The motion of a particle in perturbed field of an attracting center

Details The motion of a particle in perturbed field of an attracting center The motion of a particle in perturbed field of an attracting center

Dec 2007

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2007cosre..45..493p&link_type=abstract

Cosmic Research, Volume 45, Issue 6, pp.493-505

Physics

46.50.Jf, 45.50.Pk

Scientific paper

The integrable case of the perturbed two-body problem is considered. The perturbation is determined by the potential of a special form. The L-matrix is chosen in such a way that partial separation of variables should take place in regular coordinates. Integration of the equations of motion of the problem under consideration is made. The solutions are expressed through elliptic functions. The orbits for various cases are constructed. The results of numerical calculations are given.

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