Floquet reference solutions for the lunar theory and jovian moon system

Details Floquet reference solutions for the lunar theory and jovian moon system Floquet reference solutions for the lunar theory and jovian moon system

Aug 1980

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1980aiaa.confq....w&link_type=abstract

American Institute of Aeronautics and Astronautics and American Astronautical Society, Astrodynamics Conference, Danvers, Mass.,

Astronomy and Astrophysics

Astronomy

Celestial Mechanics, Galilean Satellites, Moon, Orbital Mechanics, Three Body Problem, Eccentricity, Libration, Perturbation Theory

Scientific paper

The lunar theory and the problem of Jupiter's Galilean satellites are posed in Jacobi coordinates. For both problems a reference solution is constructed, consisting of a periodic orbit and associated Floquet modes. Although these solutions are obtained numerically, they introduce a full set of literal variables for perturbation work. In the jovian problem, difficulties with resonances are avoided, since perturbations are expanded in the Poincare exponents, not the keplerian frequencies. The modes for the inner three jovian satellites are discussed in detail.

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