Geodesic
Integrable cases of the dynamics of a~rigid body, and integrable systems on the spheres~$S^n$
Izvestiya. Mathematics , Tome 27 (1986) no. 2, pp. 203-218

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Infinite-dimensional sets of integrable cases of the equations of rotation of a rigid body about a fixed point in a central force field, and also in more complicated fields (in the presence of symmetries of the inertia tensor), are found. Also considered are infinite-dimensional sets of integrable cases of the dynamics of a particle in potential fields in Euclidean space on $n$-axial ellipsoids and the spheres $S^n$. Bibliography: 34 titles. 
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     author = {O. I. Bogoyavlenskii},
     title = {Integrable cases of the dynamics of a~rigid body, and integrable systems on the spheres~$S^n$},
     journal = {Izvestiya. Mathematics },
     pages = {203--218},
     publisher = {mathdoc},
     volume = {27},
     number = {2},
     year = {1986},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_1986_27_2_a0/}
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O. I. Bogoyavlenskii. Integrable cases of the dynamics of a~rigid body, and integrable systems on the spheres~$S^n$. Izvestiya. Mathematics , Tome 27 (1986) no. 2, pp. 203-218. http://geodesic.mathdoc.fr/item/IM2_1986_27_2_a0/