Broad search for unstable resonant orbits in the planar circular restricted three-body problem |
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| Authors: | Rodney L Anderson Stefano Campagnola Gregory Lantoine |
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| Institution: | 1.Jet Propulsion Laboratory,California Institute of Technology,Pasadena,USA;2.Department of Space Flight Systems, Institute of Space and Astronautical Science,Japan Aerospace Exploration Agency,Sagamihara,Japan |
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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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