  We show that observational data for four Abell clusters of galaxies support
the Gur\-za\-dyan-Kocharyan relation between the Hausdorff dimension and the
dynamical properties of a galaxy system. The Hausdorff dimension is calculated
using the two-point correlation function, while the dynamical parameters are
estimated using available data and reasonable assumptions on the mass function
of galaxies. This result can have essential consequences in the understanding
of the dynamical mechanisms that determine the fractal distribution of
galaxies.
