The distribution of stars around a black hole - Numerical solution of the kinetic equation with collisions

Details The distribution of stars around a black hole - Numerical solution of the kinetic equation with collisions The distribution of stars around a black hole - Numerical solution of the kinetic equation with collisions

Sep 1982

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1982a%26a...113..179b&link_type=abstract

Astronomy and Astrophysics, vol. 113, no. 2, Sept. 1982, p. 179-191.

Astronomy and Astrophysics

Astronomy

8

Black Holes (Astronomy), Kinetic Equations, Particle Collisions, Star Distribution, Stellar Models, Boundary Value Problems, Distribution Functions, Fokker-Planck Equation, Galactic Nuclei, Landau Factor, Quasars, Stellar Gravitation, Stellar Motions

Scientific paper

The distribution of stars around a massive black hole is investigated by numerical solution of the kinetic equation with the collisional term in the form of Landau-Fokker-Planck. The choice of the independent variables of the problem corresponds to the spherical symmetry in the space. The boundary distribution function is given at the outer radius of the cluster. It is found, that when outer radius is equal to 20 capture radii, then the density distribution n(r) strongly depends on the boundary distribution. When the outer radius is much greater than 20 capture radii, the distribution n(r) approximately equals r to the -1.5. In this case, the solution is obtained by taking into account the penetration of stars into the loss cone. The stellar flux into the black hole is calculated.

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