Stellar stability in close binary systems

Astronomy and Astrophysics – Astronomy

Scientific paper

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Astronomical Models, Binary Stars, Dynamic Stability, Roche Limit, Stellar Structure, Adiabatic Conditions, Convective Flow, Orbital Mechanics, Stellar Atmospheres

Scientific paper

The linear adiabatic stability of stars in close binary systems is discussed. Both spherical and Roche geometries are considered. Two destabilizing influences are shown to exist. These are related to previously discussed instability mechanisms. Examination of the stability of models nearly filling the critical equipotential shows that the boundary condition used by Bath (1972) is the most appropriate one to use in the spherical case. Detailed Roche models are constructed, and their stability properties determined. It is concluded that dynamical instabilities may be important in dwarf novae, slow novae, and the binary symbiotic stars.

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