Astronomy and Astrophysics – Astronomy
Scientific paper
Mar 1990
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1990cemda..49...43h&link_type=abstract
Celestial Mechanics and Dynamical Astronomy (ISSN 0923-2958), vol. 49, no. 1, 1990, p. 43-67.
Astronomy and Astrophysics
Astronomy
39
Hamiltonian Functions, Orbital Mechanics, Perturbation Theory, Degrees Of Freedom, Partial Differential Equations, Solar System
Scientific paper
A detailed account is given of a semi-numerical perturbation method which has been proposed and improved upon in a succession of previous papers. The method analyses the first order effect of a small perturbation applied to a nontrival two-degree-of-freedom separable Hamiltonian system (including the description of resonances) and construct approximate surfaces of section of the perturbed system. When the separable Hamiltonian system is already the description of a resonance, these resonances are actually secondary resonances. The key role of the method is the numerical description of the angle-action variables of the separable system. The method is thus able to describe the perturbations of nontrival separable systems and is not confined to the analysis of a small neighborhood of their periodic orbits.
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