Statistical analysis of bound companions in the Coma cluster
Martin Mendelin, Bruno Binggeli

TL;DR
This study investigates the substructure of the Coma galaxy cluster by identifying potential bound companions around giant galaxies, revealing a low frequency of such companions consistent with the cluster's regular structure.
Contribution
It introduces a novel application of over-density and nearest neighbor analyses to identify bound companions in the Coma cluster, extending previous methods used in Virgo.
Findings
Evidence of excess companions around luminous late-type giants.
Most satellites are faint dwarfs near high-luminosity primaries.
Estimated bound companions constitute 2-4% of the cluster, lower than Virgo.
Abstract
The rich and nearby Coma cluster of galaxies is known to have substructure. We aim to create a more detailed picture of this substructure by searching directly for bound companions around individual giant members. We have used two catalogs of Coma galaxies, one covering the cluster core for a detailed morphological analysis, another covering the outskirts. The separation limit between possible companions (secondaries) and giants (primaries) is chosen as M_B = -19 and M_R = -20, respectively for the two catalogs. We have created pseudo-clusters by shuffling positions or velocities of the primaries and search for significant over-densities of possible companions around giants by comparison with the data. This method was developed and applied first to the Virgo cluster by Ferguson (1992). In a second approach we introduced a modified nearest neighbor analysis using several interaction…
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