Geodesic
On the general solution of the problem of the motion of a~heavy rigid body in the Hess case
Sbornik. Mathematics, Tome 206 (2015) no. 5, pp. 621-649

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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. Bibliography: 25 titles.
Keywords: first integral, asymptotic behaviour of solutions, singular points of solutions, analytic functions.
Mots-clés : Hess case of the Euler-Poisson equations 
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A. V. Belyaev. On the general solution of the problem of the motion of a~heavy rigid body in the Hess case. Sbornik. Mathematics, Tome 206 (2015) no. 5, pp. 621-649. http://geodesic.mathdoc.fr/item/SM_2015_206_5_a1/