Dark matter influence on velocity dispersion profiles of clusters of galaxies

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Astronomical Models, Dark Matter, Density Distribution, Galactic Clusters, Many Body Problem, Velocity Distribution, Mass Distribution, Universe, Virgo Galactic Cluster

Scientific paper

Velocity dispersion profiles for three clusters of galaxies, Coma, Perseus, and Virgo, are analyzed and compared in order to study the distribution and amount of distributed dark material in these clusters. The global characteristics of the velocity dispersion profiles are described. It is observed that the profiles are not influenced by changes in the ratio of the background mass to the mass attached to galaxies, M(b)/M(g), but are dependent on their relative concentration. A maximum value for the ratio of the gravitational radius of the galaxies and the background, R(g)/R(b), and a minimum value for the M(b)/M(g) ratio are derived. The R(g)/R(b) value for all three clusters is greater than 0.6 and the minimum values for the M(b)/M(g) for the Coma cluster is 8, for Perseus 14, and for Virgo 24. It is noted that the virial theorem underestimates the total mass of the clusters.

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