  The time evolution of the continuous measure symmetry for the system built of
the three bodies interacting via the potential U(r)~1/r is reported.
Gravitational and electrostatic interactions between the point bodies were
addressed. In the case of the pure gravitational interaction the
three-body-system deviated from its initial symmetrical location, described by
the Lagrange equilateral triangle, comes to collapse, accompanied by the growth
of the continuous measure of symmetry. When three point bodies interact via the
Coulomb repulsive interaction, the time evolution of CMS is quite different.
CMS calculated for all of studied initial configurations of the point charges
and all of their charge-to-mass ratios always comes with time to its asymptotic
value, evidencing the stabilization of the shape of the triangle, constituted
by the interacting bodies.
