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Title:
Binary-single-star scattering. V - Steady state binary distribution in a homogeneous static background of single stars
Authors:
Goodman, Jeremy; Hut, Piet
Affiliation:
AA(Princeton Univ. Observatory, NJ), AB(Inst. for Advanced Study, Princeton, NJ)
Publication:
Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 403, no. 1, p. 271-277. (ApJ Homepage)
Publication Date:
01/1993
Category:
Astrophysics
Origin:
STI
NASA/STI Keywords:
Binary Stars, Star Clusters, Stellar Physics, Astronomical Models, Computational Astrophysics, Fokker-Planck Equation, Probability Distribution Functions, Stellar Mass
DOI:
10.1086/172200
Bibliographic Code:
1993ApJ...403..271G

Abstract

We compute the rate at which hard (tightly bound) equal-mass binaries form in a homogeneous stellar background, as the solution of an integral equation describing the combined effects of creation, destruction, hardening, and softening of binaries. Most hard binaries are born very soft. The rate of energy production by hard binaries can be (and has already been) directly used in Fokker-Planck models for the evolution of globular clusters past core collapse. We also calculate the survival probability for a binary as a function of its binding energy, and the steady state distribution of binding energies.

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