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


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.


Periodic Orbit Critical Orbit Vertical Critical Orbit 


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  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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