The formation and evolution of tidal binary systems

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Binary Stars, Main Sequence Stars, Star Formation, Stellar Evolution, Stellar Oscillations, Tides, Energy Dissipation, Globular Clusters, Polytropic Processes, Stellar Envelopes, Stellar Models, Stellar Structure

Scientific paper

Cross sections for the tidal capture binary formation process are calculated for a variety of stellar models. The formalism used in the determination of the energy dissipated by a close encounter between two unbound stars and the associated capture cross sections are reviewed. The case of an n = 3/2 polytropic structure is calculated with the formalism, and the behavior of realistic stellar models is considered, including Population II main-sequence stars with masses of 0.4, 0.8, and 1.5 solar. The calculation is repeated for a 'slightly evolved' 0.8 solar mass star just as it begins to leave the main sequence, and the behavior of more evolved stars is discussed. A quasi-adiabatic analysis is used to estimate the time scale on which the pulsation energy is actually dissipated internally or radiated away. This analysis also indicates where in the star most of the dissipation takes place, allowing the stellar response to be estimated by including the heating in the equations of stellar structure.

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