Statistics – Computation
Scientific paper
Nov 1989
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1989apj...346..546k&link_type=abstract
Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 346, Nov. 15, 1989, p. 546-557.
Statistics
Computation
1
Astronomical Models, Galactic Clusters, Universe, Computational Astrophysics, Mass Distribution
Scientific paper
Recently, Weinberg, Ostriker, and Dekel proposed a model involving spherical explosions which reproduces the large-scale structure of the universe quite well. Because of the success of the model, an analytic treatment has been developed which gives the cluster-cluster correlation function and the cluster mass distribution in terms of the distribution of radii of the spherical structures. The inverse expression for the distribution of radii is also derived in terms of the cluster mass distribution. Thus, the cluster-cluster correlation function is given in terms of the cluster mass distribution function. The numerical results of Weinberg, Ostriker, and Dekel agree quite well with the predictions from the observed mass distribution. The cluster-cluster correlation function is given for several model distributions of radii. This formulation should be useful for future comparisons of observation and the model of Weinberg, Ostriker, and Dekel.
Cowley Steve C.
Kulsrud Russell M.
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