Astronomy and Astrophysics – Astrophysics
Scientific paper
Apr 1984
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984apj...279..394b&link_type=abstract
Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 279, April 1, 1984, p. 394-400.
Astronomy and Astrophysics
Astrophysics
84
Astrophysics, Stellar Models, Stellar Oscillations, Variable Stars, Amplitudes, Differential Equations, Nonadiabatic Conditions, Perturbation Theory, Vibration Mode
Scientific paper
A nonadiabatic perturbation formalism which reduces the study of the nonlinear pulsations of a given stellar model to the study of a small set of ordinary differential (amplitude) equations is presented. The formalism does not require the oscillations to be quasi-adiabatic, but requires only that the linear growth rate of the excited vibrational modes be small compared to their frequencies and that the nonlinearities be weak. The amplitude equations are derived for some specific cases of astrophysical interest, namely for the nonresonant single- and double-mode cases and for the resonant double- and triple-mode cases, and it is shown how the coefficients of these equations can be computed for a given stellar model.
Buchler Jean-Robert
Goupil Marie Jo
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