Application of Wisdom's perturbative method for 5:2 and 7:3 resonances

Details Application of Wisdom's perturbative method for 5:2 and 7:3 resonances Application of Wisdom's perturbative method for 5:2 and 7:3 resonances

Sep 1992

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992icar...99..175y&link_type=abstract

Icarus (ISSN 0019-1035), vol. 99, no. 1, p. 175-190.

Computer Science

3

Asteroids, Eccentricity, Orbit Perturbation, Orbital Resonances (Celestial Mechanics), Hamiltonian Functions, Solar Orbits, Three Body Problem

Scientific paper

The present comparison of results obtained through the application of Wisdom's (1985) method to 5:2 and 7:3 resonances with the results of the Yoshikawa (1991) nontruncated model indicate that while agreement is good in the case of moderate eccentricity values in the case of 5:2, a clear difference arises between this and the 7:3 resonance. While the former can accumulate significant variations in eccentricity, the latter's minimum eccentricity cannot be less than a value near 0.1. This contrasts with the case of 5:2 commensurability, where chaos seems to be related to major eccentricity variations.

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