Astronomy and Astrophysics – Astrophysics
Scientific paper
Dec 1974
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1974apj...194..687d&link_type=abstract
Astrophysical Journal, vol. 194, Dec. 15, 1974, pt. 1, p. 687-693.
Astronomy and Astrophysics
Astrophysics
4
Adiabatic Conditions, Eigenvalues, Oscillations, Stellar Structure, Thermal Instability, Astronomical Models, Linear Equations, Nonadiabatic Theory, Partial Differential Equations, Secular Variations, Stellar Motions
Scientific paper
An analysis of the linearized pulsation equation for quasi-adiabatic radial oscillations of stars in thermal imbalance shows that the integral expressions derived by Cox, Hansen, and Davey yield the correct eigenvalues for an arbitrary stellar model even in the case of nonhomologous secular motion. Explicit expressions for the growth rates for all modes in the case of homologous secular motion are derived directly from the differential equation for two simple analytic stellar models: the homogeneous and inverse-square models. Eigensolutions are also obtained for one example of nonhomologous secular motion and confirm the result for this case obtained by Aizenman and Cox using an asymptotic approach.
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