Abstract
The problem of separation of variables in some coordinate systems obtained with the use of L-transformationsis studied. Potentials are shown that allow separation of regular variables in a perturbed twobody problem. The potential contains two arbitrary smooth functions. An example of a potential is considered allowing explicit solution of the problem in terms of elliptic functions. The cases of boundedand unbounded motion are shown. The results of numerical experiments are given.
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More From: Proceedings of the Komi Science Centre of the Ural Division of the Russian Academy of Sciences
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