  Applying the microscopic nuclear physics ideas for fusion reactions to
macroscopic galactic systems, we study the evolution of the compact binary
galaxy in mass asymmetry (transfer) coordinate. The conditions for the
formation of stable symmetric binary galaxy are analyzed. The role of
symmetrization of asymmetric binary galaxy in the transformation of
gravitational energy into internal energy of galaxies accompanied by the
release of a large amount of energy during the symmetrization process is
revealed.
