Celestial mechanics

, Volume 8, Issue 4, pp 473–479 | Cite as

Escape or retention in the three-body problem

  • J. S. Griffith
  • R. D. North
Article

Abstract

Sufficient conditions for escape and for retention in the three-body problem are derived which, for escape, are more stringent than those previously derived and, for retention, avoid the difficulty of containing the inverse of the mass of the escaping particle.

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References

  1. Standish, E. M.: 1971,Celest. Mech. 4, 44.Google Scholar
  2. Standish, E. M.: 1972,Celest. Mech. 6, 352.Google Scholar
  3. Tevzadze, G. A.: 1962,Izv. Akad. Naak. Armyan S.S.R. 15, 67.Google Scholar
  4. Yoshida, J.: 1972,Publ. Astron. Soc. Japan 24, 391.Google Scholar

Copyright information

© D. Reidel Publishing Company 1974

Authors and Affiliations

  • J. S. Griffith
    • 1
  • R. D. North
    • 1
  1. 1.Dept. of Mathematical ScienceLakehead UniversityThunder BayCanada

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