Generalized problem of two and four Newtonian centers
Exactly Solvable and Integrable Systems
2009-11-11 v1
Abstract
We consider integrable spherical analogue of the Darboux potential, which appear in the problem (and its generalizations) of the planar motion of a particle in the field of two and four fixed Newtonian centers. The obtained results can be useful when constructing a theory of motion of satellites in the field of an oblate spheroid in constant curvature spaces.
Cite
@article{arxiv.nlin/0503004,
title = {Generalized problem of two and four Newtonian centers},
author = {A. Borisov and I. Mamaev},
journal= {arXiv preprint arXiv:nlin/0503004},
year = {2009}
}
Comments
17 pages, 3 figures