On the general solution of the problem of the motion of a heavy rigid body in the Hess case

摘要

A solution of the Euler-Poisson equations in the Hess case is represented in the form of the family of its singular points together with the asymptotic behaviour of the solution at these points. A complete list of single-valued and finite-valued solutions in the Hess case is given. A representation for limiting periodic solutions is obtained and a precise condition for the existence of these solutions is found.