The Roche coordinates in non-synchronous binaries

Statistics – Computation

Scientific paper

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Binary Stars, Roche Limit, Stellar Atmospheres, Stellar Rotation, Stellar Spectra, Stellar Winds, Computational Astrophysics, Radiative Heat Transfer, Spherical Coordinates

Scientific paper

The Cayley-Darboux (1872 and 1898) problem for the Roche model of binaries is studied. Roche coordinates are defined as continuations of asymptotically spherical coordinates which are perpendicular to the equipotential layers, but not mutually perpendicular. These coordinates are then obtained in the form of a power series of potential for the general case of nonsynchronous binaries with eccentric orbits.

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