaging kernel method (Backus & Gilbert 1970) in the form as derived by Pijpers and Thompson (1992), known as SOLA (Subtractive Optimally Localized Averaging) in 1.5 dimensions. It means that the 2-dimensional inverse problem has been decomposed into series of 1-dimensional SOLA independent inversions in the radial direction. This has allowed us to probe rotation in the convection zone and the outer part of the radiative core, and obtain more reliable results closer to the poles (Schou et al. 1998). We are also able to study rotational details in the shear layer (tachocline) located near the base of the convection zone and determine the behaviour of the angular velocity in the solar core. Unfortunately, the data uncertainties for low ell degrees result in a rotational profile in the deepest layers of low significance. In order to infer accurately the rotation of the deep interior, we also invert some sets of data with more accurate splittings of the lowest degree modes (ell ~1-4). Currently, the best data sets for this purpose still come from groundbased instruments such as LOWL, BISON and IRIS (Tomczyk et al. 1995; Elsworth et al. 1994; Lazreck et al. 1996). However these inversions give conflicting results in the core. Solution of this problem may await the accurate low-ell data from the GOLF instrument on SOHO. Title: Spherical and aspherical structure of the sun: First year of SOHO/MDI observations Authors: Kosovichev, A. G.; Schou, J.; Scherrer, P. H.; Goode, P. H.; Dziembowski, W. A.; Rhodes, E. J., Jr.; SOI Structure Inversion Team Bibcode: 1998IAUS..185..157K Altcode: We report the results of one year of continuous observations of the Sun's internal structure using data from the Medium-l Program of the Michelson Doppler Imager (MDI) on board SOHO. The data provide continuous coverage of p modes of angular degree l from 0 to 250, and the f mode from l=100 to 250. The striking stability of solar Dopplergrams measured by MDI, without an intervening atmosphere, substantially decreases the noise in the solar oscillations power spectrum compared with ground-based observations. This permits detection of lower amplitude oscillations, extending the range and precision of measured normal mode frequencies. We present new inversion results for the radial and latitudinal seismic solar structures with particular attention to zonal asphericity inferred with the high angular resolution from the data. Using f-mode frequency splitting we estimate the large-scale structure of the subsurface magnetic fields. The variations of the solar structure observed during the first year of MDI observations are also discussed. Title: B star pulsation - theory and seismological prospects Authors: Dziembowski, W. A. Bibcode: 1998IAUS..185..355D Altcode: Two distinct types of oscillations are encountered among Main Sequence B stars. In beta Cep stars, occurring in the B0 - B2 range and varying with periods of few hours, the excited modes are p- and/or g-modes of low radial degrees. In SPB stars, which occur in the B4-B8 range, high-order g-modes having periods from one to four days are excited. All these stars owe their oscillations to the opacity driving mechanism acting in the metal-opacity-bump zone. We understand how the detected modes are excited but we do not understand yet the large diversity in the form of their pulsation. For that an essential progress in the nonlinear theory and modeling of multimodal oscillations is needed. The modes excited in these stars probe deep stellar interior and therefore they are of potential interest for testing theory of stellar evolution and rotation. However, attempts made to construct models for two multiperiodic beta Cep revealed primarily problems that must be solved before this application could be implemented. An easier, though still not fully unexplored, application of this type of stars is probing ages and metal abundances of the host stellar systems. Title: Solar Asymmetries from SOHO/MDI Splitting Data Authors: Dziembowski, W. A.; Goode, P. R.; Di Mauro, M. P.; Kosovichev, A. G.; Schou, J. Bibcode: 1998ESASP.418..887D Altcode: 1998soho....6..887D Systematic changes in p-mode frequencies through the solar cycle have been discovered during the previous high activity phase. Most significant changes were found in the even-a coefficients of the fine structure in the oscillation spectra (Kuhn, 1988; and Libbrecht and Woodard, 1990). We analyzed time changes in frequencies determined with the SOHO/MDI instrument. The data were divided into five 72-day sets covering (1) 5/1/96-7/11/96, (2) 7/12/96-9/21/96, (3) 9/22/96-12/2/96, (4) 12/3/96-2/12/97, and (5) 2/13/97-4/25/97. The splitting coefficients ak are defined by nuvlosell,n,m-bar nuell,n = sum{k = 1} ak {cal P}kell(m), where {cal P} are are orthogonal polynomials (see Ritzwoller and Lavely 1991 and Schou, et al. 1994). We analyzed behavior of the even order coefficients, a2k, which arise from the respective, P2k (cos θ), distortion of the Sun's structure. We found a significant trend in behavior of the a4 and a6 coefficients, which reflects a decrease of the P4 and an increase of the P6 distortions. This trend is the same as seen in the BBSO data (Libbrecht and Woodard, 1990) between 1986 and 1988 i.e. at the onset of the previous activity phase. The trend in a2 is not so apparent. The centroid frequencies, bar nuell,n, as already reported by Kosovichev et al. (1998), exhibit small nonmonotonic variations. The relative differences in solar radius inferred from the f-mode frequencies in the five sets (at most 5 times 10-6) are formally significant, but again there is no trend. Title: Precise Determination of the Solar Helium Abundance by Helioseismology Authors: Richard, O.; Dziembowski, W. A.; Sienkiewicz, R.; Goode, Philip R. Bibcode: 1998ESASP.418..517R Altcode: 1998soho....6..517R Helium abundance in the solar envelope is one of the most important seismic observables. We investigate the accuracy of its determination taking into account uncertainties in data and in the inversion procedure. Our best value for the helium abundance in the photosphere is Yodot = 0.248. The estimated uncertainty of 0.002 is dominated by uncertainties in the inversion. This does not account for possibly larger inaccuracies in thermodynamical data. Title: Observations Versus Theory: The Delta Scuti Star CD-24 7599 Authors: Pikall, H.; Handler, G.; Pamyatnykh, A. A.; Dziembowski, W. Bibcode: 1998ASPC..135..486P Altcode: 1998hcsp.conf..486P This newly discovered d Scuti star shows 13 frequncies, for which no idenification of the harmonic degrees are available. Spectroscopy was done, but is only accurate enough for deriving (v sin i). The model parameters were constrained from ubvy photometry. We show that stability consideration as well as patterns in the periodogram are useful for further constraining the parameters. An attempt has been made to accurately reproduce the measured frequencies with the model ones considering various mode identifications. A moderate success has been achieved. To reproduce observed frequencies at the level of 10-3, we need to postulate that at least 2 of the excited modes have l greater than 2. Title: Shortcomings of the Standard Solar Model Authors: Dziembowski, W. A. Bibcode: 1998sce..conf...37D Altcode: No abstract at ADS Title: Helio- and Asteroseismology Authors: Dziembowski, W. A. Bibcode: 1998ASPC..135..427D Altcode: 1998hcsp.conf..427D I will review the history of using the data on Sun and other star oscillations to answer unsolved problems of stellar structure theory. This will not only be a succes story. I will also identify problems that have prevented a wider application of stellar seismology. Title: Determination of the Sun's Seismic Radius from the SOHO Michelson Doppler Imager Authors: Schou, J.; Kosovichev, A. G.; Goode, P. R.; Dziembowski, W. A. Bibcode: 1997ApJ...489L.197S Altcode: Dopplergrams from the Michelson Doppler Imager (MDI) instrument on board the SOHO spacecraft have been used to accurately measure frequencies of the Sun's fundamental (f) mode in the medium angular degree range, l = 88--250. The comparison of these frequencies with the corresponding frequencies of the standard solar models suggests that the apparent photospheric solar radius (695.99 Mm) used to calibrate the models should be reduced by approximately 0.3 Mm. The precise value of the seismologically determined solar radius depends on the description of the subsurface layer of superadiabatic convection. The discrepancy between the "seismic" and apparent photospheric radii is not explained by the known systematic errors in the helioseismic and photospheric measurements. If confirmed, this discrepancy represents an interesting new challenge to theories of solar convection and solar modeling. Title: Helioseismic measure of solar activity-meaning and applications. Authors: Dziembowski, W. A.; Philip, R. Goode; Schou, J.; Tomczyk, Steve Bibcode: 1997A&A...323..231D Altcode: We analyze the antisymmetric part of the fine structure in the LOWL data, and find a remarkable agreement with the BBSO data taken during the 1986 activity minimum. For both, the P_4_(cosθ) component of the Sun's asphericity is dominant. We discuss the importance of measuring this part of the fine structure as a global probe of the Sun's varying magnetic activity. The asphericity affects oscillation frequencies in a way that corrupts any inversion for the radial structure of the deep solar interior. The results of inversion of the original and cleansed data show that at the current minimal level of solar activity, the effect is within the errors. However, this is not true in the case of measurements taken in years of high activity. We mimic such measurements by adding in appropriate frequency shifts evaluated from 1989 BBSO data. Title: The structure of the instability strip and mode identification for beta CEP stars in three young open clusters Authors: Balona, L. A.; Dziembowski, W. A.; Pamyatnykh, A. Bibcode: 1997MNRAS.289...25B Altcode: We use a grid of stellar models to calculate isochrones. These are used to determine the ages of NGC 3293, NGC 4755 and NGC 6231. Using a non-adiabatic pulsation code, we compute the instability strip for beta Cep variables. We find that there is a correlation between the frequencies of the excited modes and the mass for stars of a given age. A calibration is presented which allows age determination of beta Cep stars in clusters with greater accuracy than isochrone fitting. The strong dependence of the frequency-mass relationship on age explains the temperature difference between the instability strips in NGC 3293 and NGC 4755. The second part of the paper examines the question of mode identification for beta Cep stars in NGC 3293 and NGC 4755. We present new uvby observations for these stars and use the dependence of the amplitude on wavelength to estimate the modes. We are able to isolate a few radial pulsators in the two clusters and to deduce their masses, effective temperatures and luminosities. Title: Helioseismology and standard solar models Authors: Degl'Innoccenti, S.; Dziembowski, W. A.; Fiorentini, G.; Ricci, B. Bibcode: 1997APh.....7...77D Altcode: 1996astro.ph.12053D We present a systematical analysis of uncertainties in the helioseismological determination of quantities characterizing the solar structure. We discuss the effect of errors on the measured frequencies, the residual solar model dependence and the uncertainties of the inversion method. We find Y ph = 0.238 - 0.259, R b/R = 0.708 - 0.714 and ϱb = (0.185 - 0.199) gr/cm 3 (the index b refers to the bottom of the convective envelope). In the interval 0.2 < R/R < 0.65 , the quantity U = P/ϱ is determined with and accuracy of ±5‰ or better. The predictions of a few recent solar model calculations are compared with helioseismological results. Title: New Whole Earth Telescope observations of CD-24 7599: steps towards delta Scuti star seismology Authors: Handler, G.; Pikall, H.; O'Donoghue, D.; Buckley, D. A. H.; Vauclair, G.; Chevreton, M.; Giovannini, O.; Kepler, S. O.; Goode, P. R.; Provencal, J. L.; Wood, M. A.; Clemens, J. C.; O'Brien, M. S.; Nather, R. E.; Winget, D. E.; Kleinman, S. J.; Kanaan, A.; Watson, T. K.; Nitta, A.; Montgomery, M. H.; Klumpe, E. W.; Bradley, P. A.; Sullivan, D. J.; Wu, K.; Marar, T. M. K.; Seetha, S.; Ashoka, B. N.; Mahra, H. S.; Bhat, B. C.; Babu, V. C.; Leibowitz, E. M.; Hemar, S.; Ibbetson, P. A.; Mashal, E.; Meistas, E. G.; Dziembowski, W. A.; Pamyatnykh, A. A.; Moskalik, P.; Zola, S.; Pajdosz, G.; Krzesinski, J.; Solheim, J. E.; Bard, S.; Massacand, C. M.; Breger, M.; Gelbmann, M. J.; Paunzen, E.; North, P. Bibcode: 1997MNRAS.286..303H Altcode: 92h of new Whole Earth Telescope observations have been acquired for the delta Scuti star CD-24 7599. All the seven pulsation modes reported by Handler et al. are confirmed. However, significant amplitude variations which are not caused by beating of closely spaced frequencies occurred within two years. Analysing the combined data of both WET runs, we detect six further pulsation modes, bringing the total number up to 13. We also examine our data for high-frequency pulsations similar to those exhibited by rapidly oscillating Ap stars, but we do not find convincing evidence for variability in this frequency domain. From new colour photometry and spectroscopy we infer that CD-24 7599 is a hot main-sequence delta Scuti star with approximately solar metallicity and vsini=52& plusmn2kms^-1. We cannot yet propose a definite pulsation mode identification, but we report the detection of a characteristic frequency spacing between the different modes. We ascribe it to the simultaneous presence of l=1 and l=2 modes of consecutive radial order. A comparison of this frequency spacing with frequencies of solar-metallicity models, as well as stability analysis, allows us to constrain tightly the evolutionary state of CD-24 7599. It is in the first half of its main-sequence evolution, and has a mass of 1.85 +/-0.05 M_solar and a mean density of rho^-=0.246+/-0.020rho^-_solar. This yields a seismological distance of 650 +/- 70 pc, which is as accurate as distance determinations for delta Scuti stars observed in clusters. Most of the pulsation modes are pure p modes of radial order k=4-6, but the g_1 mode of l=2 is likely to be excited and observed as well. Since a significant contribution to this mode's kinetic energy comes from the outer part of the convective core, CD-24 7599 becomes particularly interesting for testing convective overshooting theories. Title: Helioseismic constraints to the central solar temperature and neutrino fluxes Authors: Ricci, B.; Berezinsky, V.; degl'Innocenti, S.; Dziembowski, W. A.; Fiorentini, G. Bibcode: 1997PhLB..407..155R Altcode: 1997astro.ph..5164R The central solar temperature T and its uncertainties are calculated in helioseismologically-constrained solar models. From the best fit to the convective radius, density at the convective radius and seismically determined helium abundance the central temperature is found to be T = 1.58 × 107 K, in excellent agreement with Standard Solar Models. Conservatively, we estimate that the accuracy of this determination is ΔT/T = 1.4%, better than that in SSM. Neutrino fluxes are calculated. The lower limit to the boron neutrino flux, obtained with maximum reduction factors from all sources of uncertainties, is 2σ higher than the flux measured recently by SuperKamiokande. Title: Seismic sounding of the solar core: purging the corruption from the Sun's magnetic activity. Authors: Dziembowski, W. A.; Goode, P. R. Bibcode: 1997A&A...317..919D Altcode: Probing the structure and rotation of the solar core is one of the greatest challenges to helioseismology. We show that the seismic information in the observed low degree solar oscillations which probe the core is severely contaminated. This contamination arises from the Sun's near surface magnetic activity. The effect on the oscillation frequencies varies with the solar cycle-vanishing at solar minimum and growing with increasing surface activity. We demonstrate that this contamination can be quantified and removed after determining the fine structure of the entire oscillation spectrum. Title: Sounding stellar interiors Authors: Dziembowski, W. Bibcode: 1997IAUS..181..317D Altcode: No abstract at ADS Title: New solar models including helioseismological constraints and light-element depletion. Authors: Richard, O.; Vauclair, S.; Charbonnel, C.; Dziembowski, W. A. Bibcode: 1996A&A...312.1000R Altcode: 1996astro.ph..1136R We have computed new solar models using the same stellar evolution code as described in Charbonnel, Vauclair and Zahn (1992). This code, originating from Geneva, now includes the computation of element segregation for helium and 12 heavier isotopes. It may also include any type of mixing of the stellar gas, provided this mixing can be parametrized with an effective diffusion coefficient as a function of radius. Here we introduced rotation-induced mixing as prescribed by Zahn (1992). We present five solar models: 1) the standard model, computed with heavy element abundances as given by Grevesse (1991); 2) a model including pure element segregation (no mixing outside the convective zone) with Grevesse (1991) as initial abundances; 3) same model as (2), but iterated so that the final abundances are those of Grevesse (1991); 4) a model with both element segregation and rotation-induced mixing, leading to lithium and beryllium depletion consistent with the observations, with Grevesse (1991) as initial abundances; 5) same model as (4) but iterated to obtain Grevesse (1991) as final abundances. This model (5) now represents our best new solar model consistent with the observations. The u=P/ρ function computed as a function of radius in these new solar models are compared to the helioseismological results obtained for the same function by Dziembowski et al (1994). Improving the physics of the models leads to a better consistency with helioseismology. In our best model (5), which includes both segregation and mixing, the relative difference in the u function between the model and the helioseismological results is smaller than 0.5 per cent at all radii except at the center and the surface. Meanwhile lithium is depleted by a factor 155 and beryllium by a factor 2.9, which is consistent with the observations. The bottom of the convective zone lies at a fractional radius of 0.716, consistent with helioseismology. The neutrino fluxes are not decreased in any of these models. The models including the computations of element segregation lead to a present surface helium abundance of: Y_surf_ between 0.248 and 0.258, which is in satisfactory agreement with the value derived from helioseismology. Title: Seismic probing of the solar core Authors: Dziembowski, W. A. Bibcode: 1996BASI...24..133D Altcode: No abstract at ADS Title: The Current State of Solar Modeling Authors: Christensen-Dalsgaard, J.; Dappen, W.; Ajukov, S. V.; Anderson, E. R.; Antia, H. M.; Basu, S.; Baturin, V. A.; Berthomieu, G.; Chaboyer, B.; Chitre, S. M.; Cox, A. N.; Demarque, P.; Donatowicz, J.; Dziembowski, W. A.; Gabriel, M.; Gough, D. O.; Guenther, D. B.; Guzik, J. A.; Harvey, J. W.; Hill, F.; Houdek, G.; Iglesias, C. A.; Kosovichev, A. G.; Leibacher, J. W.; Morel, P.; Proffitt, C. R.; Provost, J.; Reiter, J.; Rhodes, E. J., Jr.; Rogers, F. J.; Roxburgh, I. W.; Thompson, M. J.; Ulrich, R. K. Bibcode: 1996Sci...272.1286C Altcode: Data from the Global Oscillation Network Group (GONG) project and other helioseismic experiments provide a test for models of stellar interiors and for the thermodynamic and radiative properties, on which the models depend, of matter under the extreme conditions found in the sun. Current models are in agreement with the helioseismic inferences, which suggests, for example, that the disagreement between the predicted and observed fluxes of neutrinos from the sun is not caused by errors in the models. However, the GONG data reveal subtle errors in the models, such as an excess in sound speed just beneath the convection zone. These discrepancies indicate effects that have so far not been correctly accounted for; for example, it is plausible that the sound-speed differences reflect weak mixing in stellar interiors, of potential importance to the overall evolution of stars and ultimately to estimates of the age of the galaxy based on stellar evolution calculations. Title: The Seismic Structure of the Sun Authors: Gough, D. O.; Kosovichev, A. G.; Toomre, J.; Anderson, E.; Antia, H. M.; Basu, S.; Chaboyer, B.; Chitre, S. M.; Christensen-Dalsgaard, J.; Dziembowski, W. A.; Eff-Darwich, A.; Elliott, J. R.; Giles, P. M.; Goode, P. R.; Guzik, J. A.; Harvey, J. W.; Hill, F.; Leibacher, J. W.; Monteiro, M. J. P. F. G.; Richard, O.; Sekii, T.; Shibahashi, H.; Takata, M.; Thompson, M. J.; Vauclair, S.; Vorontsov, S. V. Bibcode: 1996Sci...272.1296G Altcode: Global Oscillation Network Group data reveal that the internal structure of the sun can be well represented by a calibrated standard model. However, immediately beneath the convection zone and at the edge of the energy-generating core, the sound-speed variation is somewhat smoother in the sun than it is in the model. This could be a consequence of chemical inhomogeneity that is too severe in the model, perhaps owing to inaccurate modeling of gravitational settling or to neglected macroscopic motion that may be present in the sun. Accurate knowledge of the sun's structure enables inferences to be made about the physics that controls the sun; for example, through the opacity, the equation of state, or wave motion. Those inferences can then be used elsewhere in astrophysics. Title: A Theoretical Analysis of Pulsation Driving in PG 1159 Stars Authors: Bradley, P. A.; Dziembowski, W. A. Bibcode: 1996ApJ...462..376B Altcode: Our understanding of stars of the PG 1159 spectral type is not yet satisfactory, in spite of the recent success of asteroseismology. Kawaler and coworkers match the observed pulsation frequencies of PG 1159-035 and PG 2131+066 quite well with evolutionary models, but they fail to identify the mechanism exciting their pulsations. Stanghellini, Cox, & Starrfield show that the classical Κ, γ mechanism acting in the C/O partial ionization zone can excite certain g-modes but requires compositions that seem unrealistic. Here we study the impact of the new OPAL opacities on the conditions required to drive the modes observed in the PG 1159 spectral class stars. To this end, we present the nonadiabatic pulsation results of a parametric survey of quasi-evolutionary models of PG 1159 pre-white dwarfs. We examine the effect of varying the chemical composition of the driving region, the stellar radius, and stellar mass on the location of the instability strip and the maximum unstable period. Changes in the oxygen mass fraction of the driving region and the stellar radius have a strong effect on the predicted spectrum of unstable modes.

We do not find unstable modes with periods longer than 150 s unless the driving region, located near 10-9 M*, has at least 50% oxygen. The maximum unstable period increases by factors of 2-3 when we increase the radius of our models by 40%-50%. Decreasing the stellar mass also increases the radius, and the maximum unstable period increases from ∼300-400 s at 0.65 Msun to ∼800 s at 0.50 Msun for models with 50:50 C/O cores. Based on these results, we suggest that no pulsating PG 1159 star has a driving region with photospheric abundances; rather they are probably oxygen-rich. In addition, we believe PG 1159-035 and PG 1707+427 probably have larger radii than the seismological models of Kawaler & Bradley predict, because our evolutionary models with pure oxygen cores fail to predict unstable modes with periods up to the ∼1000 s we observe. Models with larger radii also have rates of period change closer to that observed for the 516 5 mode of PG 1159-035. In contrast, our present 50:50 C/O evolutionary models are able to duplicate the observed maximum unstable periods of the two coolest pulsating PG 1159 stars, PG 2131+066 and PG 0122+200. This suggests that the last two stars have radii close to that predicted by our models, and that their driving regions are less oxygen-rich than in the hotter pulsating PG 1159 stars. Title: GONG Data: Implications for the Sun's Interior and Near Surface Magnetic Field Authors: Goode, P. R.; Dziembowski, W. A.; Rhodes, E. J., Jr.; Tomczyk, S.; Schou, J.; GONG Magnetic Effects Team Bibcode: 1996AAS...188.5307G Altcode: 1996BAAS...28..904G The solar oscillation spectrum and the fine structure in it from the first complete month of GONG data have been used to place a limit on the Sun's internal magnetic field. The limit is consistent with the magnetic pressure being no more than 1/1000 of the gas pressure between the Sun's deep interior and its surface. This conclusion is consistent with earlier results. The GONG data are from a time near magnetic activity minimum. The effect of the near surface magnetic field on the fine structure in the oscillation spectrum reflects a perturbation of quadrupole toroidal symmetry. This geometry also dominated at the last activity minimum. The meaning of this result is discussed. The near surface magnetic perturbation is not spherically symmetric. This corrupts the results of inversions designed to probe the Sun's deep interior. The solution to this problem is presented. Title: Magnetic Effects on Oscillations in roAp Stars Authors: Dziembowski, W. A.; Goode, Phillip R. Bibcode: 1996ApJ...458..338D Altcode: We calculate the effect of a simple dipole magnetic field on high-order p-mode oscillations. The stellar models, oscillation modes, and range of field intensity were selected to correspond to the data on roAp stars. We did not account for the field in the static models. Some of the modes we calculate exhibit a strong driving due to the κ-mechanism acting in the hydrogen ionization zone. This driving is only somewhat smaller than the radiative damping occurring beneath. We argue that the situation is likely to reverse after needed improvements are made in model calculations.

The effect of the field is very significant. At KG photospheric intensity, the mode frequencies are shifted by about 10-20 μHz from their nonmagnetic values. Such shifts are comparable to the small separations. Damping rates due to Alfvénic wave losses are in the 2-10 μHz range and are comparable to nonadiabatic damping rates.

Surface amplitudes significantly depart from pure, single spherical harmonic dependence, which severely complicates mode identification and observational determination of large separations. Thus, taking into account the effects of the magnetic field is a prerequisite to any meaningful roAp star asteroseismology and to understanding mode selection in these objects. Title: Asteroseismology of the β Cephei stars. I. 16 (EN) Lacertae Authors: Dziembowski, W. A.; Jerzykiewicz, M. Bibcode: 1996A&A...306..436D Altcode: 16 (EN) Lacertae is a single-lined spectroscopic binary and an eclipsing variable. It consists of the well-known β Cephei star and an invisible secondary. Four pulsation modes, including a radial one, are found to be simultaneously present in the β Cephei primary. We consider all possible identifications of the observed pulsation frequencies with the computed ones for low-degree modes (l<=2) in a series of stellar models covering the range of T_eff_ and mean density consistent with the best available data. Only models allowing no overshooting are taken into account and with this restriction the conclusion that the rotation rate increases inward is unavoidable. There are ambiguities in the identification of the modes. We recommend observations that should enable a unique identification and, as a result, yield precise model parameters and better constraints on the differential rotation. Title: Can we measure the rotation rate inside stars ? Authors: Goupil, M. -J.; Dziembowski, W. A.; Goode, P. R.; Michel, E. Bibcode: 1996A&A...305..487G Altcode: We examine the possibility of obtaining localized information on the rotation rate inside stars through asteroseismic observations from space. Attention is focused on δ Scuti stars where both opacity-driven and solar-like turbulence-driven modes may be detected. Plausible sets of modes with attendant rotational splitting data are deduced from the results of linear stability calculations, effects of amplitude averaging for modes with higher l's, and information gathered from ground-based photometry. For such sets of modes, optimally localized averaging kernels are constructed, and we show that fairly detailed information about the behavior of the rotation rate can be obtained only if opacity-driven modes like those anticipated are indeed detected. The turbulence-driven modes are essentially irrelevant for probing rotation. Title: Updated Seismic Solar Model Authors: Dziembowski, W. A.; Goode, Philip R.; Pamyatnykh, A. A.; Sienkiewicz, R. Bibcode: 1995ApJ...445..509D Altcode: Recently released low-l solar oscillation data from the BISON network are combined with BBSO data to obtain an updated solar seismic model of the Sun's interior. For the core, the solar seismic model from the new data is more consistent with the current standard solar models than our earlier seismic model. An astrophysical solution to the solar neutrino problem fades away. Title: The δ Scuti star FG Virginis. I. Multiple pulsation frequencies determined with a combined DSN/WET campaign. Authors: Breger, M.; Handler, G.; Nather, R. E.; Winget, D. E.; Kleinman, S. J.; Sullivan, D. J.; Li, Z. -P.; Solheim, J. E.; Jiang, S. -Y.; Liu, Z. -L.; Wood, M. A.; Watson, T. K.; Dziembowski, W. A.; Serkowitsch, E.; Mendelson, H.; Clemens, J. C.; Krzesinski, J.; Pajdosz, G. Bibcode: 1995A&A...297..473B Altcode: A coordinated photometric campaign of FG Vir at nine observatories covering 170 hours was undertaken by DSN (Delta Scuti Network) and WET (Whole Earth Telescope). Two different observing techniques were adopted for the two telescope networks in order to optimize different frequency ranges. Ten pulsation frequencies between 9.19 and 34.12c/d (112 and 395μHz) were detected with amplitudes ranging from 0.8 to 22mmag. Pulsational instability is observed only in specific frequency regions. Additional frequencies of pulsation within these regions probably exist, but do not reach the significance criterion of amplitude signal/noise adopted by us. Comparisons with previously obtained data show that the amplitudes of the main frequencies are stable over a year or longer. A preliminary identification of the ten dominant frequencies is proposed in a stellar model with 1.8Msun_ in advanced main-sequence phase of evolution. The frequencies correspond to low order p and g modes with l<=2 and radial order 1 to 6. According to the linear nonadiabatic calculations, the identified modes are driven by the opacity mechanism along with many other modes. For asteroseismology of δ Scuti stars, FG Vir is an extremely important candidate, especially because of the probable presence of g modes. Title: Asteroseismology of the Beta Cephei Variable 16 (EN) Lacertae Authors: Dziembowski, W. A.; Jerzykiewicz, M. Bibcode: 1995ASPC...83..289D Altcode: 1995IAUCo.155..289D; 1995aasp.conf..289D No abstract at ADS Title: Pulsation in Hot Stars Authors: Dziembowski, W. A. Bibcode: 1995ASPC...78..275D Altcode: 1995aapn.conf..275D No abstract at ADS Title: Uncertainties in the Position of the Beta Cephei Instability Strip in the HR Diagram Authors: Pamyatnykh, A. A.; Dziembowski, W. A.; Moskalik, P. Bibcode: 1995ASPC...83..291P Altcode: 1995IAUCo.155..291P; 1995aasp.conf..291P No abstract at ADS Title: Consequences of Rapid Rotation on Mode Identification Authors: Soufi, F.; Goupil, M. J.; Dziembowski, W. A.; Sienkiewicz, H. Bibcode: 1995ASPC...83..321S Altcode: 1995IAUCo.155..321S; 1995aasp.conf..321S No abstract at ADS Title: Seismic Solar Model Authors: Dziembowski, W. A.; Goode, P. R.; Pamyatnykh, A. A.; Sienkiewicz, R. Bibcode: 1995ASPC...76..124D Altcode: 1995gong.conf..124D No abstract at ADS Title: On Expected Constraints on Stellar Transport Processes from Space Seismic Missions: EVRIS, COROT Authors: Goupil, M. J.; Michel, E.; Cassisi, S.; Dziembowski, W. A.; Lebreton, Y.; Baglin, A.; Auvergne, M.; Catala, C. Bibcode: 1995ASPC...83..453G Altcode: 1995IAUCo.155..453G; 1995aasp.conf..453G No abstract at ADS Title: The Opacity Driven Pulsators Authors: Dziembowski, W. A. Bibcode: 1995ASPC...76..586D Altcode: 1995gong.conf..586D No abstract at ADS Title: The opacity driven pulsators Authors: Dziembowski, W. A. Bibcode: 1995HiA....10..584D Altcode: No abstract at ADS Title: Nonadiabatic observables in β Cephei models. Authors: Cugier, H.; Dziembowski, W. A.; Pamyatnykh, A. A. Bibcode: 1994A&A...291..143C Altcode: Using results of linear nonadiabatic calculations for oscillations of β Cephei star models, we calculate amplitudes and phases for light, colour and radial velocity for the unstable modes of low harmonic degrees, l. The nonadiabatic observables are the amplitude ratios and the phase differences for various oscillating parameters. We construct theoretical diagrams involving these observables as well as pulsation periods and compare them with the stellar data. Balona & Stobie (1979) showed that the diagrams based on two-colour photometric data may be used to determine the l-value of an observed mode. Our use of results of nonadiabatic calculations improves their method. We show, in paricular, that the diagrams employing the satellite ultraviolet measurements are the best for discrimination between the l=0, 1 and 2 cases. The clearest separation of the domains for the three l-values occurs in the diagram making use of both photometric and the radial velocity data. The observational points fall into three theoretical domains and an assignment of the l-value is unambiguous. A comparison of the theory with the observations is also made using the Period versus Amplitude ratios diagrams in various photometric systems. The agreement is very satisfactory and, in most cases, the l-value can be determined. The nonadiabatic observables are useful not only to determine l but also the radial order of the observed modes as well as for constrain mean stellar parameters. As an example we consider the case of δ Ceti - a single mode β Cephei star. Our results point to the significant multicolour photometric and spectroscopic data for asteroseismology. Title: A Seismic Model of the Sun's Interior Authors: Dziembowski, W. A.; Goode, Philip R.; Pamyatnykh, A. A.; Sienkiewicz, R. Bibcode: 1994ApJ...432..417D Altcode: We advance the method of frequency inversion revealing a more accurate seismic sounding of the solar core. We show that with the quoted observational errors, it is possible to achieve a precision of approximately 10-3 in the sound speed determination through most of the sun's interior. Only for r less than 0.05 solar radius is the precision approximately 10-2. The accuracy of the density and pressure determinations is only slightly worse. Such restrictions impose significant constraints on the microscopic physical data, i.e., opacities, nuclear-reaction cross sections, and diffusion coefficients, as well as on the solar age. The helioseimic age is consistent with that from meteorites. The currently available data for low-degree p-mode frequencies exhibit a scatter that is larger than the quoted errors, and therefore the actual precision of seismic inferences is less than what we report, especially for the solar core. We invert p-mode data to obtain a solar seismic model. Comparisons of the solar seismic model with current theoretical models shows a need for some refinements within the framework of the standard solar model. Only in the innermost part of the core (r less than 0.05 solar radius) do we see a feature in the seismic sound speed that cannot easily be accounted for by refinements of the model. But the reality of the feature is by no means certain. We find no evidence supporting an astrophysical solution to the solar neutrino problem. Title: Internal Rotation of the Sun Authors: Duvall, T. L., Jr.; Dziembowski, W.; Goode, P. R.; Gough, D. O.; Harvey, J. W.; Leibacher, J. W. Bibcode: 1994snft.book..414D Altcode: No abstract at ADS Title: The New Opacities and B-Star Pulsations Authors: Dziembowski, W. A. Bibcode: 1994IAUS..162...55D Altcode: No abstract at ADS Title: G-Mode instability in the main sequence B-type stars Authors: Dziembowski, W. A.; Moskalik, P.; Pamyatnykh, A. A. Bibcode: 1994IAUS..162...69D Altcode: No abstract at ADS Title: Nonadiabatic observables in Beta Cephei star models Authors: Cugier, H.; Dziembowski, W. A.; Pamyatnykh, A. A. Bibcode: 1994IAUS..162...15C Altcode: No abstract at ADS Title: The structure of the solar core Authors: Dziembowski, W. A. Bibcode: 1994LNP...432...29D Altcode: 1994LNPM...11...29D The efforts to resolve the solar neutrino problem resulted in a considerable progress in reliability and accuracy in modelling the Sun's interior. Implications from helioseismic sounding supports the standard picture of the solar evolution. A comparison of neutrino fluxes measured in various experiments seems to rule out a non-standard solar core as the solution of the neutrino problem. Title: OP versus OPAL opacities: consequences for B star oscillations Authors: Pamyatnykh, A. A.; Dziembowski, W. A.; Moskalik, P.; Seaton, M. J. Bibcode: 1994IAUS..162...70P Altcode: No abstract at ADS Title: The opacity mechanism in B-type stars - II. Excitation of high-order g-modes in main-sequence stars. Authors: Dziembowski, W. A.; Moskalik, P.; Pamyatnykh, A. A. Bibcode: 1993MNRAS.265..588D Altcode: We show that the OPAL opacities, in addition to explaining the origin of the pulsations of β Cep stars, also predict the existence of a large region in the main-sequence band at lower luminosities, where high-order g-modes of low harmonic degree l are unstable. The excitation mechanism remains the same, and is due to the usual w-effect acting in the metal opacity bump (T ≍ 2 × 105 K). The new instability domain nearly bridges the gap in spectral types between δ Sct and β Cep stars. The periods of the unstable modes are in the range 0.4-3.5 d for l=1 and 2. We propose that this excitation mechanism causes photometric variability in the slowly pulsating B-type stars (SPB stars), and perhaps in other B stars for which variability in the same period range has been reported.

Typically, a large number of modes are simultaneously unstable in one model. Most of them have l>2. Such modes are not likely to be detected photometrically, but may be visible in line profile changes. The excitation of many high-l modes in a star may also cause a spurious contribution to the rotational υ sin i values.

Sequences of unstable modes at each value of l exhibit a periodically varying departure from equal spacing in period. This feature, first noted in white dwarf g-mode spectra (calculated and measured), is in the present case a probe of the region left behind the shrinking core (the μ-gradient zone). We discuss prospects for and difficulties of SPB-star asteroseismology. Title: The opacity mechanism in B-type stars - I. Unstable modes in beta Cephei star models. Authors: Dziembowski, W. A.; Pamiatnykh, A. A. Bibcode: 1993MNRAS.262..204D Altcode: A stability survey for models of 7- to 16-solar-mass stars in the main-sequence (MS) and early post-MS evolutionary phases is presented on the basis of an improved version of the OPAL capacities, with the metal abundance parameter Z having values of 0.02 and 0.03. For most of the Beta Cep objects, a value of Z = 0.02 suffices to account for the pulsational instability. The fundamental radial mode, p1, is unstable in all sequences of stellar models considered, except the one with M = 7 solar masses and Z = 0.02. Instability of the overtones, up to p3 for Z = 0.03, appears with mass increase. Nonradial modes of low degrees are unstable in a wider frequency range encompassing low-order g-modes. All of these modes may be associated with the Beta Cep phenomenon. For higher spherical harmonic degrees, there is a domain of high-order g-mode instability. Excitation of such modes may be responsible for long-period variability of line profiles observed in some B-type stars. Title: The Sun's Internal Angular Momentum from Seismology Authors: Dziembowski, W. A.; Goode, P. R. Bibcode: 1993ASPC...42..225D Altcode: 1993gong.conf..225D No abstract at ADS Title: The Sun's Internal Rotation during and after the 1986 Activity Minimum Authors: Goode, P. R.; Dziembowski, W. A. Bibcode: 1993ASPC...42..217G Altcode: 1993gong.conf..217G No abstract at ADS Title: Radial and nonradial mode instability in B-type stars Authors: Dziembowski, W. A.; Pamyatnykh, A. A. Bibcode: 1993ASPC...40..721D Altcode: 1993IAUCo.137..721D; 1993ist..proc..721D No abstract at ADS Title: Mode selection and other nonlinear phenomena in stellar oscillations. Authors: Dziembowski, W. A. Bibcode: 1993ASPC...40..521D Altcode: 1993ist..proc..521D; 1993IAUCo.137..521D Nonlinear effects determining the amplitudes of unstable modes of oscillations in stellar modes, are reviewed. The two basic processes - saturation of the driving mechanism and resonant mode coupling - are discussed within the framework of the amplitude equation formalism. There are difficult problems in the theory of multiple mode interaction that must be solved to make a prediction of amplitude spectra possible. The observed spectra for δ Scu stars and other multiperiodic variables, exhibit no simple pattern that would suggest a solution of the theoretical problems. Title: Probing the convective-radiative zone interface by means of helio- and asteroseismology (invited paper) Authors: Dziembowski, W. Bibcode: 1993MmSAI..64..223D Altcode: No abstract at ADS Title: Seismic Limits on the Sun's Internal Toroidal Field Authors: Goode, P. R.; Dziembowski, W. A. Bibcode: 1993ASPC...42..229G Altcode: 1993gong.conf..229G No abstract at ADS Title: Sources of uncertainty in direct seismological measurements of the solar helium abundance Authors: Kosovichev, A. G.; Christensen-Dalsgaard, J.; Daeppen, W.; Dziembowski, W. A.; Gough, D. O.; Thompson, M. J. Bibcode: 1992MNRAS.259..536K Altcode: The methods by which Dappen et al. (1988, 1990, 1991) and Dziembowski et al. (1990, 1991, 1992) recently obtained discrepant estimates of the helium abundance in the solar convection zone are compared. The aim of the investigation reported in this paper is to identify the main source of the discrepancy. Using as proxy data eigenfrequencies of a set of modes of a theoretical solar model, computed with the same physics as were the frequencies of a reference model with which these data are compared, the two methods yield similar results. Thus we ascertain that the principal source of the discrepancy is not in the inversions themselves, which yield essentially a measure of the variation of the adiabatic exponent gamma of the material in the He II ionization zone. Instead it is in the approximations adopted in the treatment of heavy elements in the equation of state used to relate the variation of gamma to chemical composition. We obtain acceptably consistent results when inverting solar data by two methods using the same equation of state. We attempt to identify the likely residual sources of uncertainty. Title: Effects of Differential Rotation on Stellar Oscillations: A Second-Order Theory Authors: Dziembowski, W. A.; Goode, Philip R. Bibcode: 1992ApJ...394..670D Altcode: A complete formalism, valid through second order in differential rotation, is developed and applied to calculate the frequencies of stellar oscillations. The derivation is improved and the asymptotic formulas for g-mode splittings are generalized. In application to solar oscillations, it is found that the second-order effects are dominated by distortion for l less than 500. Further, these effects are sufficiently large that they must be accounted for in any effort to seismically determine the sun's internal magnetic field. In the solar oscillation spectrum, accidental degeneracies happen but cannot lead to large frequency shifts. For evolved delta Scuti stars, calculated spectra are dense, and, under the perturbing effect of rotation, members of neighboring multiplets may overlap. The seismic potential of modes of mixed p-mode and g-mode character is emphasized for these stars. Title: New opacities and the origin of the β Cephei pulsation. Authors: Moskalik, P.; Dziembowski, W. A. Bibcode: 1992A&A...256L...5M Altcode: New opacities of Iglesias and Rogers were used in a pulsation stability survey of β Cephei envelope models. It was found that the fundamental radial mode is unstable and that the instability should persist in nonradial modes of similar and lower frequencies. The driving is caused by the usual κ-mechanism acting in a zone with temperatures near 2×105K where there is a bump in opacity. The instability arises as a result of a slight surplus of this driving over the damping which takes place in the rest of the star interior. Its occurrence depends in a sensitive way on the heavy element content. The theoretical instability strip on the H-R diagram agrees well with the observational one. The theoretical strip widens in the supergiant region, which suggests that the same mechanism may be responsible for oscillations in the Luminous Blue Variables. Title: Testing Stellar Evolution Theory with Oscillation Frequency Data. Authors: Dziembowski, W. Bibcode: 1992RvMA....5..143D Altcode: No abstract at ADS Title: Seismological Tests of Standard Solar Models Calculated with New Opacities Authors: Dziembowski, W. A.; Pamiatnykh, A. A.; Sienkiewicz, R. Bibcode: 1992AcA....42....5D Altcode: We calculated models of the Sun adopting opacity data of Iglesias and Rogers (1991) for three heavy element mixtures. Calculations were made with a standard stellar evolution code ignoring effects of gravitational settling and the convective overshooting. Using nearly 2300 measured frequencies of solar p-modes we determined corrections to the sound speed and density distribution in these models. The corrections were found to be significantly smaller than those in models calculated with earlier opacities. The model calculated with the Anders and Grevesse (1989) mixture of heavy elements shows a remarkable agreement with the helioseismic data. There is, however, a contradiction between this consistency and a sizable correction to the surface helium abundance, Delta Y approx -0.04. We argue that this large value may be a spurious result caused by inadequacies in the MHD (Mihalas, Dappen and Hummer 1988) thermodynamics used in the models. We found new evidence for such inadequacies in relatively large corrections to the sound speed in the fractional radius range 0.85-0.95. Title: Testing stellar evolution theory with oscillation frequency data. Authors: Dziembowski, W. Bibcode: 1992RvMA....5..142D Altcode: Contents: Introduction. Mixing in stellar interiors - an unresolved problem. Methods of asteroseismology. Mixing in the Sun's core? On the interface between convective envelope and radiative interior. What did we learn from helioseismology about the angular momentum evolution? Can δ Scuti star observations help us to solve the overshooting problem? Title: A potential asteroseismological test for convective overshooting theories. Authors: Dziembowski, W. A.; Pamyatnykh, A. A. Bibcode: 1991A&A...248L..11D Altcode: Attention is given to that mode excited by the opacity mechanism in Delta Scuti stars which is trapped in the region containing the outer part of the convective core and the chemically inhomogeneous zone behind the shrinking core. This mode evolves toward higher frequencies that exhibit the 'avoided crossing' with constitutive p-modes. It is suggested that this mode frequency's determination could furnish a useful indication of the extent of the overshooting from the convective core. Spaceborne observations yielding detailed periodograms for Delta Scuti variables are recommended. Title: Seismology for the Fine Structure in the Sun's Oscillations Varying with Its Activity Cycle Authors: Dziembowski, W. A.; Goode, Philip R. Bibcode: 1991ApJ...376..782D Altcode: The symmetric part of the fine structure in the 1986 and 1988 solar oscillation data of Libbrecht and Woodard (1990) is inverted to find statistically significant evidence for a steady megagauss toroidal field at the bottom of the convective envelope. The sizable amplitude of a cycle-dependent near-surface perturbations, which is argued to have its origin in the fibril field, is confirmed. Title: Helium content in the solar convective envelope from helioseismology Authors: Dziembowski, W. A.; Pamiatnykh, A. A.; Sienkiewicz, R. . Bibcode: 1991MNRAS.249..602D Altcode: Using measured frequencies of the solar p-modes, the fractional mass content of helium in the sun's envelope is determined. It is found that its value lies between 0.23 and 0.24. This result appears to be unaffected by the uncertainties in the treatment of the atmosphere and the outer convective zone, but it relies in a sensitive way on calculation of thermodynamical quantities. Title: What We Know about the Sun's Internal Rotation from Solar Oscillations Authors: Goode, Philip R.; Dziembowski, W. A.; Korzennik, S. G.; Rhodes, E. J., Jr. Bibcode: 1991ApJ...367..649G Altcode: In this paper, a uniform approach of inversion was used to determine the internal rotation rate of the sun from each of the six available sets of solar oscillation data, which included the data of Duvall et al. (1986), Rhodes et al. (1987, 1990), Tomczyk (1988), Brown and Morrow (1987), and Libbrecht (1989). The technique chosen for inverting the solar oscillation data was the discretized least-squares technique. The results indicate that the rotation rate of the sun in the equatorial plane declines going inward between the surface and 0.6 of the radius and that the polar rate increases going inward (i.e., the surfacelike differential rotation decreases with depth). Title: Solar-cycle dependence of the Sun's deep internal rotation shown by helioseismology Authors: Goode, Philip R.; Dziembowski, W. A. Bibcode: 1991Natur.349..223G Altcode: HELIOSEISMOLOGY, the study of solar oscillations, yields information on the Sun's internal rotation and magnetism which is of great importance in understanding the 22-year solar cycle. We show here that helioseismic data suggest that the Sun's internal rotation rate, at depths greater than half the solar radius, has changed systematically during the most recent cycle. There is no variation, however, in the rotation over a range of intermediate solar radii covering the upper part of the Sun's radiative interior and the lower part of the convective zone; this intermediate region is where, according to the same helioseismic data, an abrupt change in rotation rate with depth accompanies the transition from convective to radiative structure. We suggest that the modulation of the rotation rate in the Sun's interior could be caused by a torsional oscillation, provided that a poloidal magnetic field of kilogauss strength exists in the radiative interior. Title: The internal rotation and magnetism of the Sun from its oscillations. Authors: Dziembowski, W. A.; Goode, Philip R. Bibcode: 1991sia..book..501D Altcode: The study of solar oscillations has revealed knowledge of the internal rotation of the Sun and something of its internal magnetic field. The authors present the formalism needed to determine the internal rotation from oscillation data. Equations are developed that describe centrifugal distortion and results are given. They sketch the formalism required to treat poloidal and toroidal magnetic fields inside the Sun. Results are presented for a toroidal field concentrated near the base of the convection zone and for assumed relic poloidal and toroidal fields in the deep interior. Title: Solar model from helioseismology and the neutrino flux problem Authors: Dziembowski, W. A.; Pamyatnykh, A. A.; Sienkiewicz, R. Bibcode: 1990MNRAS.244..542D Altcode: The pressure and density in the sun's interior is determined using observed frequencies of the solar p-modes for spherical harmonic degrees less than 100. A nonasymptotic method, enabling accurate probing of the energy-producing core, was developed. It is found that most of the differences between standard solar models and the model from helioseismology can be explained if the opacity in the sun's interior is higher than assumed. There is an anomaly in the innermost part of the interior which may be interpreted as evidence that the sun has a small convective core. A search for the minimum value of the neutrino flux is conducted, taking the pressure and density distributions from helioseismology and considering a class of plausible profiles for the hydrogen content. It is found that this minimum value exceeds 10 SNU. The results show that the solar p-mode data exacerbate the neutrino flux problem, and suggest that the solution lies in the domain of particle physics. Title: Toward Seismology of δ Scuti Stars Authors: Dziembowski, W. Bibcode: 1990LNP...367..359D Altcode: 1990LNP...367..357D; 1990psss.conf..359D Many among Scuti variables were shown to be multiperiodic and all of them probably are. Being in various stages of early evolutionary phase these stars seem excellent candidates for seismic testing the basic assumptions and physics of the stellar evolution theory. What hinders any major progress in the field is an unresolved problem of connecting sparse spectra of the observed oscillation frequencies to dense spectra calculated for the models. Determination of the rotation rate in the interior is probably the most important goal of asteroseismology. In the case of Scuti stars there is a complication following from the high density of the spectrum that the standard formula for the rotational splitting may not be valid. To understand mode selection mechanism we have to go beyond the linear adiabatic theory of stellar oscillations. There are still uncertainties in determining mode stability, but the real difficulty lies in prediction which of many unstable models may reach detectable amplitudes. Trapping in the envelope is a possible mechanism of mode selection, but it is not clear yet whether it finds support in observational data. Observational information on spherical harmonics associated with the observed periodicities is crucial for mode identification. This was obtained with use of both photometric and spectroscopic data for number of Scuti stars. There are, however, uncertainties which must be clarified with new data and improved methods of their analysis. Efforts in obtaining periodograms for unevolved objects having simple theoretical frequency spectra are encouraged. Title: On themechanism of mode selection in delta Scuti stars. Authors: Dziembowski, W.; Krolikowska, M. Bibcode: 1990AcA....40...19D Altcode: All well studied variables of the Delta Sct type are evolved objects whose theoretical frequency spectra for nonradial modes are very dense. The phenomenon of trapping in the acoustic cavity is investigated as a possible mode selection mechanism. It is shown that, in the relevant frequency range, a partial trapping occurs for the spherical harmonic degree l = 1 but it does not for l = 2 and 3. Consequences of this finding for the astroseismology are discussed. Title: Has the sun's internal rotation changed through this activity cycle ? Authors: Goode, P. R.; Dziembowski, W. A.; Rhodes, E. J., Jr.; Korzennik, S. Bibcode: 1990LNP...367..349G Altcode: 1990psss.conf..349G The internal rotation of the Sun is determined from each of the six available sets of solar oscillation splitting data. These data span this activity cycle and best sample the region near the base of the convection zone. Going inwards through the convection zone into the outer radiative interior, the robust results are a decrease in the rotation rate in the equatorial plane and a trend away from the surface-like differential rotation toward solid body rotation. In the equatorial plane of the radiative interior, the rotation rate seems to systematically increase through the solar cycle. If true, this suggests that the interior has a role in the activity cycle. Title: Erratum: "On the mechanism of mode selection in δ Scuti stars" [Acta Astron., Vol. 40, No. 1/2, p. 19 - 26 (1990)]. Authors: Dziembowski, W.; Królikowska, M. Bibcode: 1990AcA....40..348D Altcode: No abstract at ADS Title: The Toroidal Magnetic Field inside the Sun Authors: Dziembowski, W. A.; Goode, Philip R. Bibcode: 1989ApJ...347..540D Altcode: The seismology is developed which is needed to determine the internal toroidal magnetic field of the sun from its oscillations. Applying this seismology to the oscillation data of Libbrecht (1989). Evidence was found for an axisymmetric quadrupole toroidal field of 2 + or - 1 MG centered near the base of the convection zone. This field has the symmetry and location expected for the field fed by the solar dynamo at its seat. Title: Inferring the Sun's Internal Angular Velocity from Observed p-Mode Frequency Splittings Authors: Brown, Timothy M.; Christensen-Dalsgaard, Jorgen; Dziembowski, Wojciech A.; Goode, Philip; Gough, Douglas O.; Morrow, Cherilynn A. Bibcode: 1989ApJ...343..526B Altcode: The sun's internal solar velocity Omega is studied as a function of latitude and radius using the solar oscillation data of Brown and Morrow (1987). An attempt is made to separate robust inferences about the sun from artifacts of the analysis. It is found that a latitudinal variation of Omega similar to that observed at the solar surface exists throughout the sun's convection zone and that the variation of Omega with latitude persists to some extent even beneath the convection zone. Title: The Radial Gradient in the Sun's Rotation Authors: Dziembowski, W. A.; Goode, Philip R.; Libbrecht, K. G. Bibcode: 1989ApJ...337L..53D Altcode: The solar oscillation data of Libbrecht (1989) are inverted, and it is found that there is a sharp radial gradient in the sun's rotation at the base of the convection zone. The existence of a sharp radial gradient there may be used to suggest that it is the site of the dynamo which drives the sunspot cycle. Title: Using oscillation data to probe the internal rotation and magnetism of the Sun. Authors: Dziembowski, Wojciech Bibcode: 1988ESASP.286..259D Altcode: 1988ssls.rept..259D Integral equations relating the rotation rate and the toroidal field intensity to the parameters describing fine structure in the frequency spectra are discussed. Solutions of the inverse problem for the rotation are presented. Features which may be relevant to the magnetic activity were found in the radial dependence of the rotation rate. Some evidence exists for changes with the solar cycle. There is no clear signature of direct effect of magnetism in the observed fine structure. Title: How comparison between observed and calculated p-mode eigenfrequencies can give information on the internal structure of the sun Authors: Dziembowski, W. A.; Paterno, L.; Ventura, R. Bibcode: 1988A&A...200..213D Altcode: The frequencies of some 400 identified solar p-modes of degree 0 ≤ l ≤ 14 have been compared with the corresponding eigenfrequencies deduced from two standard solar models in order to investigate on the frequency difference δν between observation and theory as a function of frequency ν and degree l. The behaviour of δν(ν, l) permits to have information on the correctness of the internal structure of the Sun. The results of this preliminary analysis show that errors in the computed solar structure mainly arise from the treatment of the surface layers, though small errors in the innermost layers cannot be ruled out. A subsequent comparison between the eigenfrequencies of the two models clarifies the method of this analysis and points out that few per cent changes in sound speed in the deep interior affect the eigenfrequencies by few μHz. Title: The Magnetic Field Inside the Sun Authors: Dziembowski, W.; Goode, P. R. Bibcode: 1988IAUS..123..171D Altcode: Duvall, Harvey and Pomerantz (1986) reported the existence of a "structural asymmetry" inside the Sun. The authors show here that this asymmetry is not a consequence of the Sun's rotation. They attribute the asymmetry, rather, to a toroidal magnetic field inside the Sun. Consistency requires a field of about one megagauss located in the lower part of the convection zone. Accounting for such a field would wreak havoc on our understanding of the solar dynamo and convection. Title: Asteroseismology - Results and Prospects Authors: Dappen, W.; Dziembowski, W. A.; Sienkiewicz, R. Bibcode: 1988IAUS..123..233D Altcode: The main effects of stellar mass and evolution on oscillation frequencies are discussed with the help of simplified wave-propagation diagrams. Frequency separations resulting from asymptotic expressions are compared with the corresponding results from numerical computations. The seismological issues of solar-like stars and Ap stars are discussed in some detail, and a progress report on the equation of state for stellar interiors is given. The review ends with a summary of properties and important physical problems for selected classes of variable stars. Title: Nonlinear Effects in Low Amplitude Variables Authors: Dziembowski, W. Bibcode: 1988msp..conf..127D Altcode: No abstract at ADS Title: Nonlinear mode coupling in oscillating stars. III. Amplitude limitingeffect of the rotation in the Delta Scuti stars. Authors: Dziembowski, W.; Krolikowska, M.; Kosovichev, A. Bibcode: 1988AcA....38...61D Altcode: The authors derive the amplitude equations describing the three-mode coupling in the presence of rotation. The formalism is applied to calculate the amplitudes of the low order acoustic modes at the onset of the parametric instability to the growth of gravity modes. Numerical calculations made for a ZAMS star model show that significant lowering of these amplitudes occurs for Vrot > 20 km/s. This may explain observed absence of high amplitude pulsators in rapidly rotating stars. Title: Inertial Modes Trapped in the Solar Convective Envelope Authors: Dziembowski, W.; Kosovichev, A.; Kozlowski, M. Bibcode: 1988IAUS..123..117D Altcode: No abstract at ADS Title: Solar rotation. Authors: Dziembowski, W. Bibcode: 1988PoAst..36....3D Altcode: Sunspot observations made by Johannes Hevelius in 1642 - 1644 are the first ones providing significant information about the solar differential rotation. In modern astronomy the determination of the rotation rate is done in a routine way by measuring positions of various structures on the solar surface as well as by studying the Doppler shifts of spectral lines. In recent years a progress in helioseismology enabled determination of the rotation rate in the layers inaccessible for direct observations. There are still uncertainties concerning, especially, the temporal variations of the rotation rate and its behaviour in the radiative interior. We are far from understanding the observations. Theoretical works have not yet resulted in a satisfactory model for the angular momentum transport in the convective zone. Title: In memory J. S. Stodółkiewicz. Authors: Dziembowski, W. Bibcode: 1988PoAst..36..147D Altcode: No abstract at ADS Title: Limiting Amplitude Effect of the Parametric Resonance in Rotating Main Sequence Stars Authors: Królikowska, M.; Dziembowski, W. Bibcode: 1988msp..conf..141K Altcode: No abstract at ADS Title: Low frequency oscillations in slowly rotating stars. I. General properties. Authors: Dziembowski, W.; Kosovichev, A. Bibcode: 1987AcA....37..313D Altcode: The case of general nonuniform rotation is considered. Some of the results, however, are applicable only to spherical rotation. Partial differential equations for adiabatic oscillations are reduced to a system of ordinary equations by means of a truncated spherical-harmonic expansion. Asymptotic solutions are obtained and used in the discussion of mode properties and classification. These solutions are also employed in the numerical method of a quantitative treatment of the problem. It is pointed out that approximations used in previous studies of quasi-toroidal modes are not generally valid in whole stellar models, and this refers also to the case of the uniform rotation. Title: Low Frequency Oscillations in Slowly Rotating Stars - Part Two - Inertial Modes in the Solar Convective Envelope Authors: Dziembowski, W.; Kosovichev, A.; Kozlowski, M. Bibcode: 1987AcA....37..331D Altcode: Due to their efficient trapping in the outer layers the inertial oscillations may reach observable amplitudes even if they have energies as low as those of the individual "five minute" modes. The authors present results of eigenfrequencies and eigenvectors calculations that should facilitate spectroscopic search for such oscillations. Title: Low Frequency Oscillations in Slowly Rotating Stars - Part Three - Kelvin-Helmholtz Instability Authors: Dziembowski, W.; Kosovichev, A. Bibcode: 1987AcA....37..341D Altcode: Adiabatic instabilities of stellar rotation to nonaxisymmetric perturbations are investigated. Exact instability criteria are obtained assuming various forms of the longitudinal differential rotation. It is shown that the forms determined for the sun imply an instability, but limitation of the formalism when applied to the convective zone are pointed out. Title: Asteroseismology for certain Ap stars. Authors: Dziembowski, W.; Goode, Philip R. Bibcode: 1986ASIC..169..441D Altcode: 1986ssds.proc..441D The discovery by Kurtz of phase coherent, rapid oscillations in certain Ap stars holds great promise for the new field of asteroseismology. The authors discuss a generalized oblique pulsator model for these stars which allows to compare the effects of rotation and magnetism. A central role for mode coupling and amplitude limitation in the observed period doubling is suggested. Title: Is the existence of a strong magnetic field in the Sun's core plausible? Authors: Dziembowski, W. A.; Paterno, L.; Ventura, R. Bibcode: 1986ASIC..169..271D Altcode: 1986ssds.proc..271D The authors estimate the energies of the identified solar gravity modes from the observed radial velocity amplitudes, and deduce that the energies of some modes are of the same order of the total energy of the convective motions in the solar envelope. This fact rules out the possibility of direct or indirect excitation of these modes by convection. It is suggested that the most plausible excitation mechanism relies upon a magnetic torque caused by the presence of a global magnetic field of the order of a megagauss in the Sun's core. Title: Internal rotation of the Sun as a consequence of instabilities in theradiative interior. Authors: Dziembowski, W. A.; Paterno, L.; Ventura, R. Bibcode: 1986ASIC..169..257D Altcode: 1986ssds.proc..257D The authors consider the effect of the molecular weight gradient in the Sun's radiative interior on the Goldreich-Schubert-Fricke instability, and deduce the marginal gradient of angular velocity which can be tolerated. The same gradient is also calculated for the axisymmetric baroclinic diffusive instability which has the lowest threshold of the hydrodynamical instabilities. The curves obtained for the angular velocity contradict those inferred from the observed splittings of p-mode oscillations. The authors suggest that angular momentum can be transferred from interior owing to some instability caused by the presence of a global magnetic field in the Sun's core. Title: Excitation of solar oscillation gravity modes by magnetic torque Authors: Dziembowski, W. A.; Paterno, L.; Ventura, R. Bibcode: 1985A&A...151...47D Altcode: Observed radial velocity amplitudes are used to determine the energies of the identified solar gravity modes. The energies of some modes are of the same order of magnitude of the total energy of the convective motions in the solar envelope. Therefore the authors argue that this fact rules out the possibility of direct or indirect excitation of these modes of convection. After having reviewed some possibilities for a driving mechanism acting in the solar core, they suggest that the most plausible driving mechanism is the effect of the magnetic torque caused by the presence of a global magnetic field and mild turbulence in the core. Title: Frequency splitting in AP stars Authors: Dziembowski, W.; Goode, P. R. Bibcode: 1985ApJ...296L..27D Altcode: The oblique pulsator model by Kurtz was generalized to account for the observed properties of rapidly oscillating Ap stars. In this model, which includes advection and an oblique magnetic field, the modes are represented, in general, by a superposition of all spherical harmonics having the appropriate degree, l. It is predicted that an observer will report a mode splitting into (2l + 1)-frequency components with the spacing equal to the rotation frequency of the star. The relative amplitudes at these frequencies are predicted following from a postulated selective excitation mechanism due to the field, and the diagnostic potential of the data on these Ap stars is discussed. Title: Nonlinear mode coupling in oscillating stars. II - Limiting amplitude effect of the parametric resonance in main sequence stars. Authors: Dziembowski, W.; Krolikowska, M. Bibcode: 1985AcA....35....5D Altcode: The authors study effects of the parametric resonance on the development of acoustic mode instability in a model of ZAMS δ Scuti star. There is a large number of gravity-mode pairs that may be excited already at very low amplitudes of the acoustic mode in a consequence of the parametric instability. A probability distribution of the minimum amplitude at the onset of this instability (critical amplitude) is determined for all acoustic modes with l ≤ 2 that are linearly driven due to κ-mechanism. For none of these modes the mean critical amplitude exceeds 0.02 mag. Equilibrium states involving three coupled modes with constant amplitudes are studied. Title: Fine structure of solar acoustic oscillations due to rotation. Authors: Goode, P. R.; Dziembowski, W. Bibcode: 1984sses.nasa..351G Altcode: 1984sss..conf..351G The nature of the fine structure of high order, low degree five minute period solar oscillations following from various postulated forms of spherical rotation is predicted. The first and second order effects of rotation are included. Title: Internal rotation of the Sun Authors: Duvall, T. L., Jr.; Dziembowski, W. A.; Goode, P. R.; Gough, D. O.; Harvey, J. W.; Leibacher, J. W. Bibcode: 1984Natur.310...22D Altcode: The frequency difference between prograde and retrograde sectoral solar oscillations is analysed to determine the rotation rate of the solar interior, assuming no latitudinal dependence. Much of the solar interior rotates slightly less rapidly than the surface, while the innermost part apparently rotates more rapidly. The resulting solar gravitational quadrupole moment is J2 = (1.7+/-0.4) × 10-7 and provides a negligible contribution to current planetary tests of Einstein's theory of general relativity. Title: Simple asymptotic estimates of the fine structure in the spectrum of solar oscillations due to rotation and magnetism Authors: Dziembowski, W.; Goode, P. R. Bibcode: 1984MmSAI..55..185D Altcode: Simple asymptotic formulae are presented and used to predict the effect of rotation and magnetism on the fine structure in the spectrum of solar oscillations. The authors compare the linear effect of rotation on the fine structure to the quadratic effect of rotation. The asymptotic formulae for the magnetically induced fine structure are used to schematically determine the requisite field size to cause an observable change in the structure and the nature of the change. Title: On the role of resonances in double-mode pulsation Authors: Dziembowski, W.; Kovacs, G. Bibcode: 1984MNRAS.206..497D Altcode: Attention is given to the simultaneous effects of resonant coupling and nonlinear saturation of the linear driving mechanism on the finite amplitude solution of the multimodal pulsation problem and on its stability. The calculations of both effects are in the lowest order of approximation in terms of amplitudes. The 2:1 resonance between one of the two linearly unstable modes and a higher frequency mode gives rise to double-mode (fundamental and first overtone) pulsation. It is noted that within a certain range of parameters, such as the frequency mismatch, the linear growth, and damping rates, it is the only stable solution to the problem. It is also shown that three-mode resonance promotes a single-mode rather than a double-mode pulsation. Under certain conditions, the nonresonant interaction occurring through the collective saturation of the driving rates may lead to multimodal variability. It is contended here, however, that this condition is unlikely to be met in Cepheids and RR Lyrae stars. Title: Introductory report : Vibrational Instability of Stars with Rotation and/or Magnetic Field Authors: Dziembowski, W. Bibcode: 1984LIACo..25..346D Altcode: 1984tpss.conf..346D; 1984trss.conf..346D No abstract at ADS Title: Theory and application of stellar seismology Authors: Dziembowski, W. Bibcode: 1984AdSpR...4h.143D Altcode: 1984AdSpR...4..143D Observation of multiperiodic variability in stars offers a powerful tool to probe their internal structure, rotation and magnetism. This follows from the possibility of identification of observed frequencies with those calculated for realistic stellar models. In spherical stars oscillations are described in terms of two-dimensional discrete sets of acoustic- and gravity-modes. In realistic cases there is no universal relation among the frequencies. Thus, each frequency observed is an independent observable. In recent years comparisons between observed and theoretical frequencies were made for the sun and various variable stars. The most dramatic discrepancy occurs for double-mode Cepheids. Magnetism and/or rotation induce fine structure in the frequency spectrum. The width and structure of multiplets depend on the size of these effects weighted in a specific way for each mode. Recently, oscillation data were used to determine the behavior of the angular velocity inside the sun. For stars only some average rotation rates have been determined in this way. Title: Limits on the Sun's core magnetism from solar oscillations Authors: Dziembowski, W.; Goode, P. R. Bibcode: 1983Natur.305...39D Altcode: Many years ago Cowling1 discussed the possibility that the Sun has a significant relic field. This field would have poloidal and toroidal components, with the toroidal component being driven by dynamo action on the poloidal component. The toroidal field would be quadrupole in nature having opposite senses in the upper and lower hemispheres. Subsequently, Dicke2 proposed that the solar quadrupole moment is caused by a strong, inclined toroidal field with a magnitude of ~6×107 G. Ulrich and Rhodes3 suggested that a poloidal field with a magnitude of 3 × 108 G was required to account for some of the properties of the 5-min period oscillation. Whereas Mestel and Moss4 claimed that such fields may not be sufficiently stable to endure. Hill et al.5 argued that solar oscillation data imply that a simple poloidal field is much weaker than 3 × 108 G and Gough6 has suggested that the toroidal field may be much weaker than the 6 × 107 G postulated by Dicke2. Magnetic fields, like rotation, produce a fine structure in solar oscillations. Their effects should be detectable provided the fields are sufficiently intense. Here we perform an analysis of oscillation data due to Hill et al.5 to show that limits of a few megagauss can be placed on poloidal and toroidal magnetic fields inside the Sun. A limit can thereby also be placed on the part of the quadrupole moment of the Sun due to magnetism. These fields are too weak to induce a quadrupole moment much larger than that which would result if the Sun rotated rigidly at the observed surface equatorial rate. Title: Resonant Coupling Between Solar Gravity Modes Authors: Dziembowski, W. Bibcode: 1983SoPh...82..259D Altcode: 1983IAUCo..66..259D It is shown that in consequence of the parametric resonance, g modes of low spherical harmonic degree l are strongly coupled to the modes of high degree. The coupling limits the growth of low l modes to very small amplitudes. For g1, l = 1 mode, the final amplitude of the radial velocity is of the order of 10 cm s-1. A mixing of solar core as a result of a finite-amplitude development of linear instability of this mode is thus highly unlikely. Title: On the origin of the acoustic flux in Sirius B. Authors: Dziembowski, W.; Gesicki, K. Bibcode: 1983AcA....33..183D Altcode: An alternative hypothesis is presented to explain the soft X-ray flux observed in Sirius B. The most popular explanation postulates the existence of an acoustic flux of the order of 10 to the 29th ergs per second generated in the subphotospheric convective zone. The present alternative hypothesis of acoustic flux generation is based on the authors' finding that the layered envelope models for this star are unstable to short-period oscillations between 0.06 and 0.45 if the hydrogen-rich layer is sufficiently shallow (mass less than about 5 x 10 to the -17th solar mass). Unstable p-modes convert 10 to the 29th ergs/s of the radiative flux before becoming strongly nonlinear. It is suggested that the acoustic flux is generated by the random-phase resonant interaction between these modes and the traveling waves. Such an interaction is expected to be the dominant nonlinear effect leading to statistical equilibrium. Title: Book-Review - Nonradial and Nonlinear Stellar Pulsation Authors: Hill, H. A.; Dziembowski, W. A.; Deupree, R. G. Bibcode: 1982ApL....22...79H Altcode: No abstract at ADS Title: Nonlinear mode coupling in oscillating stars. I - Second order theory of the coherent mode coupling. Authors: Dziembowski, W. Bibcode: 1982AcA....32..147D Altcode: The importance of mode coupling in the theory of stellar pulsation has been recognized by several researchers. Dziembowski (1980) has argued that differences concerning the behavior of dwarf and giant-type pulsators are related to differences in amplitude limiting effects, which in the case of dwarf pulsators is mode coupling. The present investigation has the objective to provide a theoretical background for the studies of mode interaction in various stars, taking into account the sun and other main sequence variables, multimodal Cepheids and RR Lyrae, and ZZ Ceti stars. It is assumed that only two or three modes take part in the interaction. Attention is given to equations for amplitude changes of the interacting modes, a suitable formula for the coupling coefficient, the parametric resonance instability, the resonant generation of a higher-frequency mode, and an equilibrium solution. Title: Book-Review - Nonradial and Nonlinear Stellar Pulsation Authors: Dziembowski, W. A.; Hill, H. A.; Fadeev, Y. A. Bibcode: 1981SvA....25..751D Altcode: No abstract at ADS Title: Excitation of gravity modes in white dwarfs with chemically stratified envelopes Authors: Dziembowski, W.; Koester, D. Bibcode: 1981A&A....97...16D Altcode: The vibrational instability of white dwarf models is investigated, taking into account effects of gravitational separation of elements. It is pointed out that the models consist of a carbon core, helium zone, and hydrogen outer layer separated by transition regions, the abundance profile being determined by the diffusion equilibrium. It is found that in the range of effective temperatures corresponding to the observed range for ZZ Ceti stars, the models are unstable against gravity modes when the total mass of hydrogen is less than approximately 1.2 x 10 to the -13 solar mass. The unstable modes are found to correspond to low order spherical harmonics in the period range 100-1200 sec. Title: Book-Review - Nonradial and Nonlinear Stellar Pulsations - Tucson - 1979MAR Authors: Hill, H. A.; Dziembowski, W. A.; Wilcox, J. M. Bibcode: 1981Sci...211.1339H Altcode: No abstract at ADS Title: Book Review - Nonradial and Nonlinear Stellar Pulsations Authors: Hill, H. A.; Dziembowski, W. A.; de Jager, C. Bibcode: 1981SSRv...28Q.112H Altcode: No abstract at ADS Title: On the Excitation Mechanism in Beta-Cephei Variables Authors: Dziembowski, W.; Kubiak, M. Bibcode: 1981AcA....31..153D Altcode: The driving effect of He^+ ionization edge suggested by Stellingwerf is investigated for both radial and nonradial modes. For the nonradial modes, corresponding to spherical harmonics of low l-values, the driving effect is almost identical as for radial modes of the same frequency. The effect as calculated on the basis from the present opacity data is insufficient to cause instability, but the assumption that it is actually responsible for excitation offers a natural explanation of all major properties of beta Cephei stars. The absence of observational data on variability among initial main-sequence objects may be a consequence of high values of l of the excited modes. Title: Book-Review - Nonradial and Nonlinear Stellar Pulsation - Workshop - Tucson - 1979MAR12-16 Authors: Hill, H. A.; Dziembowski, W. A.; Heinzel, P. Bibcode: 1981BAICz..32..254H Altcode: No abstract at ADS Title: Book-Review - Nonradial and Nonlinear Stellar Pulsation Authors: Hill, H. A.; Dziembowski, W. A.; Rudiger, G. Bibcode: 1981AN....302..323H Altcode: No abstract at ADS Title: On the Excitation Mechanism in Beta-Cephei Variables Authors: Dziembowski, W.; Kubiak, M.; Groupe Etoiles Variables de L'Observatoire de Nice Bibcode: 1981pbs..work..357D Altcode: No abstract at ADS Title: Book-Review - Nonradial and Nonlinear Stellar Pulsation Authors: Hill, H. A.; Dziembowski, W. A. Bibcode: 1981S&T....61R.342H Altcode: No abstract at ADS Title: Delta Scuti variables - The link between giant- and dwarf-type pulsators Authors: Dziembowski, W. Bibcode: 1980LNP...125...22D Altcode: 1980nnsp.work...22D An attempt is made to interpret the differences in pulsational behavior between horizontal branch and main sequence (or early post-main sequence) variables. Results of linear stability studies for delta Scuti stars are reviewed and supplemented with new calculations. The function of the opacity mechanism in generating instability to a variety of radial and nonradial modes is discussed. The highest excitation rates for these variables, though still much lower than in the case of Cepheids, are found in fundamental modes with higher spherical harmonic orders, l, and among higher overtones with low values of l. It is argued that amplitudes in delta Scuti stars are limited by nonlinear mode coupling, resulting in lower amplitudes and multiperiodicity, rather than by saturation of the opacity mechanism as is the case with horizontal branch variables. Title: White Dwarf Pulsations Authors: Dziembowski, W. A. Bibcode: 1980HiA.....5..469D Altcode: No abstract at ADS Title: Comments on Gravity Mode Excitation Mechanisms Authors: Dziembowski, W. Bibcode: 1980LNP...125..272D Altcode: 1980nnsp.work..272D No abstract at ADS Title: How deep is the solar convection zone Authors: Christensen-Dalsgaard, J.; Dziembowski, W.; Gough, D. Bibcode: 1980LNP...125..313C Altcode: 1980nnsp.work..313C The interpretation by Hill and Caudell (1979) of some of their solar oscillation data as being due to g modes of degree greater than 20 seems to imply that the solar convection zone is much shallower than that in standard solar models, probably representing only a few percent of the radius. It is here attempted to match the observed periods in models of this nature; the rather complicated spectrum of oscillations in such models can be understood in terms of the asymptotic behavior of modes of large degree. Possible excitation mechanisms for the modes are briefly discussed. Title: Nonradial and nonlinear stellar pulsation : proceedings of a workshop held at the University of Arizona in Tucson, March 12-16, 1979 Authors: Hill, H. A.; Dziembowski, W. A. Bibcode: 1980LNP...125.....H Altcode: 1980nnsp.work.....H These contributed and invited papers span theoretical problems and provide new observational material on nonradial and nonlinear stellar pulsations. Main groupings of papers deal with delta Scuti stars, beta Cephei and other early-type variables, degenerate stars, and the sun itself. The solar oscillations are covered by papers with observational evidence, excitation mechanisms, and boundary conditions used in pulsation theory. Title: Vibrational Instabilities and Pulsational Properties of Cool White Dwarfs Authors: Dziembowski, W. Bibcode: 1979wdvd.coll..359D Altcode: 1979IAUCo..53..359D Attention is focused on those aspects of the theory that may be relevant in understanding the nature of ZZ Ceti-type variable white dwarfs. Recent calculations show that the opacity mechanism can drive a large variety of oscillation modes, including the ones that fit observed periods. An estimate of nonlinear effects shows that resonant mode coupling plays a dominant role in determining the finite amplitude behavior of oscillations and is also probably responsible for rapid amplitude changes observed in these variables. Title: The Stability of Accreting White Dwarfs in Close Binary Systems (Abstract) Authors: Sienkiewicz, R.; Dziembowski, W. Bibcode: 1978necb.conf..169S Altcode: No abstract at ADS Title: On Solar Gravity Modes of High Order Spherical Harmonics Authors: Dziembowski, W.; Pamjatnykh, A. A. Bibcode: 1978pfsl.conf..135D Altcode: 1978ESPM....2..135D No abstract at ADS Title: Nuclei of Planetary Nebulae in the Pulsation Instability Strip Authors: Dziembowski, W. Bibcode: 1977ivsw.conf..342D Altcode: 1977IAUCo..42..342D No abstract at ADS Title: Light and radial velocity variations in a nonradially oscillating star. Authors: Dziembowski, W. Bibcode: 1977AcA....27..203D Altcode: Formulae for light and radial velocity variations are derived in terms of solution of the linear oscillations equations. A possibility of observational identification of the oscillation mode is discussed. It is shown that nonradial oscillations cannot be distinguished from the radial ones on the basis of the amplitude ratios of radial velocity and light variations. Instead, the use of the Baade-Weselink method is recommended. For stars with known radii, this method permits to determine the spherical harmonic order of the oscillation. Title: Stability of Accreting White Dwarfs in Close Binary Systems Authors: Sienkiewicz, R.; Dziembowski, W. Bibcode: 1977ivsw.conf..327S Altcode: 1977IAUCo..42..327S No abstract at ADS Title: Oscillating white dwarfs. Authors: Dziembowski, W. Bibcode: 1977AcA....27....1D Altcode: Vibrational instability toward linear nonradial nonadiabatic oscillations is investigated for two 0.6-solar-mass white dwarf models with effective temperatures around 10,000 K and containing hydrogen- and helium-rich envelopes. Convective flux is ignored, but radiative and molecular heat diffusion are taken into account. The atmospheric velocity field is determined for each model along with variations in emergent flux, luminosity, and radial velocity. The results show that the basic vibrational-instability mechanism for variable white dwarfs is the same as that for classical pulsating variables and that the dwarfs may be considered as an extension of the Cepheid instability strip to the highest effective temperatures and surface gravities. Some differences in the oscillation properties of white dwarfs and giants are noted which suggest that nonlinear coupling between self-excited modes corresponding to high-order spherical harmonics is responsible for the excitation of g-modes associated with low-order harmonics. Title: Oscillations of giants and supergiants. Authors: Dziembowski, W. Bibcode: 1977AcA....27...95D Altcode: It is shown that nonradial oscillations of giant and supergiant stars may be rapidly excited by a mechanism operating in outer layers. The excited modes have a negligible amplitude in the deep interior and with the use of proper boundary conditions they may be studied for unfitted envelope models. It is further shown that the vibrational instability due to radiative transfer in semiconvective zones located in deep interior results in local progressive wave excitation. The latter effect has no direct relevance to oscillations in outer layers Title: The Mass and Evolutionary Status of AI Vel-Type Variables Authors: Dziembowski, W. Bibcode: 1975IAUS...67..251D Altcode: Proposed evolutionary models of AI Velorum variables are reviewed, and further arguments are offered that these variables are about 0.2 solar mass stars evolving with a roughly constant luminosity toward the white dwarf stage after having lost most of their mass during the red giant phase. Such pre-white-dwarf configurations contain most of their mass in a degenerate helium core, but their luminosity is due almost exclusively to shell hydrogen burning. Title: Excitation of Nonradial Oscillations by Partial Ionization Zone Mechanism Authors: Dziembowski, W. A. Bibcode: 1975MSRSL...8..287D Altcode: 1975phs..conf..287D No abstract at ADS Title: Low Mass Models for the AI Velorum Stars Authors: Dziembowski, W.; Kozlowski, M. Bibcode: 1974AcA....24..245D Altcode: Results of static model construction and linear nonadiabatic calculations of pulsation properties for low mass (0.2-0.25 M_odot) stars in the pulsation instability strip are presented. The models have degenerate helium cores and represent pre-white dwarf evolution still governed by hydrogen burning in the shell. A comparison with observational data shows that such models are plausible for the AI Velorum variables, though a difficulty with values of period ratios determined for double mode pulsating objects is emphasized. Implications for the mass problem are discussed. Title: Vibrational Stability of 1 m_solar Star in the Phase of Central Hydrogen Burning Authors: Dziembowski, W. A.; Sienkiewicz, R. Bibcode: 1973AcA....23..273D Altcode: Dilke and Gough (1972) have proposed a model of occasional mixing of solar core to explain negative results of solar neutrino measurements and the geological ice ages. In their model, mixing results from nuclear-reaction driven vibrational instability dose not occur, as the effect of nuclear reactions on the stability of relevant stellar models is small. Title: Nonradial Oscillations of Evolved Stars. I. Quasiadiabatic Approximation Authors: Dziembowski, W. A. Bibcode: 1971AcA....21..289D Altcode: Linear oscillations of stars consisting of an extended envelope and a highly condensed core are investigated. For such stars, even high frequency modes become essentially internal gravity waves of short wavelength in deep stellar interior. A suitable method of solution of fourth order equation for adiabatic oscillations is described. Numerical solution for l=0 (radial pulsation) and l=2 modes have been obtained for a Cepheid model. Quasiadiabatic estimation of dissipation indicates that the Cepheid-type stars are vibrationally stable against nonradial perturbations. Title: Nonradial Problems in the Theory of Stellar Structure, Part III Authors: Dziembowski, W. Bibcode: 1968PoAst..16...45D Altcode: The first chapter of the article deals with the theory of star rotation. In particular the process of stabilization of angular velocity distribution inside the star, as well as cases of stationary distributions are discussed. The second chapter treats the flow in binary systems. The non-adiabatic flows in quasi-static approximation are taken into consideration. Title: Nonradial Problems in the Theory of Stellar Structure, Part II Authors: Dziembowski, W. Bibcode: 1967PoAst..15..175D Altcode: This article concerns the meridional circulation in rigidly rotating stars. The angular velocity changes caused by this circulation are discussed. Title: Non-radial Problems of the Theory of the Stellar Structure. Part I Authors: Dziembowski, W. Bibcode: 1967PoAst..15...53D Altcode: This article opens a series of articles devoted to the problems of the internal structure of stars for which the assumption of the spherical symmetry has to be abandoned. The article gives a discussion of the influence of rotation on the structure of the star. Particular attention is given on the nonexistence of the thermal equilibrium when an arbitrarily assumed distribution of the angular velocity inside the star is considered; in particular the case of a rigid rotation is considered. Title: Internal structure and evolutionary changes in binaries: Tidal friction in close binary systems Authors: Dziembowski, W. Bibcode: 1967oeds.conf..105D Altcode: No abstract at ADS Title: Pulsation of Stars Authors: Dziembowski, W. Bibcode: 1966PoAst..14..149D Altcode: The article contains a review of new progress in the theory of star pulsation. The main part of the paper deals with the problem of the origin of pulsation. This is investigated by small perturbation method of star models. The importance of a careful treatment of entropy changes is emphasized. Title: Application of the Tensor Virial Equation in Theory of Rotating Masses Authors: Dziembowski, W. Bibcode: 1964PoAst..12..235D Altcode: An outline is given of the works of S. Chandrasekhar and N.R. Lebovitz concerning stability and oscillations of the rotating masses. Application of the tensor virial equation to the stability problem of Maclaurin's spheroid and Jacobi's ellipsoid allows a more general approach and results are obtained faster that with the methods used previously. For the compressible masses this enables us to examine approximately the influance of the rotation on the oscillation frequencies, and in particular the influence of the rotation on star pulsations in the politropic approximation. Title: On the Equations of Internal Constitution of Components in Close Binaries Authors: Dziembowski, W. Bibcode: 1963AcA....13..157D Altcode: In the present paper, equations of the internal constitution of stable components in close binaries are deduced. The equation of equipotential surface was assumed of the form r=overline r(1+sum_i Y_i), where Y_i denotes the tesseral harmonics taken with respect to the centre of mass of a component. Their squares and higher powers were neglected as well as their changes within the period of revolution. The set of equations obtained is of the same form as for single stars. The independent variable is overline r - the mean distance of the equipotential surface from the centre of mass of the component. Dependent variables are: the pressure, temperature, flux of radiation and the mass of the portion of the star limited by a level surface.