A statistical measure of the cosmological density parameter using clusters of galaxies

Mathematics – Logic

Scientific paper

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Cosmology, Density Distribution, Galactic Clusters, Red Shift, Space Density, Astronomical Catalogs, Data Sampling, Statistical Analysis

Scientific paper

A statistical test outlined by Sargent and Turner (1977) is applied to the estimation of the cosmological density parameter Omega, using (1) complete redshift information from a recent supercluster catalog, and (2) individual clusters rather then individual galaxies as test particles. The test detects and measures distortions from uniform Hubble expansion by means of cluster redshifts and positions, and then compares the observed distortions statistically with theory for the case of Omega values between zero and 0.79. The results are found to be consistent with no distortions from uniform Hubble flow, and indicate an Omega value of less than about 0.1 which does not apply to the contribution by any nonclustered component to the mass-energy of the universe.

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