Patched Restricted Three-Body Problem

Author: Tianjiang Shuo

Website: https://cislunarspace.cn

Definition

An approach that approximates the four-body problem by superposing two CRTBPs sharing a common primary (e.g., Sun-Earth and Earth-Moon). Transfer trajectories are found by detecting intersections of invariant manifolds on selected Poincaré sections. Computationally much cheaper than full four-body models.

Application Value

This method approximates four-body dynamics by superposing two CRTBPs, computationally much cheaper than full four-body models and widely used in Earth-Moon low-energy transfer design.

References

  • Zanzottera et al. 2011, §3
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Contributors: ouyangjiahong, Ou Yang Jiahong