Statistics – Computation
Scientific paper
Apr 1988
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1988mnras.231..957g&link_type=abstract
Monthly Notices of the Royal Astronomical Society (ISSN 0035-8711), vol. 231, April 15, 1988, p. 957-968.
Statistics
Computation
3
Bbgky Hierarchy, Galactic Clusters, Galactic Mass, Hubble Constant, Kinetic Theory, Computational Astrophysics, Correlation, Velocity Distribution
Scientific paper
A kinetic theory based on the BBKGY hierarchy is developed to describe galaxy correlation functions in Friedmann universes over a full range of values of the density parameters Ω0. The theory leads to the concept of a "thermal Hubble sphere" (THS), whose radius is RTHS≡ C/H0, where C is the three-dimensional rms relative peculiar velocity. Non-dimensionalization and expansion schemes applied to the BBKGY equations yield a classification of universes in terms of Ω0 and a galaxy-number parameter NTHS≡ nVTHS, where n is the mean proper galaxy number density and the volume VTHS= (4/3 π)RTHS3. Nine separate models are studied for steady-state solutions of the two-point correlation function ξ(r), where r is the proper separation between galaxies. From these, the corresponding angular covariance functions are calculated and it is found that the observational data agree best with an open universe for which ξ(r) = 0.01 r-2+ 0.21 r-1- 0.37 r, 0.08 ⪉ Ω0≤ 0.4 and 0.2 ⪉ NTHS⪉ 2.
Guillen Michael A.
Liboff Richard L.
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