Geodesic
Integrable systems in dynamics on a tangent foliation to a sphere
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 2 (2016), pp. 25-30 Cet article a éte moissonné depuis la source Math-Net.Ru

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The mechanical systems which have the tangent bundle of a two-dimensional sphere as their phase space are studied. The potential nonconservative systems describing a geodesic flow are classified. A multi-parameter family of systems possessing the complete list of (in general) transcendental first integrals expressed in terms of finite combinations of elementary functions is found. Some examples from spatial dynamics of a rigid body interacting with a medium are given. 
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M. V. Shamolin. Integrable systems in dynamics on a tangent foliation to a sphere. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 2 (2016), pp. 25-30. http://geodesic.mathdoc.fr/item/VMUMM_2016_2_a3/

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