Generalized problem of two and four Newtonian centers

Details Generalized problem of two and four Newtonian centers Generalized problem of two and four Newtonian centers

2005-03-04

arxiv.org/abs/nlin/0503004v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

17 pages, 3 figures

Scientific paper

10.1007/s10569-005-1557-y

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.

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