Accurate integrations of the Roche model

Astronomy and Astrophysics – Astrophysics

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Binary Stars, Roche Limit, Stellar Models, Astrometry, Astronomical Catalogs, Cartesian Coordinates, Mass Ratios, Stellar Mass, Stellar Rotation

Scientific paper

The Roche model for close binary systems in synchronous rotation is accurately integrated to give volume radii, surface areas, mean gravities, and mean inverse gravities in normalized units. The range of fill-out is 0.2 ≤ F ≤ 2.0, and for smaller fill-out factors a simple analytical approximation is adequate. The mass ratio range is 0.04 ≤ q ≤ 1.0. A table of contact potentials is given for 0.01 ≤ q ≤ 1.0.

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