  The virial equation is used to clarify the nature of the dynamic evolution of
a stellar system. Compared to the kinetic equation, it gives a deeper but
incomplete description of the process of relaxation to a quasi-stationary
state, which here means the fulfillment of the virial theorem. Analysis shows
that the time to reach the virial equlibrium state $T_v$ is about two to three
dozen dynamic time periods $T_d$. Namely, during $T_v$ the virial ratio, the
mean harmonic radius, and the root-mean-square radius of the system fluctuate,
and then the first two characteristics stabilize near their equilibrium values,
while the root-mean-square radius continues to grow (possibly ad infinitum).
This indicates a fundamentally different behavior of the moment of inertia of
the system relative to the center of gravity and its potential energy, leading
to the formation of a relatively small equilibrium core and an extended halo.
