Astrophysics and Space Science

, Volume 75, Issue 2, pp 289–305 | Cite as

The circular restricted four-body problem

  • M. Michalodimitrakis


By generalizing the restricted three-body problem, we introduce the restricted four-body problem. We present a numerical study of this problem which includes a study of equilibrium points, regions of possible motion and periodic orbits. Our main motivation for introducing this problem is that it can be used as an intermediate step for a systematic exploration of the genral four-body problem. In an analogous way, one may introduce the restrictedN-body problem.


Periodic Orbit Equilibrium Point Main Motivation Intermediate Step Systematic Exploration 
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Copyright information

© D. Reidel Publishing Co 1981

Authors and Affiliations

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

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