A Cosmic Virial Theorem
Abstract
A new type of cosmic virial theorem is derived, representing a relation among the twopoint and threepoint galaxy correlation functions and the mean square relative peculiar velocity <v ^{2}(r)> averaged over pairs of galaxies separated by distancer. The two correlation functions seem to be fairly well known, but <v ^{2}(r)> at best is only very roughly estimated from available data. It might be possible to improve the estimate through a systematic program of redshift measurements in sample areas. If so, the cosmic virial theorem might yield an interesting measure of the mean mass density due to galaxies.
 Publication:

Astrophysics and Space Science
 Pub Date:
 November 1976
 DOI:
 10.1007/BF00642136
 Bibcode:
 1976Ap&SS..45....3P
 Keywords:

 Astronomical Models;
 Cosmology;
 Galactic Clusters;
 Mass Distribution;
 Statistical Analysis;
 Virial Theorem;
 Astronomical Catalogs;
 Correlation;
 Equations Of Motion;
 Frequency Distribution;
 Hubble Diagram;
 Isotropic Media;
 Red Shift;
 Spatial Distribution;
 Taylor Series;
 Velocity Distribution;
 Virgo Galactic Cluster;
 Astrophysics