Motions of asteroids at the Kirkwood Gaps. II - On the 5:2, 7:3, and 2:1 resonances with Jupiter

Physics

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Asteroids, Orbital Resonances (Celestial Mechanics), Solar Orbits, Three Body Problem, Equations Of Motion, Jupiter (Planet), Orbit Perturbation

Scientific paper

Semianalytical and numerical methods are presently used to characterize the behavior of asteroids at three different resonances with Jupiter, within the framework of the elliptical restricted three-body problem. While in the 5:2 resonance the eccentricities of asteroid orbits change significantly in most of the resonance regions, most eccentricity changes in the 7:3 resonance occur in the central portion of the resonance. Little change is noted for the 2:1 resonance. While these results support an origin of the Kirkwood gaps at the 3:1 and 5:2 resonances in a scenario involving collision with major planets, the origin of the 2:1 and 7:3 resonances lies elsewhere.

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