Jacobi Decomposition

Author: Tianjiang Shuo

Website: https://cislunarspace.cn

Definition

An analytical method that decomposes the three-body problem into an inner orbit (two-body reduced mass motion) and an outer orbit (third body motion relative to the center of mass), which can be approximated as two perturbed Keplerian motions when mass or distance ratios are favorable.

Application Value

Based on its definition, an analytical method that decomposes the three-body problem into an inner orbit (two-body reduced mass motion) and an outer orbit (third body motion relative to the center of mass), which can be appro.

  • 三体问题（Three-Body Problem）
  • 最优控制（Optimal Control）
  • 轨迹优化（Trajectory Optimization）

References

  • Marchal - 1990 - The three-body problem
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Contributors: ouyangjiahong, Ou Yang Jiahong