Relaxation-chaos phenomena in celestial mechanics I. On wisdom's model for the 3/1 kirkwood gap

Details Relaxation-chaos phenomena in celestial mechanics I. On wisdom's model for the 3/1 kirkwood gap Relaxation-chaos phenomena in celestial mechanics I. On wisdom's model for the 3/1 kirkwood gap

May 1987

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987phyd...26...85k&link_type=abstract

Physica D: Nonlinear Phenomena, Volume 26, Issue 1-3, p. 85-122.

Physics

8

Scientific paper

Sudden eccentricity increases of asteroidal motion in 3/1 resonance with Jupiter were discovered and explained by J. Wisdom through the occurrence of jumps in the action corresponding to the critical angle (resonant combination of the mean motions). We pursue some aspects of this mechanism, which could be termed relaxation-chaos: that is, an unconventional form of homoclinic behavior arising in perturbed integrable Hamiltonian systems for which the KAM theorem hypothesis do not hold.

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