The three-point correlation functions of Abell clusters

Details The three-point correlation functions of Abell clusters The three-point correlation functions of Abell clusters

Jul 1989

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1989apj...342..639j&link_type=abstract

Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 342, July 15, 1989, p. 639-649.

Statistics

Computation

24

Computational Astrophysics, Galactic Clusters, Statistical Correlation, Angular Correlation, Astronomical Catalogs, Scaling Laws, Spatial Distribution

Scientific paper

The three-point angular as well as spatial correlation functions are determined for the statistical catalog of Abell clusters. Separate estimations for the northern, southern, and total samples consistently show that the three-point correlation function of clusters with R = one or greater can be represented by a scaling form zeta, just as for galaxies. Abell clusters with R of two or greater are analyzed to determine the richness dependence of zeta. The results indicate that the three-point correlation functions going from galaxies to Abell clusters of R = two or greater possess a universal scaling form, although they span three magnitudes. This universal form would be of great value in understanding the origin and evolution of the large-scale structure of the universe.

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