On the motion of a heavy rigid body in an ideal fluid with circulation

Details On the motion of a heavy rigid body in an ideal fluid with circulation On the motion of a heavy rigid body in an ideal fluid with circulation

2005-03-25

arxiv.org/abs/nlin/0503056v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

25 pages, 4 figures

Scientific paper

10.1063/1.2166530

Chaplygin's equations describing the planar motion of a rigid body in an unbounded volume of an ideal fluid involved in a circular flow around the body are considered. Hamiltonian structures, new integrable cases, and partial solutions are revealed, and their stability is examined. The problems of non-integrability of the equations of motion because of a chaotic behavior of the system are discussed.

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