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Astrophysics and Space Science

, Volume 58, Issue 1, pp 125–129 | Cite as

The bifurcation of periodic orbits of the planar circular restrictedN-body problem to the three-dimensional generalN-body problem

  • M. Michalodimitrakis
Article

Abstract

It is proved that the vertical critical orbits of the planar circular restricted three-body problem can be used as starting points for finding periodic orbits of the three-dimensional generalN-body problem. A numerical example is given.

Keywords

Periodic Orbit Critical Orbit Vertical Critical Orbit 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. Hénon, M.: 1973,Astron. Astrophys. 28, 415.Google Scholar
  2. Ichtiaroglou, S., Katopodis, K. and Michalodimitrakis, M.: 1978 to appear inAstron. Astrophys. Michalodimitrakis, M.: 1978 (in preparation).Google Scholar

Copyright information

© D. Reidel Publishing Company 1978

Authors and Affiliations

  • M. Michalodimitrakis
    • 1
  1. 1.Dept of Theoretical MechanicsUniversity of ThessalonikiThessalonikiGreece

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