The structure of synchronously rotating close binaries built on polytropic model nu = 3

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Astronomical Models, Binary Stars, Mathematical Models, Polytropic Processes, Stellar Rotation, Stellar Structure, Dynamic Stability, Poisson Equation, Spherical Harmonics, Synchronism, Tides

Scientific paper

Mathematical procedures are developed which can provide an exact solution for the structure of synchronously rotating close binaries built on the polytropic model with nu equal to 3. Results are discussed for separations of centers of 10.0, 4.0, 3.0, and 2.8 solar radii. For the present discussion, both components are assumed to have the solar mass and, in the zeroth approximation, the solar radius. The present results are compared with those obtained by Chandrasekhar (1933) using first-order perturbation theory.

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