Mathematics – Logic
Scientific paper
Jul 1990
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1990eahm.book.....l&link_type=abstract
Ein anisotropes homologes Modell für den Core-Kollaps in Sternhaufen., by Louis, P. D.. Technische Univ. München, Garching (Germ
Mathematics
Logic
2
Scientific paper
The author describes a new method for computing the quasi-stationary evolution of spherical star clusters, which is based on moment equations of Boltzmann's equation. The deficiency of high velocity stars and the anisotropic velocity distribution, both of which are distinctive features of real stellar systems, are approximated by single parameters. The effects of gravitational encounters between individual stars are represented by collision terms in the moment equations which are considered up to fourth order in this treatment. Using heuristic algebraic relations between the flux velocities the moment equations are closed at fifth order. The model is applied to the phenomenon of core collapse in one-component star clusters. The ordinary differential equations for self-similar evolution are derived and the eigenvalue problem for pre-collapse is solved. In the isotropic version the author finds a power-law index and a core collapse rate which are in reasonable agreement with existing homological models. The anisotropic model is characterized by a somewhat steeper density profile, a considerably reduced value for the core collapse rate and moderate anisotropy in the outer parts of the halo. The effects of modifying the equations of this approximative model are discussed in detail and the discrepancies between Larson's calculations and other models including anisotropy are resolved.
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