Abstract
The dynamics of co-orbital motion in the restricted three-body problem are investigated by symplectic mappings. Analytical and semi-numerical mappings have been developed and studied in detail. The mappings have been tested by numerical integration of the equations of motion. These mappings have been proved to be useful for a quick determination of the phase space structure reflecting the main characteristics of the dynamics of the co-orbital problem.
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Sándor, Z., Érdi, B. & Murray, C.D. Symplectic Mappings of Co-orbital Motion in the Restricted Problem of Three Bodies. Celestial Mechanics and Dynamical Astronomy 84, 355–368 (2002). https://doi.org/10.1023/A:1021180927001
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DOI: https://doi.org/10.1023/A:1021180927001