On the interrelation between the surface photometric parameters and the internal velocities of galaxies

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Abstract

The interrelations between the surface photometric parameters (luminosity, diameter, surface brightness, concentration index) and the internal velocities (velocity dispersion, rotational velocity) are explored by means of the principal component analysis and the regression line analysis of homogeneous data for 18 elliptical and 28 spiral galaxies of moderate inclinations (30^deg^ <~ i <~ 65^deg^) in the Virgo Cluster. We find extremely tight correlations (|correlation coefficients| > 0.98), both for ellipticals and spirals, between the visual magnitude V_26_ and a combined parameter log w' = log v D_26_ with v and D_26_ being the internal velocity and the isophotal diameter of galaxies. We infer the physical meaning of w = (Gw')^-1^ to be a sort of phase-space density related to the basic structure of galaxies, and briefly describe its empirical behavior in the diameter versus surface brightness diagram.

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