The family of potentials admitting integration of the perturbed two-body problem in regular coordinates

Details The family of potentials admitting integration of the perturbed two-body problem in regular coordinates The family of potentials admitting integration of the perturbed two-body problem in regular coordinates

Jun 2008

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2008cosre..46..202p&link_type=abstract

Cosmic Research, Volume 46, Issue 3, pp.202-214

Physics

45.50.Pk

Scientific paper

An infinite system of potentials is presented that admits separation of regular variables in the perturbed two-body problem. The regular coordinates are constructed using a specially selected L-matrix. An explicit solution to the problem in the elliptical case is constructed. In the general case the solution is reduced to inversion of hyper-elliptic integrals. The cases of motion with and without constraints are considered. The results of numerical experiments are presented.

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