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Broad search for unstable resonant orbits in the planar circular restricted three-body problem

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Abstract

Unstable resonant orbits in the circular restricted three-body problem have increasingly been used for trajectory design using optimization and invariant manifold techniques. In this study, several methods for computing these unstable resonant orbits are explored including grid searches, flyby maps, and continuation. Families of orbits are computed focusing on orbits with multiple loops near the secondary in the Jupiter–Europa system, and their characteristics are explored. Different parameters such as period and stability are examined for each set of resonant orbits, and the continuation of several specific orbits is explored in more detail.

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Acknowledgments

The research presented here has been carried out at the Jet Propulsion Laboratory, California Institute of Technology, under a contract with the National Aeronautics and Space Administration. Funding for this research came from AMMOS/MGSS under the “Tour and Endgame Design using Invariant Manifolds” study. The authors would like to thank Martin Lo, Jon Sims, Try Lam, and Channing Chow for their helpful comments and conversations. They would also like to thank the anonymous reviewers for their helpful suggestions.

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  1. Jet Propulsion Laboratory, California Institute of Technology, 4800 Oak Grove Drive, M/S 301-121, Pasadena, CA, 91109, USA

    Rodney L. Anderson & Gregory Lantoine

  2. Department of Space Flight Systems, Institute of Space and Astronautical Science, Japan Aerospace Exploration Agency, Yoshinodai 3-1-1, Sagamihara, Kanagawa, 252-5210, Japan

    Stefano Campagnola

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Anderson, R.L., Campagnola, S. & Lantoine, G. Broad search for unstable resonant orbits in the planar circular restricted three-body problem. Celest Mech Dyn Astr 124, 177–199 (2016). https://doi.org/10.1007/s10569-015-9659-7

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