On the Roche constants for main-sequence binaries

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Binary Stars, Main Sequence Stars, Roche Limit, Stellar Evolution, Equipotentials, Mass Ratios, Radii, Stellar Models

Scientific paper

The ratios C1/C2 of the constants defining the equipotential surfaces which describe the external shapes of the components of a close binary system have been calculated on the basis of evolutionary models. Theoretical systems have been considered, allowing for a wide range of input parameters (masses and separation) and taking into account the evolutionary effects on the radii of the stars during their main-sequence lifetime. The systems have not undergone any mass transfer and are representative of detached binaries with main-sequence components. The ratios of the constants are confined to limited intervals and, for the highest values of the mass ratio, they are clustered around unity.

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