Astronomy and Astrophysics – Astrophysics
Scientific paper
Feb 1980
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1980apj...236...75s&link_type=abstract
Astrophysical Journal, Part 1, vol. 236, Feb. 15, 1980, p. 75-83.
Astronomy and Astrophysics
Astrophysics
69
Galactic Clusters, Maximum Likelihood Estimates, Spatial Distribution, Statistical Analysis, Astronomical Models, Error Analysis, Monte Carlo Method, Subroutines
Scientific paper
A maximum likelihood method is proposed for the analysis of the projected distribution of galaxies in clusters. It has many advantages compared to the standard method; principally, it does not require binning of the galaxy positions, applies to asymmetric clusters, and can simultaneously determine all cluster parameters. A rapid method of solving the maximum likelihood equations is given which also automatically gives error estimates for the parameters. Monte Carlo tests indicate this method applies even for rather sparse clusters. The Godwin-Peach data on the Coma cluster are analyzed; the core sizes derived agree reasonably with those of Bahcall. Some slight evidence of mass segregation is found.
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