Initialization-Correction-Continuation

Author: Tianjiang Shuo

Website: https://cislunarspace.cn

Definition

The standard method for generating families of quasi-periodic invariant tori in the CRTBP. First, a grid of states is created near the center manifold of the reference periodic orbit, then corrected by imposing constraints including stroboscopic map fixing, zero drift along the torus, and period matching, and finally continued through perturbations along the tangential direction of the family.

Application Value

Based on its definition, the standard method for generating families of quasi-periodic invariant tori in the crtbp. first, a grid of states is created near the center manifold of the reference periodic orbit, then corrected b.

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

References

  • Capannolo 等 - 2023 - Model predictive control for formation reconfiguration exploiting quasi-periodic tori in the cislunar environment
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Contributors: ouyangjiahong, Ou Yang Jiahong