Аннотация
The problem of the motion of a rigid body with fixed point is one of the urgentproblems of classical mechanics. The peculiarity of this problem is that, despite theimportant results achieved by outstanding mathematicians during more than the lasttwo centuries, there is still no complete solution. In this paper, an analytical solutionof the problem of motion of an axially symmetrical rigid body with variable inertiamoments in resistant medium described by a system of nonlinear differential L. Eulerequations, involving the method of partial discretization of nonlinear differentialequations, built by A.N. Tyurekhodjaev on the basis of the theory of generalizedfunctions [1].