Geodesic
Coupled motion of a rigid body and point vortices on a sphere
Russian journal of nonlinear dynamics, Tome 5 (2009) no. 3, pp. 319-343

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The paper is concerned with a class of problems which involves the dynamical interaction of a rigid body with point vortices on the surface of a two-dimensional sphere. The general approach to the 2D hydrodynamics is further developed. The problem of motion of a dynamically symmetric circular body interacting with a single vortex is shown to be integrable. Mass vortices on $S^2$ are introduced and the related issues (such as equations of motion, integrability, partial solutions, etc.) are discussed. This paper is a natural progression of the author's previous research on interaction of rigid bodies and point vortices in a plane.
Keywords: hydrodynamics on a sphere, coupled body-vortex system, integrability.
Mots-clés : mass vortex, equations of motion 
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     title = {Coupled motion of a rigid body and point vortices on a sphere},
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A. V. Borisov; I. S. Mamaev; S. M. Ramodanov. Coupled motion of a rigid body and point vortices on a sphere. Russian journal of nonlinear dynamics, Tome 5 (2009) no. 3, pp. 319-343. http://geodesic.mathdoc.fr/item/ND_2009_5_3_a1/