  The motion with intersections of relativistic gravitating shells in the
Schwarzschild gravitational field of a central body is considered. Formulas are
derived for calculating parameters of the shells after intersection via their
parameters before intersection. Such special cases as the Newtonian
approximation, intersections of light shells, and intersections of a test shell
with a gravitating shell are also considered. The ejection of one of the shells
to infinity in the relativistic region is described. The equations of motion
for the shells are analyzed numerically.
