  Collapse of the rotating spheroid is approximated by a system of ordinary
differential equations describing its dynamics. The gravitational potential is
approximated by the one of the iniform Maclaurin spheroid.
  Developement of gravitational instability and collapse in the dark matter
medium do not lead to any shock formation or radiation, but is characterized by
non-collisional relaxation, which is accompanied by the mass and angular
momentum losses. Phenomenological account of these processes is done in this
model. Formation of the equilibrium configuration dynamics of collapse is
investigated for several parameters, characterizing the configuration. A very
long gravitational wave emission during the collapse is estimated, and their
possible connection with the observed gravitational lenses is discussed.
