The Edinburgh-Durham Southern Galaxy Catalogue. V - The cluster correlation function

Astronomy and Astrophysics – Astronomy

Scientific paper

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Astronomical Catalogs, Data Correlation, Galactic Clusters, Galactic Structure, Dark Matter, Red Shift, Spatial Distribution

Scientific paper

A nearly complete cluster sample selected from the Edinburgh-Durham Southern Galaxy Catalogue is used to calculate the two-point spatial cluster-cluster correlation function (xicc). The resulting correlation length has a value of 16 h/Mpc. The anisotropy of xicc between the radial and transverse directions is significantly smaller than that found in Abell cluster samples of comparable richness on scales not greater than 30 h/Mpc. This is a consequence of minimizing the projection effects in the cluster search algorithm and measuring multiple redshifts for most clusters. This result suggests that such effects are not due to real structure or large peculiar velocities. An upper limit to the rms peculiar velocities for clusters of about 1000 km/s is derived.

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