Abstract
Recent theoretical and numerical advances in trajectory design in the three-body problem have suggested several new mission possibilities. Many of the advances have come from the application of dynamical systems theory. Where the majority of the design applications thus far are based solely on the stable and unstable manifolds associated with libration point orbits, this study seeks to utilize the center manifold. First, a reexamination of some of the fundamental motions near the libration point is presented in the context of dynamical systems theory. This approach may illuminate the relationships and transitions between the various types of motions that exist in this region of space. Additionally, the motion on certain types of tori is explored. A numerical investigation of some such tori leads to an understanding of a certain periodic configuration that may be useful in the development of new mission concepts.
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Barden, B.T., Howell, K.C. Fundamental Motions Near Collinear Libration Points and Their Transitions. J of Astronaut Sci 46, 361–378 (1998). https://doi.org/10.1007/BF03546387
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DOI: https://doi.org/10.1007/BF03546387