Astronomy and Astrophysics – Astrophysics
Scientific paper
Nov 1976
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1976ap%26ss..45....3p&link_type=abstract
Astrophysics and Space Science, vol. 45, Nov. 1976, p. 3-19. NSF-supported research.
Astronomy and Astrophysics
Astrophysics
56
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
Scientific paper
A cosmic virial theorem is derived, representing a relation among the two-point and three-point galaxy correlation functions and the mean-square relative peculiar velocity averaged over pairs of galaxies separated by a certain distance. The two correlation functions seem to be fairly well known, but the mean-square relative peculiar velocity 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.
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