On a class of periodic motions of a solid body about a fixed point: PMM Vol. 39, n≗5, 1975, pp. 927–929

Abstract

Existence of a new set of periodic solutions of the problem of a heavy solid body motion about a fixed point is proved by the small parameter method of Poincaré. It is assumed that the body does not greatly differ from a body with a dynamic symmetry axis, and that the constant of integration of the moment of momentum is fairly small.