Tidal interactions in binary stellar systems

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Binary Stars, Celestial Mechanics, Roche Limit, Stellar Motions, Stellar Systems, Tides, Adiabatic Conditions, Energy Distribution, Momentum Transfer

Scientific paper

The tidal interactions in binary stellar systems are studied under the assumption that the orbital motion of the binary is negligible in comparison with the stellar motion. By integrating over time the tidal forces acting on the stars, the energy changes are derived. These are used to obtain simple analytical expressions for the rates of disruption and merging. This method gives appropriate value for the Roche density rho(R), and it is found that the disruption rate of a satellite of density rho changes drastically at rho = approximately rho(R). A comparison is made with the results of Alladin and Parthasarathy (1978), obtained under the simplifying assumption that stellar motion is negligible in comparison with the orbital motion of the binary, and its implications are discussed.

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