The space distribution and orbital resonances of asteroids

Details The space distribution and orbital resonances of asteroids The space distribution and orbital resonances of asteroids

Dec 1989

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1989acasn..30..117l&link_type=abstract

(Acta Astronomica Sinica, vol. 30, no. 2, 1989, p. 117-125) Chinese Astronomy and Astrophysics (ISSN 0275-1062), vol. 13, Dec. 1

Statistics

Computation

Asteroids, Lagrangian Equilibrium Points, Orbital Resonances (Celestial Mechanics), Spatial Distribution, Computational Astrophysics, Dynamic Models, Gravitational Effects, Solar System

Scientific paper

A detailed numerical analysis is made of the various orbital resonances of the asteroids. The variation in the distribution of trajectories near the equilibrium points in the phase plane is examined. The analysis indicates that resonance exerts a stabilizing effect on orbit evolution. The 3/1 resonance band inside the asteroid belt has an unstable structure, and the 2/1 band at the edge is also not quite stable. Where there are other perturbing factors present, the resonance characeristic will not be preserved even in the deep resonance zone, and hence gaps will form. The 3/2 resonance band near Jupiter has a more stable structure, and hence a concentration of asteroids. For asteroids in the interior resonance bands like 3/1 and 2/1, the orbit is stable even if the resonance characteristic vanishes; for the 3/2 and 4/3 cases, the asteroids wanders away from the sun if resonance ceases. This explains why there are many asteroids around the 3/1 and 2/1 gaps forming the V-s frequency distribution.

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