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

- Authors
- Journal
- Mechanics Research Communications 0093-6413
- Publisher
- Elsevier
- Publication Date
- Volume
- 32
- Issue
- 5
- Identifiers
- DOI: 10.1016/j.mechrescom.2005.02.010
- Keywords
- Disciplines

## Abstract

Abstract In the problem of motion of the Kowalevski top in a double force field the four-dimensional invariant submanifold of the phase space was pointed out by [Kharlamov, M.P., 2002. Mekh. Tverd. Tela 32, 33–38]. We show that the equations of motion on this manifold can be separated by the appropriate change of variables, the new variables s 1, s 2 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 s 1, s 2 explicitly in elementary algebraic functions.

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