Restrepo, R.L., Russell, R.P., “A Database of Planar Axi-Symmetric Periodic Orbits for the Solar System,” Celestial Mechanics and Dynamical Astronoimy (2018) 130: 49. https://doi.org/10.1007/s10569-018-9844-6
LINK to zip file for whole database
LINK to google drive interactive to each system
Abstract:
A multiple grid search strategy is implemented to generate a broad database of axisymmetric three-body periodic orbits for planets and main planetary satellites in the Solar System. The grid search is implemented in a two-level scheme. First, a global search is applied to each system in order to capture the global structure of most existing families, followed by a local grid search, centered around a few fundamental families, where useful, highly sensitive periodic orbits emerge. A robust differential corrector is implemented with a full second-order trust region method in order to efficiently converge the highly sensitive solutions. The periodic orbit database includes solutions that 1) remain in the vicinity of the secondary only; 2) circulate the primary only via inner or outer resonances; and 3) connect both resonance types with orbits in the vicinity of the secondary. The latter solutions approximate heteroclinic connections, and are characterized and presented in detail using a descriptive nomenclature. The periodic orbit search is performed over 26 pairs of bodies in the Solar System that are well approximated by the circular restricted three-body problem, resulting in approximately 3 million periodic solutions. Initial conditions, stability indices, and other dynamical parameters that allow for the solution characterization are computed and archived. The data and sample scripts are made available online.
Also see the application paper:
Restrepo, R.L., Russell, R.P., “Patched Periodic Orbits: A Systematic Strategy for Low Energy Transfer Design,” Paper AAS 17-695, AAS/AIAA Astrodynamics Specialist Conference, Stevenson, WA, Aug 2017. (peer-reviewed version in progress)