Geodesic
The Euler problem in solid body dynamics and the Jacobi problem about geodesics on an ellipsoid are not topologically conjugate
Matematičeskie zametki, Tome 61 (1997) no. 2, pp. 252-258 
O. E. Orel. The Euler problem in solid body dynamics and the Jacobi problem about geodesics on an ellipsoid are not topologically conjugate. Matematičeskie zametki, Tome 61 (1997) no. 2, pp. 252-258. http://geodesic.mathdoc.fr/item/MZM_1997_61_2_a6/
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     author = {O. E. Orel},
     title = {The {Euler} problem in solid body dynamics and the {Jacobi} problem about geodesics on an ellipsoid are not topologically conjugate},
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     pages = {252--258},
     year = {1997},
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     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1997_61_2_a6/}
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Voir la notice de l'article provenant de la source Math-Net.Ru

Two integrable problems are considered: the geodesic flow of an ellipsoid (the Jacobi problem) and the rotation of a solid about its center of mass (the Euler problem). It is proved that transforming the dynamical system of the Euler problem into the dynamical system of the Jacobi problem by a continuous change of coordinates is impossible.

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