The spatial covariance function for rich clusters of galaxies

Astronomy and Astrophysics – Astronomy

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Galactic Clusters, Red Shift, Covariance, Distance, Spatial Distribution, Stellar Evolution

Scientific paper

The volume covariance functions for a sample of 158 Abell clusters representing all richness classes has been calculated. The results indicate that in the range 5-100 Mpc the covariance function for rich clusters of galaxies conforms to a power law xi(r) = (r(0)/r) to the gamma power, with r(0) = 40-50 Mpc and gamma = 1.3-1.9. From present data it is hard to obtain a trustworthy estimate for xi beyond 100 Mpc, but there are signs that when r is greater than about 100 Mpc xi will become negative. The cluster covariance function differs markedly from the one determined by galaxies: for r = 10 Mpc the galaxy covariance function equals 0.5-1, while the cluster covariance function is about 20 times as large. The generally unsatisfactory theoretical attempts to account for the observed cluster covariance function are briefly discussed.

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