Title: Separatrix crossing in rotation of a body with changing geometry of masses,
Abstract: We consider free rotation of a body whose parts move slowly with respect to
each other under the action of internal forces. This problem can be considered
as a perturbation of the Euler-Poinsot problem. The dynamics has an approximate
conservation law - an adiabatic invariant. This allows to describe the
evolution of rotation in the adiabatic approximation. The evolution leads to an
overturn in the rotation of the body: the vector of angular velocity crosses
the separatrix of the Euler-Poinsot problem. This crossing leads to a
quasi-random scattering in body's dynamics. We obtain formulas for
probabilities of capture into different domains in the phase space at
separatrix crossings.