The Peculiar Velocity Function of Galaxy Clusters

Mathematics – Logic

Scientific paper

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Scientific paper

The peculiar velocity function of clusters of galaxies is determined using an accurate sample of cluster velocities based on Tully-Fisher distances of Sc galaxies (Giovanelli et al). In contrast to previous results based on samples with considerably larger velocity uncertainties, the observed velocity function does not exhibit a tail of high peculiar velocity clusters. The results indicate a low probablity of < 5% of finding clusters with one-dimensional peculiar velocities greater than 600 km/s. The rms one-dimensional cluster peculiar velocity is 293 +- 28 km/s. The observed cluster velocity function is compared with expectations from different cosmological models. The absence of a high velocity tail in the observed function is most consistent with a low mass-density (omega 0.3) CDM model and is inconsistent at the >3sigma level with omega=1 CDM and HDM models.

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