The Multiplicity Function of Galaxies
E. Puddu, E. De Filippis, G. Longo, S. Andreon, R. R. Gal
Abstract
The multiplicity function (MF) of groups and clusters of galaxies is determined using galaxy catalogues extracted from a set of Digitized Palomar Sky Survey (DPOSS) plates. The two different types of structures (of low and high richness) were identified using two different algorithms: a modified version of the van Albada method for groups, and a peak finding algorithm for larger structures. In a 300 sq. deg. area up to z<0.2, we find 2944 groups and 179 clusters. Our MF covers a wide range of richnesses, from 2 to 200, and the two MF's derived by the two algorithms match smoothly without the need for additional conditions or normalisations. The resulting multiplicity function, of slope alpha= -2.08 +- 0.07, strongly resembles a power law.
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