Periodic solutions of symmetric perturbations of the Kepler problem.

Details Periodic solutions of symmetric perturbations of the Kepler problem. Periodic solutions of symmetric perturbations of the Kepler problem.

May 2000

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2000jde...163...76c&link_type=abstract

J. Differ. Equ. (USA), Vol. 163, No. 1, p. 76 - 88

Physics

2

Celestial Mechanics: Perturbations

Scientific paper

It is proved that for any symmetric perturbation of the Kepler problem,
a circular solution of the unperturbed system with inclination different
from 0 and π gives rise to a periodic solution of the reduced
dynamics which is defined in the quotient space of the action by the
subgroup that fixes the symmetry axis.

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