Effect of rotation and tidal distortions on the structure of polytropic stars

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Polytropic Processes, Stellar Rotation, Stellar Structure, Tides, Distortion, Equipotentials, Stellar Models

Scientific paper

The method proposed by Kippenhahn and Thomas (1970) for determining the structure of a spherical star distorted by the effects of rotation and tidal forces is summarized. A description is then given of Kopal's (1972) technique for determining the shapes, surface areas, volumes, etc. of the equipotential surfaces of a distorted star whose equipotential surfaces have been approximated by Roche equipotentials. The techniques described are then used to determine the inner structure, the volumes, and the surface areas of rotationally and tidally distorted polytropic models. The numerical results obtained are compared with the corresponding results of earlier investigators using other approaches. The approach developed here is valid so long as the angular velocity of rotation and the mass of the secondary star are not unduly large and the primary star is well within the Roche lobe.

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