Coupled Three-Body Problem

Author: Tianjiang Shuo Website: https://cislunarspace.cn

Definition

A dynamical framework that kinematically links the rotating frames of two circular restricted three-body problems through a relative orbital phase angle. For Earth-Moon transfers, it couples the Sun-Barycenter and Earth-Moon rotating frames, enabling searches for trajectory intersections across the two three-body systems to design low-energy transfer orbits.

Application Value

This concept plays a key role in trajectory transfer design, helping evaluate transfer costs and flight time to provide quantitative basis for mission trade studies. Combined with global search algorithms, multiple solution families and Pareto frontiers can be identified to guide orbital design decisions.

References

  • Ren et al., Celest. Mech. Dyn. Astron. (2012)
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Contributors: ouyangjiahong, Ou Yang Jiahong