Hostname: page-component-cb9f654ff-p5m67 Total loading time: 0 Render date: 2025-09-01T16:27:05.358Z Has data issue: false hasContentIssue false
  • English
  • Français

On the Original Distribution of the Asteroids

Published online by Cambridge University Press:  14 August 2015

M. Lecar  and
F. A. Franklin
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

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

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.

Information

Type
Research Article
Information
Symposium - International Astronomical Union , Volume 62: The Stability of the Solar System , 1974 , pp. 37 - 56
Copyright
Copyright © Reidel 1974 

References

Brouwer, D. J.: 1963, Astron. J. 68, 152–59.CrossRefGoogle Scholar
Brown, H., Goddard, I., and Kane, J.: 1967, Astrophys. J. Suppl. Series 14, 57–123.CrossRefGoogle Scholar
Lecar, M., Loeser, R., and Cherniack, J. R.: 1973, in Bettis, D. (ed.), Solution of Differential Equations and Application to the Gravitational Problem , Springer-Verlag, Berlin (in press).Google Scholar
van Houten, C. J., van Houten-Groeneveld, I., Herget, P., and Gehrels, T.: 1970, Astron. Astrophys. Suppl. 2, 339–448.Google Scholar