Bicircular Restricted Four-Body Problem, BCR4BP

Author: Tianjiang Shuo

Website: https://cislunarspace.cn

Definition

A four-body model that introduces perturbation of a third body (such as the Moon or Sun) on the restricted three-body problem. In this model, two primary bodies orbit each other while a third body moves in a circular orbit around one primary, making the system non-autonomous. The paper uses two variants: the Sun-Earth-Moon BCR4BP and the Earth-Moon-Sun BCR4BP.

Application Value

This provides a fundamental theoretical framework for cislunar dynamics modeling and analysis, serving as a mathematical tool for studying spacecraft motion.

References

  • Campana 等 - 2024 - Low-energy earth–moon transfers via theory of functional connections and homotopy.
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Contributors: ouyangjiahong, Ou Yang Jiahong