Adiabatic oscillations of a differentially-rotating star - Second-order perturbation theory

Physics

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Adiabatic Conditions, Coriolis Effect, Perturbation Theory, Stellar Oscillations, Stellar Rotation, Angular Velocity, Gravitational Effects, Hermitian Polynomial, Velocity Distribution

Scientific paper

Perturbation theory is developed for calculating the influence of slow differential rotation on the adiabatic nonradial modes of stellar oscillations. The effects of Coriolis forces and ellipticity are analysed simultaneously using the perturbation technique for Hermitian operators which is developed up to the second order in eigenvalues and to the first order in eigenvectors.

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