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The Coma - Leo I Distance Ratio and the Hubble Constant

The diameter - velocity dispersion relation in B, V, and K for three early-type galaxies in the Leo I (M96) group is derived from published photometry and kinematic data. The relations in all three colors have slopes which agree well with those for the Coma cluster. The RMS scatter of the Leo I galaxies in each color is extremely small, consistent with the group's compactness. These relations yield estimates of the Coma-Leo I distance ratio of 9.01 +/- 0.51, 8.77 +/- 0.43, and 8.82 +/- 0.31, respectively, with a weighted mean of 8.84 +/- 0.23. The general agreement among the three colors indicates that the early-type galaxies in Leo I and Coma have similar stellar populations. The Coma-Leo I distance ratio coupled with estimates of the absolute distance to the Leo I group allows the Hubble constant to be determined, free of the uncertainties which arise when working with the Virgo cluster. Several high quality distance estimates are available from a variety of techniques: Cepheids in M96 (Tanvir et al. 1995) and M95 (Graham et al. 1997), surface brightness fluctuations (Tonry et al. 1997), planetary nebulae luminosity functions (Ciardullo et al. 1993), and the luminosity of the red giant branch tip (Sakai, Freedman, & Madore 1996). Adopting a cosmic recession velocity of the Coma cluster in the microwave background frame of 7200 +/- 300 km/s, these distance estimates lead to values of the Hubble constant ranging from 70 to 81 km/s/Mpc, with an unweighted mean of 75 +/- 6 km/s/Mpc.