Statistics – Computation
Scientific paper
Nov 1989
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1989apj...346l..49j&link_type=abstract
Astrophysical Journal, Part 2 - Letters (ISSN 0004-637X), vol. 346, Nov. 15, 1989, p. L49-L51. Research supported by NASA and Ne
Statistics
Computation
9
Cosmology, Galactic Clusters, Gravitational Effects, Universe, Computational Astrophysics, Elliptical Galaxies, Perturbation Theory, Spatial Distribution, Spiral Galaxies, Velocity Distribution
Scientific paper
Peebles's 'cosmic virial theorem' is extended from its original range of validity at small separations, where hydrostatic equilibrium holds, to large separations, in which linear gravitational stability theory applies. The rms pairwise velocity difference at separation r is shown to depend on the spatial galaxy correlation function xi(x) only for x less than r. Gravitational instability theory can therefore be tested by comparing the two up to the maximum separation for which both can reliably be determined, and there is no dependence on the poorly known large-scale density and velocity fields. With the expected improvement in the data over the next few years, however, this method should yield a reliable determination of omega.
Juszkiewicz Roman
Yahil Amos
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