Periodic Solutions for any Planar Symmetric Perturbation of the Kepler Problem

Details Periodic Solutions for any Planar Symmetric Perturbation of the Kepler Problem Periodic Solutions for any Planar Symmetric Perturbation of the Kepler Problem

Jul 2001

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2001cemda..80..119v&link_type=abstract

Celestial Mechanics and Dynamical Astronomy, v. 80, Issue 2, p. 119-132 (2001).

Astronomy and Astrophysics

Astronomy

2

Periodic Solutions, Poincaré Continuation Method, First Integral

Scientific paper

We consider perturbations of the Kepler problem that are symmetric with
respect to the origin and admit a first integral of motion which is also
symmetric with respect to the origin. It has been proved that each
circular solution of the unperturbed problem gives rise to a periodic
solution of the perturbed system.

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