Absence of any characteristic correlation length in the CfA galaxy catalogue

Statistics – Computation

Scientific paper

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Astronomical Catalogs, Correlation, Cosmology, Galactic Clusters, Computational Astrophysics, Sky Surveys (Astronomy), Statistical Analysis

Scientific paper

The use of the two-point correlation function xi(r) as a description of galaxy clustering requries an a priori assumption of homogeneity on length scales smaller than that of the sample analyzed. In order to verify the validity of this assumption, the CfA catalog was reanalyzed with a more general method. The results show that the galaxy distribution can be described by a fractal which extends up to at least 20/h Mpc without any evidence for a homogeneous distribution. This invalidates one of the principal conclusions based on the use of xi(r) namely, that there is no evidence in the CfA catalog for the existence of the famous correlation length r(0) about 5/h Mpc above which galaxy-galaxy correlations are small. This result is consistent with the observation of voids and superclusters and the existence of high anomalous streaming velocities.

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