The depletion of the outer asteroid belt

Details The depletion of the outer asteroid belt The depletion of the outer asteroid belt

Mar 1985

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985a%26a...144..261m&link_type=abstract

Astronomy and Astrophysics (ISSN 0004-6361), vol. 144, no. 2, March 1985, p. 261-274.

Astronomy and Astrophysics

Astronomy

28

Asteroid Belts, Celestial Mechanics, Orbit Perturbation, Planetary Gravitation, Solar Orbits, Three Body Problem, Chaos, Circular Orbits, Eccentric Orbits, Ejection, Elliptical Orbits, Jacobi Integral, Jupiter (Planet), Asteroids, Asteroid Belts, Depletion, Distribution, Gravity Effects, Hypotheses, Perturbations, Motion, Celestial Mechanics, Astronomy, Techniques, Analysis, Procedure, Ejection, Jupiter, Eccentricity, Time Scale, Collisions, Three-Body Problem

Scientific paper

The outstanding problem in the outer asteroid belt (a > 3.2 AU) is the evident depletion and extremely uneven distribution of the objects. The authors investigate the gravitational hypothesis with numerical experiments based on different methods. First, regions of ordered and chaotic motion are established in the framework of the restricted 3-body problem. Then the eccentricity of Jupiter is introduced and escapers are searched for in the planar elliptic restricted 3-body model. They are found from well inside the stability boundary of the Hill's criterion in the circular problem. According to these results, most of the outer asteroid belt has been depleted by ejection due to the eccentricity of Jupiter's orbit (in turn perturbed by Saturn) over short timescales of the order of 105yr. If this is true, collisions cannot have played a significant role and big asteroids rather than families of small objects should be expected in the outer belt. The observational data seem to corroborate this conclusion.

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