1, Universitetskaya str, Izhevsk 426034, Russia
Institute of Computer Science
Tronin K. G.
Absolute choreographies of point vortices on a sphere
2006, vol. 11, no. 1, pp. 123-130
New periodic solutions to the problem of three and four identical vortices on a sphere are specified. These solutions correspond to choreographies of vortices on a plane. We also describe different methods to construct choreographies for an arbitrary number of vortices. The most interesting methods are based on splitting of the static symmetrical vortex configurations on a sphere.