On the gravitational radius - Velocity dispersion correlation for clusters of galaxies

Astronomy and Astrophysics – Astronomy

Scientific paper

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Cosmology, Galactic Clusters, Galactic Evolution, Mass To Light Ratios, Radial Velocity, Virial Theorem, Correlation, Mass Distribution, Radii, Velocity Distribution

Scientific paper

It is shown that there exists a correlation between the gravitational radius, and therefore the virial mass, of each galactic cluster and its velocity dispersion, and possible implications are discussed. Data from 22 clusters of galaxies are used, and the logarithm of the gravitational radius is plotted versus the log of the velocity dispersion for these clusters. The logarithm of the virial mass of the clusters is shown versus their velocity dispersion. The correlation can be interpreted to decide between theories of galaxy formation, but the lack of satisfactory measurements of gravitational radii and velocity dispersion of galactic clusters precludes this use of the correlation at present.

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