Mathematics
Scientific paper
May 1979
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1979phdt.........5c&link_type=abstract
Ph.D. Thesis Princeton Univ., NJ.
Mathematics
1
Fokker-Planck Equation, Numerical Integration, Star Clusters, Stellar Evolution, Poisson Equation, Star Distribution, Stars (Mathematics), Stellar Gravitation
Scientific paper
A numerical method for studying the evolution of spherical star clusters is presented. The method employs direct numerical integration of the orbit averaged Fokker-Planck equation in energy angular momentum space to advance the stellar distribution in time. The gravitational potential, which is treated self consistently, is advanced by means of Poisson's equation and adiabatic invariant theory. Numerical results from a study of the evolution of Plummer's model are reported. The nature of core collapse in a one component cluster is addressed. Whether the structure of the core approaches a self similar state, and whether the evolution of the core is adequately described by the simple evaporative theory are discussed. The results tentatively suggest that the core collapse becomes homologous and asymptotically independent of the structure of the rest of the cluster.
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