Motions of asteroids at the Kirkwood gaps. I - On the 3:1 resonance with Jupiter

Details Motions of asteroids at the Kirkwood gaps. I - On the 3:1 resonance with Jupiter Motions of asteroids at the Kirkwood gaps. I - On the 3:1 resonance with Jupiter

Sep 1990

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1990icar...87...78y&link_type=abstract

Icarus (ISSN 0019-1035), vol. 87, Sept. 1990, p. 78-102.

Computer Science

40

Asteroids, Equations Of Motion, Orbit Calculation, Orbital Mechanics, Orbital Resonances (Celestial Mechanics), Numerical Integration, Orbital Elements, Perturbation Theory, Three Body Problem

Scientific paper

The present study of the 3:1 resonance behavior of asteroids in a large-parameter region proceeds through a qualitative, semianalytical investigation of asteroid motions to a more quantitative treatment in which asteroid orbit changes are obtained with numerical integrations in the framework of a planar-elliptical three-body problem. It is found that the variations in a and sigma are complex, and that the variations in e and omega directly depend on the behavior of these elements. Virtually all numbered asteroids avoid the region in which the resonance occurs in the a-e plane; the eccentricities of most resonance-region asteroids change markedly over a 10,000-100,000 year period.

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