KAM Theory

Author: Tianjiang Shuo

Website: https://cislunarspace.cn

Definition

Kolmogorov-Arnold-Moser theory, describing the stability of invariant tori in near-integrable Hamiltonian systems. In the restricted three-body problem, KAM curves act as topological barriers to diffusion.

Application Value

This term has significant application value in cislunar space missions。In the orbital design phase, engineers use relevant theories for trajectory optimization；In navigation and orbit determination, it is used to improve measurement accuracy；In attitude control and orbit maintenance tasks, it ensures stable spacecraft operation。In practical applications, parameter optimization and algorithm adaptation can be combined with mission requirements to improve mission success rate and resource utilization efficiency。

  • Characteristic Exponents
  • Capture Docking Phase
  • Lunar Flyby Transfer

References

  • Perozzi和Ferraz-Mello - 2010 - Space manifold dynamics
  • Meyer和Offin - 2017
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Contributors: ouyangjiahong, Ou Yang Jiahong