A self-consistent model of rich clusters of galaxies. I - The galactic component of a cluster

Astronomy and Astrophysics – Astrophysics

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Boundary Value Problems, Galactic Clusters, Gravitation Theory, Self Consistent Fields, Algorithms, Astronomical Models, Computer Programs, Galactic Structure

Scientific paper

It is shown that to obtain the distribution function for the galactic component of a cluster reduces in the last analysis to solving the boundary-value problem for the gravitational potential of a self-consistent field. The distribution function is determined by two main parameters. An algorithm is constructed for the solution of the problem, and a program is set up to solve it. It is used to establish the region of values of the parameters in the problem for which solutions exist. The scheme proposed is extended to the case where there exists in the cluster a separate central body with a known density distribution (for example, a cD galaxy). A method is indicated for the estimation of the parameters of the model from the results of observations of clusters of galaxies in the optical range.

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