Periodic Solutions in Hamiltonian Systems, Averaging, and the Lunar Problem

Details Periodic Solutions in Hamiltonian Systems, Averaging, and the Lunar Problem Periodic Solutions in Hamiltonian Systems, Averaging, and the Lunar Problem

May 2009

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2009dda....40.1102m&link_type=abstract

American Astronomical Society, DDA meeting #40, #11.02; Bulletin of the American Astronomical Society, Vol. 41, p.904

Astronomy and Astrophysics

Astronomy

Scientific paper

We investigate the existence, characteristic multipliers and stability of periodic solutions to a Hamiltonian vector field which is a small perturbation of a vector field tangent to the fibers of a circle bundle. Our primary examples are the planar and spatial lunar problem of celestial mechanics, i.e., the restricted three-body problem where the infinitesimal is close to one of the primaries.

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