Notices to investigation of symbiotic binaries. III. Approximation of the Roche lobe parameters for asynchronously rotating star in a binary system

Details Notices to investigation of symbiotic binaries. III. Approximation of the Roche lobe parameters for asynchronously rotating star in a binary system Notices to investigation of symbiotic binaries. III. Approximation of the Roche lobe parameters for asynchronously rotating star in a binary system

Feb 2005

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2005coska..35...17c&link_type=abstract

Contributions of the Astronomical Observatory Skalnaté Pleso, vol. 35, no. 1, p. 17-22.

Astronomy and Astrophysics

Astronomy

4

Stars: Binaries, Roche Potential, Asynchronous Rotation

Scientific paper

We derive approximative analytical formulas for the basic parameters of the Roche lobe, its radius and the position of the L1-point, for asynchronously rotating component in a binary system. Our solution is valid in the range of the mass ratio 0.1 < q < 10 and the parameter 1 ≤ p ≤ 20 (p = Porb/Prot). Deviations between numerical solution and that given by our analytical approximation are less than 7%.

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