One class of solutions with two invariant relations for the problem of motion of the Kowalevski top in double constant field
arXiv:0803.1028
Abstract
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.
LaTex, 7 pages
References in corpus (4)
- Bifurcation diagrams of the Kowalevski top in two constant fields
- Separation of variables in the generalized 4th Appelrot class
- Separation of variables and integral manifolds in one problem of motion of generalized Kowalevski top
- Explicit integration of one problem of motion of the generalized Kowalevski top