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Title:
On the spatial correlations of Abell clusters
Authors:
Kaiser, N.
Affiliation:
AA(California, University, Santa Barbara and Berkeley, CA)
Publication:
Astrophysical Journal, Part 2 - Letters to the Editor (ISSN 0004-637X), vol. 284, Sept. 1, 1984, p. L9-L12. NASA-supported research. (ApJL Homepage)
Publication Date:
09/1984
Category:
Astrophysics
Origin:
STI
NASA/STI Keywords:
Correlation, Cosmology, Galactic Clusters, Spatial Distribution, Astronomical Models, Density Distribution, Normal Density Functions
DOI:
10.1086/184341
Bibliographic Code:
1984ApJ...284L...9K

Abstract

If rich clusters formed where the primordial density enhancement, when averaged over an appropriate volume, was unusually large, then they give a biased measure of the large-scale density correlation function determiend by the probability distribution of the density fluctuations on a rich cluster mass scale. If this distribution was Gaussian, the correlation function is amplified. The amplification for rich clusters is estimated to be eaual about ten and predicted trend of amplification with richness agrees qualitatively with that observed. Some implications of these results for the large-scale density correlations are discussed.

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