Hostname: page-component-78c5997874-g7gxr Total loading time: 0 Render date: 2024-11-14T23:45:12.025Z Has data issue: false hasContentIssue false

Resonance Between Pulsation Modes Due to Tidal Perturbation

Published online by Cambridge University Press:  07 August 2017

Z. Kolláth
Affiliation:
Konkoly Observatory P.O. Box 67 H-1525 Budapest Hungary
J. Nuspl
Affiliation:
Konkoly Observatory P.O. Box 67 H-1525 Budapest Hungary

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

The effect of tidal perturbation to stellar pulsation is a relatively underdeveloped problem in the theory of variable stars. We derive amplitude equations describing the resonances between pulsational modes and orbital motion taking into consideration the rotation of stars as well. In the case of δ Scuti stars the two-mode-tidal resonance was found to be the most powerful effect. If the difference between frequencies of excited and damped mode is close to the orbital frequency, parametric excitation of the damped mode may occur, while the other mode loses energy. We discuss this effect for a wide range of parameters.

Type
Oral and Contributed Papers
Copyright
Copyright © Kluwer 1992 

References

Buchler, J. P. and Goupil, M.-J.: 1984, Astrophys. J. , 279, 394.CrossRefGoogle Scholar
Cowling, T. G.: 1941, M.N.R.A.S. , 101, 367.CrossRefGoogle Scholar
Dziembowski, W.: 1982, Acta Astron. , 32, 147.Google Scholar
Dziembowski, W. and Królikowska, M. and Kosovitchev, A.: 1988, Acta Astron. , 38, 61.Google Scholar
Dziembowski, W. and Królikowska, M.: 1985, Acta Astron. , 35, 5.Google Scholar
Linden-Bell, D. and Ostriker, J.P.: 1967 M.N.R.A.S. , 136, 293.Google Scholar
Papaloizou, J. and Pringle, J.E.: 1981 M.N.R.A.S. , 196, 371.CrossRefGoogle Scholar
Zahn, J.-P.: 1977 Astron. Astrophys. , 57, 383.Google Scholar