Inhomogeneities in the universe - an observed power law relating mass fraction to density enhancement

Mathematics – Probability

Scientific paper

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Angular Distribution, Astronomical Models, Cosmology, Galactic Clusters, Spatial Distribution, Angular Correlation, Density Distribution, Many Body Problem, Mass Distribution

Scientific paper

A catalog of galactic clusters is generated by the following criterion: regions of the sky in which the surface number density of galaxies is enhanced by a factor of 4.65 over the mean surface density. Attention is given to the correlation function (or angular covariance function), which is defined in terms of the probability of finding a given galaxy at a specific angular distance from a chosen galaxy. Many of the galaxies observed occur in tight pairs, which may be evidence of the instability of a three-body system. It is noted that the model is consistent with a simple hierarchical clustering model.

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