On the spatial correlations of Abell clusters

Details On the spatial correlations of Abell clusters On the spatial correlations of Abell clusters

Sep 1984

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984apj...284l...9k&link_type=abstract

Astrophysical Journal, Part 2 - Letters to the Editor (ISSN 0004-637X), vol. 284, Sept. 1, 1984, p. L9-L12. NASA-supported resea

Mathematics

Probability

940

Correlation, Cosmology, Galactic Clusters, Spatial Distribution, Astronomical Models, Density Distribution, Normal Density Functions

Scientific paper

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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