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Conditions for Escape and Retention

Published online by Cambridge University Press:  14 August 2015

J. S. Griffith*
Affiliation:
Lakehead University, Thunder Bay, Ontario, Canada P7B SE1

Abstract

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The methods used in deriving conditions for escape, retention and containment for the three-body problem are applied to the n-body case, and similar conditions are obtained. In the n-body problem less stringent conditions are derived, and in the case of retention a further condition is imposed.

Type
Research Article
Copyright
Copyright © Reidel 1974 

References

Chazy, J.: 1922, Ann. Sci. École Norm. Sup. 39.CrossRefGoogle Scholar
Griffith, J. S. and North, R. D.: 1974, Celes. Mech. 8, 473.CrossRefGoogle Scholar
Kurth, R.: 1957, Introduction to the Mechanics of Stellar Systems , Pergamon, p. 92.Google Scholar
Standish, E. M.: 1971, Celes. Mech . 4, 44.CrossRefGoogle Scholar
Standish, E. M.: 1972, Celes. Mech. 6, 352.Google Scholar
Tevzadze, G. A.: 1962, Izv. Akad. Nauk Armyan SSR 15, No. 5, p. 67.Google Scholar
Yoshida, J.: 1972, Publ. Astron. Soc. Japan 24, 391.Google Scholar