Explicit integration of one problem of motion of the generalized Kowalevski top

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dc.creatorKharlamov, Mikhail P.
dc.creatorSavushkin, Alexander Y.
dc.date2008-03-06
dc.date.accessioned2026-07-07T09:25:12Z
dc.date.available2026-07-07T09:25:12Z
dc.descriptionIn the problem of motion of the Kowalevski top in a double force field the 4-dimensional invariant submanifold of the phase space was pointed out by M.P.Kharlamov (Mekh. Tverd. Tela, 32, 2002). We show that the equations of motion on this manifold can be separated by the appropriate change of variables, the new variables s1, s2 being elliptic functions of time. The natural phase variables (components of the angular velocity and the direction vectors of the forces with respect to the movable basis) are expressed via s1, s2 explicitly in elementary algebraic functions.
dc.description6 pages
dc.identifierhttps://arxiv.org/abs/0803.0857
dc.identifierhttp://arxiv.org/abs/0803.0857
dc.identifierMech. Res. Commun., 2005, N 32, pp. 547-552
dc.identifierdoi:10.1016/j.mechrescom.2005.02.010
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/156328
dc.subjectExactly Solvable and Integrable Systems
dc.subjectMathematical Physics
dc.subjectSymplectic Geometry
dc.titleExplicit integration of one problem of motion of the generalized Kowalevski top
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