Mathematics – Logic
Scientific paper
Jan 1978
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1978mnras.182...27d&link_type=abstract
Monthly Notices of the Royal Astronomical Society, vol. 182, Jan. 1978, p. 27-33.
Mathematics
Logic
28
Correlation, Galactic Clusters, Galactic Evolution, Spatial Distribution, Adiabatic Flow, Astronomical Catalogs, Astronomical Models, Cosmology, Perturbation Theory, Spectrum Analysis
Scientific paper
A previous analysis of Abell's (1965) catalog of rich clusters of galaxies is compared with the conclusions of the adiabatic (acoustic) theory of galaxy formation, assuming a Friedmann cosmological model with a dimensionless Hubble constant of 0.5 and a dimensionless mean matter density of approximately 0.1. The mean density of rich clusters is analyzed, an angular correlation function is derived for the rich clusters, and optimum values of the spectral index for the initial perturbation spectrum are obtained for dimensionless mean matter densities of 0.1, 0.2, 0.3, and 1. The results show that the theoretical and observed mean densities of rich clusters are in good agreement, that the theoretical angular correlation function is close to that obtained in the previous analysis, and that the amplitude of initial perturbations is consistent with estimates based on various arguments
Doroshkevich Andrei G.
Shandarin Sergei F.
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