Conservative Two-Body Problem with Variable Masses

Details Conservative Two-Body Problem with Variable Masses Conservative Two-Body Problem with Variable Masses

Aug 2005

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2005astl...31..563l&link_type=abstract

Astronomy Letters, vol. 31, Issue 8, p.563-568

Astronomy and Astrophysics

Astronomy

5

Two-Body Problem With Variable Masses - Gylden-Mestschersky Problem - Center-Of-Mass Motion - Close Binary Stars

Scientific paper

We consider the conservative two-body problem with a constant total mass, but with variable individual masses. The problem is shown to be completely integrable for any mass variation law. The Keplerian motion known for the classical two-body problem with constant masses remains valid for the relative motion of the bodies. The absolute motions of the bodies depend on the center-of-mass motion. Hitherto unknown quadratures that depend on the mass variation law were derived for the integrals of motion of the center of mass. We consider some of the laws that are of interest in studying the motion of close binary stars with mass transfer.

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