The galaxy clustering correlation length

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Astronomical Models, Correlation, Cosmology, Estimating, Galactic Clusters, Length, Mathematical Models, Statistical Tests, Universe, Astronomical Catalogs, Data Processing, Data Sampling, Red Shift, Stellar Luminosity, Stellar Magnitude

Scientific paper

The galaxy clustering correlation length r0 is studied using a variety of galaxy samples drawn from Huchra's CfA-I galaxy redshift catalogue (completeness limit mB less than or equal to 14.5) and the first CfA-II slice (mB less than or equal to 15.5). Estimates of r0 depend on the sample, and some samples show the well-known trend that r0 increases with sample depth. We study this phenomenon both in complete volume limited samples, and in velocity limited samples with an a priori fixed absolute magnitude limit Mcom = -18.5 + 5 log h, using a selection function based on the sample luminosity function. The first sample is certainly affected by luminosity segregation. To isolate this effect we have studied samples with different depth and the same absolute magnitude limit. The effect of the luminosity segregation is clearly noticed in biasing the value of r0. In the analysis of incomplete samples, if the luminosity function were a universal function, we would not expect strong luminosity dependent effects, therefore the observed variability of r0 in these samples is mainly due to the weight large scale inhomogeneities and the fact that we are not using a fair sample of the Universe. We have also studied the influence of the corrections performed by Einasto et al. (1984): galactic absorption and random peculiar velocities in clusters.

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