Effects of differential rotation of the periods of small adiabatic oscillations of stars in binary systems (Q1911893)

We present a method for computing the eigenfrequencies of small adiabatic oscillations of stellar models distorted by differential rotation and tidal forces. The angular velocity of rotation is assumed to be a 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.