Astronomy and Astrophysics – Astrophysics
Scientific paper
Aug 1982
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1982apj...259..449p&link_type=abstract
Astrophysical Journal, Part 1, vol. 259, Aug. 15, 1982, p. 449-473.
Astronomy and Astrophysics
Astrophysics
41
Astronomical Catalogs, Galactic Clusters, Many Body Problem, Red Shift, Statistical Analysis, Virial Theorem, Cosmology, Hubble Constant
Scientific paper
Groups or clusters of galaxies whose crossing time is small compared to the Hubble time can be 'weighed' by the virial theorem. This paper develops a statistical method for identifying such subsystems within a magnitude-limited redshift catalog which is complete in some solid angle of sky. The method is tested on simulated catalogs derived from N-body simulations, and is found to yield stable mass estimates over a large range of values of the ratio of clustered density to critical density in the sampled volume, with only a small statistical estimator bias (which is calibrated out by these simulations). When the method is applied to the Center for Astrophysics Redshift Survey data, the most striking result is a strong, approximately linear, relation between the virial mass per galaxy in a cluster and the radius of that cluster.
Davis Martin
Press William H.
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