Astronomy and Astrophysics – Astronomy
Scientific paper
Mar 1980
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1980aj.....85..249r&link_type=abstract
Astronomical Journal, vol. 85, Mar. 1980, p. 249-264.
Astronomy and Astrophysics
Astronomy
11
Binary Stars, Energy Distribution, Star Clusters, Star Distribution, Kinetic Equations, Stellar Evolution, Stellar Models
Scientific paper
The paper studies the evolution of the binding-energy distribution of hard binaries in a stellar medium that is uniform in space and constant in time. Solutions of the appropriate kinetic equations are obtained, using the three-body encounter rates of Heggie (1975, 1978). An analytical solution of self-similar form is calculated that can be applied to very hard binaries. A solution valid for all energies is calculated numerically. The fluctuations in the distribution, due to the stochastic nature of binary creation and evolution, are analyzed. The creation rate as a function of energy is obtained for the binaries that form in two-body, tidally dissipative encounters. This rate is combined with the three-body encounter rates to calculate how the energy distribution of the tidal binaries evolves.
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