three-body Lambert problem

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

Definition

The problem of finding a transfer trajectory between two points within a given time in the circular restricted three-body problem. Because no analytical solution exists, a two-body Lambert solution is used as an initial guess, then iteratively refined via the state transition matrix until convergence.

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

  • 彭蕾等, 基于三体问题的地月空间中转站轨道设计, 飞行力学学报, 2024
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Contributors: ouyangjiahong, Ou Yang Jiahong