A Perturbative Treatment of Motion near the 3/1 Commensurability
نویسنده
چکیده
A semianalyt ic per turbat ion theory for motion near the 3/1 commensurabi l i ty in the planar elliptic restr icted 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 unders tanding of the phase space is achieved. The unusual features of the motion discovered by J. Wisdom (1982, Astron. J. 87, 577-593; 1983a, Icarus 56, 51-74) are explained. The principal cause of the large chaotic zone near the 3/1 commensurabi l i ty is identified, and a new criterion for the exis tence of large-scale chaotic behavior is presented. ~, 1985 Academic Press. Inc.
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