Abstract
A new family of periodic orbits of the three-dimensional restricted three-body problem which continue off from a consecutive collision orbit are numerically studied. Their behavior for varying energy is unexpected. In particular, associated with our system is a countable set of resonant energy values and each time the energy passes through one of them the periodic orbit forms a loop by self-intersection. Any number of loops can form by this process and the resulting orbits take on an interesting appearance.
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References
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Belbruno, E.A. A new family of periodic orbits for the restricted problem. Celestial Mechanics 25, 195–217 (1981). https://doi.org/10.1007/BF01230520
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DOI: https://doi.org/10.1007/BF01230520