Correlation functions of rich clusters of galaxies

Astronomy and Astrophysics – Astronomy

Scientific paper

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Angular Correlation, Galactic Clusters, Astronomical Models, Red Shift, Spatial Distribution

Scientific paper

New evidence is presented that the amplitude of the two-point correlation function of rich clusters of galaxies has been overestimated due to difficulties in selecting uniform samples of clusters. This paper analyzes spatial correlations in two redshift samples, Shectman's (1985) survey of Lick clusters and a new deep survey of Abell clusters. In each case there is clear evidence that the clustering pattern is strongly anisotropic in redshift space and hence that the catalogs are biased by projection effects. The redshift-space anisotropies are similar to those found for nearby Abell clusters. It is also shown that the scaling test of the angular correlation function for distant Abell clusters is of limited accuracy.

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