Effects of differential rotation on the periods of small adiabatic oscillations of stars in binary systems.

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Binaries: Stellar Oscillations, Stellar Models: Stellar Rotation, Rotating Stars: Stellar Oscillations

Scientific paper

Presents a method for computing the eigenfrequencies of small adiabatic oscillations of stellar models distorted by differential rotation and tidal forces. The method is based on the approach adopted by Mohan and Singh (1982) in conjunction with the averaging concept introduced by Kippenhahn and Thomas (1970). The angular velocity of rotation is assumed to be the function of the square of the distance of fluid element from the axis of rotation. Tidal distortions are assumed to be caused by a nearby point mass. Such studies have practical importance in astrophysics in determining the periods of small adiabatic oscillations of differentially rotating stars in binary systems. Comparison of results with observational data is also presented.

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