Mathematics – Probability
Scientific paper
Aug 1985
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985aj.....90.1413b&link_type=abstract
Astronomical Journal (ISSN 0004-6256), vol. 90, Aug. 1985, p. 1413-1424.
Mathematics
Probability
79
Astronomical Catalogs, Cosmology, Galactic Clusters, Intergalactic Media, Spatial Distribution, Correlation, Galactic Structure, Monte Carlo Method, Probability Theory, Red Shift
Scientific paper
Rich clusters of galaxies, like those in Abell's (1958) catalog, may be good tracers of the large-scale structure in the universe. A finding list of 102 candidate superclusters has been assembled by examining the distribution of 652 Abell clusters with measured or estimated redshifts less than 0.13 and a list of 29 regions with redshifts of less than about 0.1 that appear totally devoid of such clusters. The supercluster list was constructed using a percolation technique, wherein clusters with separations of less than 40 Mpc/hr (75 km/s/Mpc) were linked together to form the supercluster candidates. This list includes a rough estimate of the probability of membership of each cluster in a given candidate supercluster. Four high-probability supercluster candidates have been examined in detail, using projected 3-D plots. These candidates have distinctly nonspherical structures on the order of 100-200 Mpc/hr. The candidate voids likewise have dimensions of 100-200 Mpc/hr, but they appear to be more spherical. A comparison of the distribution of Abell clusters with a Monte Carlo random distribution constrained by the two-point spatial correlation function of the Abell clusters suggests that significantly more large-scale structure is present than expected from the two-point correlations.
Batuski David J.
Burns O. Jr. J.
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