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Theory of Amplitude Modulation II. The Resonant Mode Interaction Model

Published online by Cambridge University Press:  12 April 2016

Tim Van Hoolst*
Affiliation:
Royal Observatory of Belgium, Ringlaan 3, B-1180 Brussels, BelgiumInstitute of Astronomy, Katholieke Universiteit Leuven, Celestijnenlaan 200B, B-3001 Leuven, Belgium

Abstract

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With about one fourth of the RRab stars showing the Blazhko effect, amplitude modulation on long time scales is a common phenomenon in stellar pulsation. The role of nonradial oscillation modes is studied here, and it is proposed that the amplitude modulation is a result of a dynamical, nonlinear resonance between the observed radial mode and a low-degree nonradial mode. In this scenario, a nonradial mode is resonantly excited in Blazhko-type RR Lyrae stars. Degree one modes are found to have the highest probability of being excited and a crucial test of the model would be the observational determination of the degree of the proposed nonradial mode.

Type
Part 4. Blazhko Phenomenon
Copyright
Copyright © Astronomical Society of the Pacific 2000

References

Borkowski, K.J. 1980, Acta Astron., 30, 393 Google Scholar
Buchler, J.R. 1993, in Non-linear Phenomena in Stellar Variability, ed. Takeuti, M. & Buchler, J.-R. (Dordrecht: Kluwer), 9 Google Scholar
Buchler, J.R., Goupil, M.-J., & Hansen, C.J. 1997, A&A, 321, 159 Google Scholar
Dziembowski, W.A. & Cassisi, S. 1999, Acta Astron., 49, 371 Google Scholar
Dziembowski, W.A. & Cassisi, S. 2000, in these proceedings, p. 321CrossRefGoogle Scholar
Dziembowski, W., Królikowska, M., & Kosovitchev, A. 1988, Acta Astron., 38, 61 Google Scholar
Kluyver, H.A. 1936, Bull. Astron. Inst. Neth., 7, 313 Google Scholar
Kovács, G. 1995, A&A, 295, 693 Google Scholar
Kovács, G., Alcock, C., Allsman, R., et al. 2000, in these proceedings, p. 313Google Scholar
Moskalik, P. 1986, Acta Astron., 36, 333 Google Scholar
Osaki, Y. 1977, PASP, 29, 234 Google Scholar
Peterson, R.C., Carney, B.W., & Latham, D.W. 1996, ApJ, 465, L47 Google Scholar
Shibahashi, H. 2000, in these proceedings, p. 299CrossRefGoogle Scholar
Shibahashi, H. & Takata, M. 1995, in ASP Conf. Ser. Vol. 83, Proc. IAU Coll. No. 155, Astrophysical Applications of Stellar Pulsation, ed. Stobie, R.S. & Whitelock, P.A. (San Francisco: ASP), 42 Google Scholar
Van Hoolst, T., Dziembowski, W.A., & Kawaler, S.D. 1998, MNRAS, 297, 536 CrossRefGoogle Scholar