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For refcode 1993ApJ...419...47Z:
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1993ApJ...419...47Z A TECHNIQUE FOR DETECTING STRUCTURE IN CLUSTER VELOCITY DISTRIBUTIONS ANN I. ZABLUDOFF, MARIJN FRANX, AND MARGARET J. GELLER Harvard-Smithsonian Center for Astrophysics, 60 Garden Street, Cambridge, MA 02138; E-mail: aiz@Iibra.ociw.edu; franx@astro.rug.nl; mjg@cta.harvard.edu Received 1993 February 22; accepted 1993 June 16 ABSTRACT For clusters with >~ 100 measured galaxy redshifts, we develop a new method for detecting departures from a Gaussian velocity distribution. We decompose the cluster velocity distribution into a sum of the orthogonal Gauss-Hermite functions. This method quantifies the asymmetric third- order (h_3_) and symmetric fourth-order (h_4_) terms of the distribution while minimizing the effect of interlopers in the tails. We apply the method to a sample of eight rich clusters: A426, A548, A1060, A1656, A2151, A2670, DC 2048 - 52, and Centaurus. Each cluster has more than 100 members with known redshifts. The clusters A548, A1656, DC 2048 - 52, and Centaurus significantly depart from Gaussian. A 1656 and DC 2048 - 52 have asymmetric velocity distributions; A548 and Centaurus have broad, symmetric distributions. The most likely interpretation is that these systems have substructure. This result is consistent with findings by other authors. Subject headings: galaxies: clustering - galaxies: distances and redshifts
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