KAM Theorem

Author: Tianjiang Shuo

Website: https://cislunarspace.cn

Definition

The Kolmogorov-Arnold-Moser theorem, stating that non-resonant invariant tori persist under sufficiently small perturbations in nearly integrable Hamiltonian systems.

Application Value

KAM Theorem 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.

Related Concepts

• Restricted Three-Body Problem
• Hill Clohessy Wiltshire Equations
• State Transition Function
• Lagrangian Coefficients

References

• Gómez 等 - 2001.
• Marchal - 1990 - The three-body problem.