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The circular restricted four-body problem

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Abstract

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.

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Authors and Affiliations

  1. Dept. of Theoretical Mechanics, University of Thessaloniki, Greece

    M. Michalodimitrakis

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  1. M. Michalodimitrakis
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Michalodimitrakis, M. The circular restricted four-body problem. Astrophys Space Sci 75, 289–305 (1981). https://doi.org/10.1007/BF00648643

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  • DOI: https://doi.org/10.1007/BF00648643

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