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On the Original Distribution of the Asteroids

Published online by Cambridge University Press:  14 August 2015

M. Lecar
Affiliation:
Smithsonian Astrophysical Observatory and Harvard College Observatory, Cambridge, Mass. 02138, U.S.A.
F. A. Franklin
Affiliation:
Smithsonian Astrophysical Observatory and Harvard College Observatory, Cambridge, Mass. 02138, U.S.A.

Abstract

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The depletion of an initially uniform distribution of asteroids extending from Mars to Saturn, caused by the gravitational perturbations of Jupiter and Saturn, is calculated by numerical integration of the asteroid orbits. Almost all (about 85%) the asteroids between Jupiter and Saturn are ejected in the first 6000 years. Most of the asteroids between the 2/3 Jupiter resonance (4.0 AU) and Jupiter are ejected in the first 2400 years with the exception of the stable librators (e.g., the Hilda group). Interior to the 2/3 resonance the depletion was small, and interior to the 1/2 resonance (3.3 AU), no asteroids were ejected in the first 2400 years.

Type
Research Article
Copyright
Copyright © Reidel 1974 

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