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.

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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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     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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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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