| Abstract: |
| The phenomenon of mean-motion resonance overlapping is known to be crucial for the generation of large-scale instability in celestial systems, and is useful for low-energy space mission trajectory design. In most related prior work, the model used is the planar CRTBP (PCRTBP). However, when designing tours of multi-moon systems, it is necessary to transition between resonances contained in regions of the phase space which are strongly affected by two moons, requiring at least a restricted 4-body model.
In this work, we investigate the Jupiter-Ganymede unstable 4:3 interior resonant orbits in a concentric circular restricted 4-body problem (CCR4BP) modeling the Jupiter-Europa-Ganymede system. In the PCRTBP, where Europa`s mass is neglected, this is a one-parameter family of unstable periodic orbits, where eccentricity can be used as the parameter. However, the more eccentric PCRTBP orbits do not continue successfully into the CCR4BP as tori. In this study, we show that this is due to the overlapping of secondary resonances with Europa inside the Jupiter-Ganymede resonant orbit family. The most prominent secondary resonances are 11/34, 12/37, 23/71, and 25/77. We also discuss the new objects which are expected to appear inside the secondary resonances and their potential applications. |
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