Potentials allowing integration of the perturbed two-body problem in regular coordinates
Автор: Poleshchikov S.M.
Журнал: Известия Коми научного центра УрО РАН @izvestia-komisc
Статья в выпуске: 6 (52), 2021 года.
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The problem of separation of variables in some coordinate systems obtained with the use of L-transformations is studied. Potentials are shown that allowseparation of regular variables in a perturbed two-body problem. The potential contains two arbitrarysmooth functions. An example of a potential is considered allowing explicit solution of the problem interms of elliptic functions. The cases of boundedand unbounded motion are shown. The results ofnumerical experiments are given.
Perturbed two-body problem, l-matrices, integrability, elliptic functions
Короткий адрес: https://sciup.org/149139331
IDR: 149139331 | DOI: 10.19110/1994-5655-2021-6-20-35
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