Abstract
We report on recent research of the elliptic restricted three-body-problem concerning the motion of Asteroids in the 2/1, 3/1 and 1/1 mean motion resonances with Jupiter. In a recent review (J.Henrard, 1988) one can find a detailed description of the problem of the Kirkwood gaps. Therefore we concentrate on the new results of the last three years derived numerically and analytically. It is interesting that some of these asteroids originally in a gap can reach such high eccentricities, that they can become Mars crossers, Jupiter crossers and even, in exceptional cases Earth crossers. Such a close approach with a major planet can throw out the body from the main belt or can cause a collision! We also present new results of the largeness of stable zones around the Lagrangean equilibrium points L 4 and L 5 and compare them with existing ones.
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Dvorak, R. Progress in the elliptic restricted 3-body problem: Asteroids in the 2/1, 3/1 and 1/1 resonance. Celestial Mech Dyn Astr 54, 195–205 (1992). https://doi.org/10.1007/BF00049552
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DOI: https://doi.org/10.1007/BF00049552