Studies of Rich Clusters of Galaxies -- III PHOTOMETRY OF THE CLUSTER A1930 AND THE Formula RELATION

Abstract

Photometry is presented for objects in the central region of the cluster A1930. We have no evidence of radial luminosity or colour segregation. The discontinuity in the integrated luminosity function occurs at a total absolute magnitude |$M_\text{V}^{*}\,=\,-21\cdot0$|⁠. The extension of Bautz & Abell's data to higher redshift made by this cluster and A1413 confirms that Mv⋆ is a better distance indicator than the apparent magnitude of the brightest cluster member. The low dispersion of Mv⋆ is used directly to obtain a value for the Hubble constant at the Virgo cluster of |${H}_{0}(\text{VC})\,=\,62\pm19\,\text{km}\,\text{s}^{-1}\,\text{Mpc}^{-1}$|⁠.