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This article is cited in 43 scientific papers (total in 43 papers)
Effective computations in modern dynamics
Two-body problem on a sphere. Reduction, stochasticity, periodic orbits
A. V. Borisov, I. S. Mamaev, A. A. Kilin Institute of Computer Science,
Udmurt State University,
Universitetskaya, 1, 426034, Izhevsk, Russia
Abstract:
We consider the problem of two interacting particles on a sphere. The potential of the interaction depends on the distance between the particles. The case of Newtonian-type potentials is studied in most detail. We reduce this system to a system with two degrees of freedom and give a number of remarkable periodic orbits. We also discuss integrability and stochastization of the motion.
Received: 25.06.2004
Citation:
A. V. Borisov, I. S. Mamaev, A. A. Kilin, “Two-body problem on a sphere. Reduction, stochasticity, periodic orbits”, Regul. Chaotic Dyn., 9:3 (2004), 265–279
Linking options:
https://www.mathnet.ru/eng/rcd746 https://www.mathnet.ru/eng/rcd/v9/i3/p265
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Abstract page: | 174 |
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