Analysis of Resonance Transition Periodic Orbits in the Circular Restricted Three-Body Problem
Source abstract
Abstract
Resonance transition periodic orbits exist in the chaotic regions where the 1:1 resonance overlaps with nearby interior or exterior resonances in the circular restricted three-body problem (CRTBP). The resonance transition periodic orbits have important applications for tour missions between the interior and the exterior regions of the system. In this work, following the increase of the mass parameter μ in the CRTBP model, we investigate the breakup of the first-order resonant periodic families and their recombination with the resonance transition periodic families. In this process, we can describe in detail how the 1:1 resonance gradually overlaps with nearby first-order resonances with increasing strength of the secondary’s perturbation. Utilizing the continuation method, features of the resonance transition periodic families are discussed and characterized. Finally, an efficient approach to finding these orbits is proposed and some example resonance transition periodic orbits in the Sun–Jupiter system are presented.
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Research context
OpenAlex topics: Astro and Planetary Science · Stellar, planetary, and galactic studies · Spacecraft Dynamics and Control
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
Affiliations
School of Astronomy and Space Science, Nanjing University, Nanjing 210023, China
Institute of Space Environment and Astrodynamics, Nanjing University, Nanjing 210093, China
Key Laboratory of Modern Astronomy and Astrophysics, Ministry of Education, Nanjing 210023, China
Funding
National Natural Science Foundation of China · China Scholarship Council
References (36)
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