Coupled motion of a rigid body and point vortices on a sphere
A. V. Borisov, I. S. Mamaev, S. M. Ramodanov
Institute of Computer Science
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.
hydrodynamics on a sphere, coupled body-vortex system, mass vortex, equations of motion, integrability.
PDF file (429 kB)
MSC: 76B47, 70Exx, 70Hxx
A. V. Borisov, I. S. Mamaev, S. M. Ramodanov, “Coupled motion of a rigid body and point vortices on a sphere”, Nelin. Dinam., 5:3 (2009), 319–343
Citation in format AMSBIB
\by A.~V.~Borisov, I.~S.~Mamaev, S.~M.~Ramodanov
\paper Coupled motion of a rigid body and point vortices on a sphere
\jour Nelin. Dinam.
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