New periodic solutions for the problem of motion of a heavy solid body around a fixed point: PMM vol. 39, n≗ 3, 1975, pp. 407–414

Abstract

The theory of generation of periodic solutions in canonic systems of near-integrable differential equations was developed by Poincaré for the purposes of celestial mechanics. In this paper we establish the applicability of these results to the classical problem of the motion of a heavy solid body with a fixed point. By the same token we have succeeded in essentially widening the class of periodic solutions appearing in this problem.