4th Body-Induced Secondary Resonance Overlapping Inside Unstable Resonant Orbit Families: a Jupiter-Ganymede 4:3 + Europa Case Study
Abstract
The overlapping of mean-motion resonances is useful for low or zero-propellant space mission design, but while most related prior work uses a planar CRTBP model, tours of multi-moon systems require using resonances affected by two moons. In this case study, we investigate Jupiter-Ganymede unstable 4:3 resonant orbits in a concentric circular restricted 4-body Jupiter-Europa-Ganymede model. We show that despite their high order, secondary resonances between the 4:3 orbits and Europa have a large effect, including 11/34, 12/37, 23/71, and 25/77. Computing newly generated objects inside the secondary resonances definitively confirms their overlap, which causes a complete structural change of the higher-energy unstable 4:3 orbits whose manifolds are most useful for low-TOF orbit transfers. We believe this phenomenon is general, with major implications for resonant orbit use in tour design.
- Publication:
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arXiv e-prints
- Pub Date:
- September 2023
- DOI:
- 10.48550/arXiv.2309.06073
- arXiv:
- arXiv:2309.06073
- Bibcode:
- 2023arXiv230906073K
- Keywords:
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- Astrophysics - Earth and Planetary Astrophysics;
- Mathematics - Dynamical Systems;
- Nonlinear Sciences - Chaotic Dynamics;
- 70M20
- E-Print:
- 20 pages, 12 figures