The dynamics of rich clusters of galaxies. I - The Coma cluster

Mathematics – Logic

Scientific paper

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Astrodynamics, Cluster Analysis, Dynamic Models, Galactic Clusters, Anisotropy, Dark Matter, Density Distribution, Distribution Functions, Galactic Structure, Luminosity, Mass To Light Ratios, Radial Velocity, Red Shift, Velocity Distribution

Scientific paper

Self-consistent analytical dynamical models are used to study the endpoint of cluster formation, concentrating on the Coma cluster. Particular attention is paid to the effects of anisotropy in the velocity dispersion and variations in the energy-distribution function on the cluster structure, the effect on the core structure of a massive central object, the dynamical consequences of morphological segregation, cosmological infall and the edge of a cluster, the distribution of dark matter in a cluster, and the implications of X-ray observations for the distribution of gravitating material in a cluster. Radial velocity data is displayed, and new and repeated redshifts are reported for a number of galaxies in the central regions of the cluster. Cluster membership is determined and a velocity-dispersion profile is derived. A composite surface-density profile is derived, and amazing examples are shown of models with virtually identical surface-density profiles but otherwise completely different internal dynamics.

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