Application of the generalized variational principle to self-similar solutions for the evolution of star clusters

Details Application of the generalized variational principle to self-similar solutions for the evolution of star clusters Application of the generalized variational principle to self-similar solutions for the evolution of star clusters

Dec 1992

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992pasj...44..623t&link_type=abstract

PASJ: Publications of the Astronomical Society of Japan (ISSN 0004-6264), vol. 44, no. 6, p. 623-631.

Other

8

Star Clusters, Stellar Evolution, Variational Principles, Fokker-Planck Equation, Globular Clusters

Scientific paper

A generalized variational method based on the concept of a 'local potential' was used to solve the orbit-averaged Fokker-Planck equation for stellar systems. We applied this method to two self-similar models for the evolution of isotropic stellar systems in order to test the usefulness of the method. One of the two models is for the core collapse stage; the other is for the postcollapse stage. The solutions obtained by the variational method approximate the exact solutions fairly well, though a problem of numerical accuracy remains.

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