  The statistical mechanical investigation of Violent Relaxation of phase space
elements of different densities first derived by Lynden-Bell (1967) is
re-examined. It is found that the mass independence of the equations of motion
of Violent Relaxation calls for a constraint on the volume of the phase space
elements used to formulate the statistical mechanical description of Violent
Relaxation. In agreement with observations of astrophysical objects believed to
have been subject to Violent Relaxation (e.g. clusters of galaxies), the coarse
grained phase space distribution $\bar{f}$ of the final state in the
non-degenerate limit turns into a superposition of Maxwellians of a common
velocity dispersion. Thus, the velocity dispersion problem present in the
investigation of Lynden-Bell (1967) is removed.
