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Astrophysics

, Volume 39, Issue 1, pp 63–70 | Cite as

Necessary criteria for spatial uniformity of groups of galaxies

  • G. A. Saiyan
Article

Abstract

In order to search for spatially uniform groups of galaxies, two necessary criteria for systems of this type are constructed. The pairwise distribution of galaxies (the distribution of their mutual distances) in the picture plane is used in both cases. This distribution is derived theoretically (in the limit N → ∞, where N is the number of galaxies in the group) and numerically for finite N. For this we considered the orthogonal projection onto a plane of a uniform Poisson process in a sphere of some radius. In the first criterion we use the Kolmogorov criterion to compare the calculated and observed integral pairwise distributions. In the second criterion we use dimensionless statistics associated with the moments of the pairwise distribution. An investigation of the Geller-Huchra and Mahtessian catalogs, in which groups of galaxies were selected based on the condition 9 ≤ N ≤ 30, showed that the overwhelming majority of these systems are spatially nonuniform. Some dynamical consequences of these results are discussed.

Keywords

Poisson Process Orthogonal Projection Dynamical Consequence Overwhelming Majority Mutual Distance 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Plenum Publishing Corporation 1996

Authors and Affiliations

  • G. A. Saiyan
    • 1
  1. 1.Byurakan Astrophysical ObservatoryArmenia

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