Structure and oscillations of rotating polytropes

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Perturbation Theory, Polytropic Processes, Stellar Models, Stellar Oscillations, Stellar Rotation, Stellar Structure, Dynamic Stability, Equilibrium Equations, Stellar Mass, White Dwarf Stars

Scientific paper

A reexamination of the first-order perturbation theory of Chandrasekar (1933) with a view of finding a sequence of rotating polytropes of fixed mass shows that the value of n at which dynamic instability begins decreases, due to rotation. A simple expression is obtained for the pulsation mode frequency of a rotating star, and the function psi0(xi) is expressed in terms of the Emden function theta(xi)

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