Normally Hyperbolic Invariant Manifold

Author: Tianjiang Shuo

Website: https://cislunarspace.cn

Definition

A normally hyperbolic invariant manifold that is expanding in hyperbolic directions and neutral in center directions; a bottleneck structure in phase space.

Application Value

Normally Hyperbolic Invariant Manifold plays an important role in orbital dynamics and attitude control, serving as a critical tool for analyzing spacecraft motion characteristics. Research on this concept enables optimization of orbit transfer schemes and improvement of control system performance.

  • Restricted Three-Body Problem
  • KAM Theorem
  • Hill Clohessy Wiltshire Equations
  • State Transition Function

References

  • Ross 等 - 2022 - Dynamical systems, the three-body problem, and space mission design.
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Contributors: ouyangjiahong, Ou Yang Jiahong