One Integrable Case of the Perturbed Two-Body Problem

Details One Integrable Case of the Perturbed Two-Body Problem One Integrable Case of the Perturbed Two-Body Problem

Jul 2004

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2004cosre..42..398p&link_type=abstract

Cosmic Research, v. 42, Issue 4, p. 398-407 (2004).

Physics

2

Scientific paper

The motion of a particle in a perturbed gravitational field of a point mass is considered. A constant force is taken as a perturbation. The L-matrix is selected in such a manner that in regular coordinates the separation of variables takes place. Integration of the equations of motion of the problem under consideration is carried out. The solutions are expressed in terms of elliptic functions. A qualitative investigation of the integrals of motion is made, and numerical examples are presented.

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