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The Three-Body Interaction Effect on the Families of 3D Periodic Orbits Associated to Sitnikov Motion in the Circular Restricted Three-Body Problem

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Abstract

This paper deals with a modified version of the Circular Restricted Three-Body Problem (CR3BP). In this version, the additional effect of a three-body interaction is taken into account. In particular, we examine numerically the result of this interaction on the evolution of the well-known family of Sitnikov motion of CR3BP as well as that on the families of 3D periodic orbits bifurcating from this family.

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Acknowledgments

The authors would like to thank the anonymous reviewers for their helpful and constructive comments that led us to greatly improve the final version of the paper.

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Authors and Affiliations

  1. Department of Mathematics, University of Patras, GR-26504, Patras, Greece

    Omiros Ragos

  2. Department of Civil Engineering, University of Patras, GR-26504, Patras, Greece

    Angela E. Perdiou

  3. Department of Electrical and Computer Engineering, University of Patras, GR-26504, Patras, Greece

    Efstathios A. Perdios

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  1. Omiros Ragos
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  2. Angela E. Perdiou
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  3. Efstathios A. Perdios
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Correspondence to Omiros Ragos.

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Ragos, O., Perdiou, A.E. & Perdios, E.A. The Three-Body Interaction Effect on the Families of 3D Periodic Orbits Associated to Sitnikov Motion in the Circular Restricted Three-Body Problem. J Astronaut Sci 67, 28–58 (2020). https://doi.org/10.1007/s40295-019-00193-0

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