Correlation properties of galaxies from the Main Galaxy Sample of the SDSS survey

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Abstract
The apparatus of correlation gamma function (Γ*(r)) is used to analyze volume-limited samples from the DR4 Main Galaxy Sample of the SDSS survey with the aim of determining the characteristic scales of galaxy clustering. Up to 20h −1 Mpc (H 0 = 65 km s−1 Mpc−1), the distribution of galaxies is described by a power-law density—distance dependence, Γ*(r) ∝ r −γ , with an index γ ≈ 1.0. A change in the state of clustering (a significant deviation from the power law) was found on a scale of (20–25) h −1 Mpc. The distribution of SDSS galaxies becomes homogeneous (γ ∼ 0) from a scale of ∼60h −1 Mpc. The dependence of γ on the luminosity of galaxies in volume-limited samples was obtained. The power-law index γ increases with decreasing absolute magnitude of sample galaxies M abs. At M abs ∼ −21.4, which corresponds to the characteristic value M r * of the SDSS luminosity function, this dependence exhibits a break followed by a more rapid increase in γ.
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