Geometry of Poincaré's Variables and the Secular Planetary Problem

Details Geometry of Poincaré's Variables and the Secular Planetary Problem Geometry of Poincaré's Variables and the Secular Planetary Problem

Mar 2004

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2004cemda..89..165c&link_type=abstract

Celestial Mechanics and Dynamical Astronomy, v. 89, Issue 2, p. 165-179 (2004).

Astronomy and Astrophysics

Astronomy

1

Perturbation Theory, Poincaré Variables, Planetary Problem, Averaging Method, Poincar&Eacute, Variables

Scientific paper

A method for the expansion of the perturbative Hamiltonian in the planetary problem is presented, which allows one to immediately detect the terms vanishing under the averaging process. The method bases itself on a geometrical analysis, through the groups SO(3) and SU(2), of the Poincaré canonical variables or of the similar Laplace variables. As an outcome, one obtains a MAPLE program, which calculates the first averaged terms of the perturbative Hamiltonian.

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