Statistics – Applications
Scientific paper
Nov 1985
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985apj...298..502h&link_type=abstract
Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 298, Nov. 15, 1985, p. 502-520.
Statistics
Applications
52
Binary Stars, Globular Clusters, Reaction Kinetics, Scattering Cross Sections, Star Distribution, Astronomical Models, Galactic Evolution, Stellar Motions
Scientific paper
Estimates of the cross sections and reaction rates for a variety of dissipative processes governing the formation and evolution of a population of tidally captured binary stars are presented. Cross sections and reaction rates can be used to derive analytical estimates of the globular cluster evolution up to and beyond core collapse. In order to illustrate the analytical applications of the cross sections and reaction rates, the dominant deviations in the later stages of core collapse are determined based on a standard homologous model. Finite-size effects of reactions involving tidally formed close binaries were also studied, using point-mass dynamics as a first approximation. The cross sections and reaction rates are expressed in terms of a single free parameter - the degree of penetration required to make two stars merge during collisions at relative velocities which are comparable to the escape velocity from their surface.
Hut Piet
Inagaki Shio
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