A perturbative treatment of motion near the 3/1 commensurability

Details A perturbative treatment of motion near the 3/1 commensurability A perturbative treatment of motion near the 3/1 commensurability

Aug 1985

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985icar...63..272w&link_type=abstract

Icarus (ISSN 0019-1035), vol. 63, Aug. 1985, p. 272-289.

Statistics

Computation

135

Equations Of Motion, Orbital Elements, Perturbation Theory, Three Body Problem, Celestial Mechanics, Chaos, Computational Astrophysics, Elliptical Orbits, Asteroids, Perturbation, Motion, Theoretical Studies, Three-Body Problem, Features, Distribution, Hypotheses, Celestial Mechanics

Scientific paper

A semianalytic perturbation theory for motion near the 3/1 commensurability in the planar elliptic restricted three-body problem is presented. The predictions of the theory are in good agreement with the features found on numerically generated surfaces of section; a global understanding of the phase space is achieved. The unusual features of the motion discovered by J. Wisdom (1982) are explained. The principal cause of the large chaotic zone near the 3/1 commensurability is identified, and a new criterion for the existence of large-scale chaotic behavior is presented.

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