ABSTRACT
The problem of the motion of a rigid body with fixed point is one of the urgent
problems of classical mechanics. The peculiarity of this problem is that, despite the
important results achieved by outstanding mathematicians during more than the last
two centuries, there is still no complete solution. In this paper, an analytical solution
of the problem of motion of an axially symmetrical rigid body with variable inertia
moments in resistant medium described by a system of nonlinear differential L. Euler
equations, involving the method of partial discretization of nonlinear differential
equations, built by A.N. Tyurekhodjaev on the basis of the theory of generalized
functions [1].