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Resonant Excitation of Nonradial Modes in RR Lyr Stars

Wybrane pełne teksty z tego czasopisma
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Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
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 RR Lyr stars. If this model is correct, the modulation period is determined by the rotation rate and the Brunt-Väisälä frequency in the deepest part of the radiative interior.
Czasopismo
Rocznik
Strony
5--47
Opis fizyczny
Bibliogr. 31 poz., rys., wykr.
Twórcy
  • Nicolaus Copernicus Astronomical Center, ul. Bartycka 18, 00-716 Warsaw, Poland
  • Nicolaus Copernicus Astronomical Center, ul. Bartycka 18, 00-716 Warsaw, Poland
  • Warsaw University Observatory, Al. Ujazdowskie 4, 00-478 Warsaw, Poland
Bibliografia
  • Aerts, C., and Eyer, L. 2000, “Delta Scuti and Related Stars”, ASP Conf. Ser., 210, Eds. M. Breger and M. Montgomery, p. 113.
  • Alcock, C., et al. 2000, Astrophys. J., 542, 257.
  • Blazhko, S. 1907, Astron. Nachr., 175, 325.
  • Buchler, J.R., and Goupil, M.J. 1984, Astrophys. J., 279, 394.
  • Buchler, J.R., Goupil, M.J., and Hansen, C.J. 1997, Astron. Astrophys., 321, 159.
  • Buchler, J.R., Goupil, M.J., and Serre, T. 1995, Astron. Astrophys., 296, 405.
  • Chadid, M., Kolenberg, K., Aerts, C., and Gillet, D. 1999, Astron. Astrophys., 352, 201.
  • Dziembowski, W.A. 1977a, Acta Astron., 27, 95.
  • Dziembowski, W.A. 1977b, Acta Astron., 27, 203.
  • Dziembowski, W.A. 1982, Acta Astron., 32, 147.
  • Dziembowski, W.A., and Cassisi, S. 1999, Acta Astron., 49, 371.
  • Dziembowski, W.A., and Królikowska, M. 1985, Acta Astron., 35, 5.
  • Garrido, R. 2000, “Delta Scuti and Related Stars”, ASP Conf. Ser., 210, Eds. M. Breger and M. Montgomery, p. 67.
  • Jurcsik, J., and Kovács, G. 1996, Astron. Astrophys., 312, 111.
  • Kovács, G. 1993, “Stochastic Processes in Astrophysics”, Annals of New York Academy of Sciences, 706, Eds. J.R. Buchler and H.E. Kandrup, p. 70.
  • Kovács, G. 2000, “Nonlinear Studies of Stellar Pulsation”, Eds. M. Takeuti and D.D. Sasselov, Astrophysics and Space Science Library Series, Kluwer (in press).
  • Kovács, G., and Buchler, J.R. 1988, Astrophys. J., 324, 1026.
  • Kovács, G., and Jurcsik, J. 1996, Astrophys. J. Letters, 466, L17.
  • Kurtz, D.W., et al. 2000, “The Impact of Large-Scale Surveys on Pulsating Star Research”, ASP Conf. Ser., 203, Eds. L. Szabados and D. Kurtz, p. 291.
  • Moskalik, P. 1986, Acta Astron., 36, 333.
  • Osaki, Y. 1977, PASJ, 29, 234.
  • Peterson, R.C., Carney, B.W., and Latham D.W. 1996, Astrophys. J. Letters, 465, L47.
  • Shibahashi, H., and Takata, M. 1995, in: "GONG’94: Helio- and Asteroseismology", ASP Conf. Ser, Vol. 76, Eds. R.K. Ulrich, E.J. Rhodes, Jr., and W. Dáppen, p. 618.
  • Shibahashi, H. 2000, “The Impact of Large-Scale Surveys on Pulsating Star Research”, ASP Conf. Ser., 203, Eds. L. Szabados and D. Kurtz, p. 299.
  • Szeidl, B. 1988, “Multimode Stellar Pulsations”, Eds. G. Kovács, L. Szabados, B. Szeidl, Konkoly Observatory, Kultura, Budapest, p. 45.
  • Unno,W., Osaki, Y., Saio, H., and Shibahashi, H. 1989, “Nonradial Oscillations of Stars”, University of Tokyo Press.
  • Van Hoolst, T. 1992, “Nonlinear, Nonradial Oscillations of Stars. Resonances Between Two Modes with Nearly Equal Frequencies”, PhD thesis, Katholieke Universiteit, Leuven.
  • Van Hoolst, T. 1994, Astron. Astrophys., 292, 471.
  • Van Hoolst, T., Dziembowski, W.A., and Kawaler, S.D. 1998, MNRAS, 297, 536.
  • Van Hoolst, T., and Waelkens, C. 1995, Astron. Astrophys., 295, 361.
  • Wersinger, J.M., Finn, J.M., and Ott, E. 1980, Physics of Fluids, 23, 1142.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-cae8f664-d4a8-4552-9c96-f83e867cbdad
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