The evolution of homogeneous ellipsoids, and the structure of rich clusters of galaxies

Astronomy and Astrophysics – Astronomy

Scientific paper

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Astronomical Models, Density Distribution, Elliptical Galaxies, Galactic Clusters, Galactic Evolution, Fourier Transformation, Particle Motion, Quasi-Steady States, Velocity Distribution

Scientific paper

The evolution of model systems consisting of some 10,000 gravitating mass points is investigated numerically for initial configurations approximating homogeneous oblate ellipsoids of revolution. The results obtained show that: (1) quasi-homogeneous nonrotating ellipsoids tend to evolve toward a common density profile and a common velocity-dispersion profile; (2) the final configuration is flattened; (3) rapid relaxation divides the particles in a system into two or more groups with respect to energy; and (4) if all the points of a system fall nearly simultaneously toward the center, both highly flattened and spherical systems will evolve toward a quasi-steady state with a density distribution that differs substantially from that observed in rich clusters of galaxies and in elliptical galaxies.

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