Physics – Plasma Physics
Scientific paper
Feb 1990
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1990icar...83..391l&link_type=abstract
Icarus (ISSN 0019-1035), vol. 83, Feb. 1990, p. 391-409.
Physics
Plasma Physics
45
Celestial Mechanics, Chaos, Stochastic Processes, Three Body Problem, Degrees Of Freedom, Fluid Mechanics, Plasma Physics, Asteroids, Chaos, Kirkwood Gap, Resonance, Three-Body Problem, Layers, Perturbations, Numerical Methods, Techniques, Eccentricity, Formation, Calculations, Diagrams, Motion, Celestial Mechanics, Boundaries, Orbits, Mars Crossers
Scientific paper
The Henrard and Lemaitre (1986) perturbation method is presently applied to the 2/1 Jovian resonance, in the planar elliptic three-body problem, in order to identify those features leading to the generation of chaotic layers. These features are (1) the crossing of the separatrices of the 'circular' problem and (2) separatrices of the one-DOF system, averaged over the circular problem's libration. The 2/1 resonance's semianalytical treatment compares favorably with the numerical results of Murray (1986) and Wisdom (1987); a large volume of the phase space appears unaffected by these chaotic layers, and exhibits no eccentricity increases sufficient to render the asteroid's orbit a Mars-crosser. The theory of 2/1 Kirkwood gap formation through asteroid removal by Martian encounters is not supported by these results.
Henrard Jacques
Lemaître Aristide
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