The reduction to the rotation for planar perturbed Keplerian systems

Details The reduction to the rotation for planar perturbed Keplerian systems The reduction to the rotation for planar perturbed Keplerian systems

Mar 1983

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1983cemec..29..229d&link_type=abstract

Celestial Mechanics (ISSN 0008-8714), vol. 29, March 1983, p. 229-247.

Physics

14

Kepler Laws, Lie Groups, Orbit Perturbation, Rotating Bodies, Satellite Perturbation, Eccentric Orbits, Hamiltonian Functions, Laplace Transformation, Orbital Mechanics, Rotary Stability, Vector Spaces

Scientific paper

After the mean anomaly has been removed from the perturbations, the reduced Hamiltonian becomes a function over the Lie algebra determined by the infinitesimal generators associated with the dynamical symmetries of an unperturbed Keplerian system. The phase space being now the group SO(3), average motions consist of rotations, and the normalized Hamiltonian serves as a Morse function whose critical points determine the intrinsic topology of the perturbed system.

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