One class of solutions with two invariant relations for the problem of motion of the Kowalevski top in double constant field

Details One class of solutions with two invariant relations for the problem of motion of the Kowalevski top in double constant field One class of solutions with two invariant relations for the problem of motion of the Kowalevski top in double constant field

2008-03-07

arxiv.org/abs/0803.1028v1

Russian: Mekh. Tverd. Tela 32(2002), pp. 32-38

Nonlinear Sciences

Exactly Solvable and Integrable Systems

LaTex, 7 pages

Scientific paper

Consider a rigid body having a fixed point in a superposition of two constant force fields (for example, gravitational and magnetic). Introducing the condition of Kowalevski type, O.I.Bogoyavlensky (1984) has found the first integral generalizing that of Kowalevski and pointed out the integrable case with two invariant relations, which reduces to the 1st Appelrot class when one of the fields vanishes. The article presents a new case with two invariant relations integrable in Jacobi sense and generalizing the 2nd and 3rd classes of Appelrot.

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