A Simple Generalization of Wisdom`s Perturbative Method

Details A Simple Generalization of Wisdom`s Perturbative Method A Simple Generalization of Wisdom`s Perturbative Method

Sep 1996

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1996cemda..64..243y&link_type=abstract

Celestial Mechanics & Dynamical Astronomy, Volume 64, Issue 3, pp.243-260

Astronomy and Astrophysics

Astronomy

Perturbative Methods, Chaos, Resonance, Adiabatic Invariant, Asteroids

Scientific paper

A simple generalization of Wisdom's perturbative method, as originally proposed by Wisdom (1985), is obtained. Any number of resonant cosines can be handled and the method can also accommodate more involved disturbing functions. Averaged trajectories are easily obtained by drawing level curves of the action. Here, the method is first tested for simple models of 3:1 and 2:1 resonant problems. Comparisons with numerical integration and surface-section curves show very good agreements.

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