Mathematics – Logic
Scientific paper
Jan 1964
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1964cokon..54....1p&link_type=abstract
Communications of the Konkoly Observatory, No. 54 (Vol. IV, 12), p. 1-30 (1964)
Mathematics
Logic
1
Stars: Open Clusters
Scientific paper
In Abell's catalogue of clusters of galaxies a strong correlation has been found between the compactness and the distance of the clusters. By comparing Abell's and Zwicky's catalogues it is demonstrated here, that this results from an error in Abell's working hypothesis, according to its mean red shift. Our result indicates that in the case of distant clusters of galaxies the red shift is not even in rough proportion to distance. This statement is in disagreement with the opinion generally held by astronomers, it is, however, proved to be in perfect accord with the magnitudes and red shifts published by Humason, Mayall and Sandage, provided the relationships between cosmologically important quantities are determined independently from Friedmann's equation generally used in cosmology. When the correct relationship between the red shifts and the angular diameters of the clusters of galaxies is applied, the existence of a metagalactic density gradient different from zero may be inferred from the data of Abell's Catalogue. The cosmological consequences of the points brought up in the present paper are mentioned in brief only, since they will be discussed in detail in a paper to follow.
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