KAM Tori

Author: Tianjiang Shuo

Website: https://cislunarspace.cn

Definition

The central structure in Kolmogorov-Arnold-Moser theory, describing the persistence of invariant tori in near-integrable Hamiltonian systems. The paper uses KAM tori to explain the dynamical behavior of DROs under small perturbations: when subject to natural perturbations or small maneuver deviations, the spacecraft moves on invariant KAM tori near the DRO, with return times comparable to the DRO period, indicating intrinsic dynamical stability.

Application Value

This concept is essential for understanding motion characteristics in orbital design and control, and plays a vital role in mission success.

  • Minimum Norm Solution
  • Rigid Body Dynamics
  • Variable-Size Design Space, VSDS
  • Analytical Gradient

References

  • Transfer to Distant Retrograde Orbits Using Manifold Theory
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Contributors: ouyangjiahong, Ou Yang Jiahong