Astronomy and Astrophysics – Astronomy
Scientific paper
Apr 1982
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1982azh....59..228p&link_type=abstract
(Astronomicheskii Zhurnal, vol. 59, Mar.-Apr. 1982, p. 228-236.) Soviet Astronomy, vol. 26, Mar.-Apr. 1982, p. 140-145. Transla
Astronomy and Astrophysics
Astronomy
6
Coulomb Collisions, Star Distribution, Stellar Motions, Stellar Systems, Distribution Functions, Fokker-Planck Equation, Globular Clusters, Hamilton-Jacobi Equation, Kinetic Equations, Relaxation (Mechanics), Self Consistent Fields, Star Clusters
Scientific paper
Kinetic equations for a distribution function averaged over the rapid, finite stellar motions are derived in order to obtain a general expression for the collision term applicable to a bounded stellar system with rare Coulomb encounters. A set of equations relating the stellar distribution function and the two-body correlation function is the starting point for deriving a kinetic equation for the averaged distribution function in action variables. The properties of the latter are discussed; it holds for stellar systems having any self-consistent potential which admits separation of variables in the Hamilton-Jacobi method. The collision term is reduced to Fokker-Planck form for a system which is spherically symmetric, has self-consistent potential, and in which the action variables are related to the energy, the absolute value of the angular momentum, and the z-projection of the momentum.
Polyachenko Valerij L.
Shukhman Ilia G.
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