Nekhoroshev Theorem

Author: Tianjiang Shuo

Website: https://cislunarspace.cn

Definition

A theorem stating that action variables remain bounded for long times in near-integrable Hamiltonian systems. Provides exponential stability time estimates and describes dynamical behavior in transitions between resonance zones.

Application Value

共振轨道可用于设计长期稳定的任务轨道，减少轨道维持代价。

Related Concepts

• Hill Sphere Radius
• Pseudospectral Convex Optimization
• Poincaré Map Representation
• Minimum Norm Targeting

References

• Celletti - 2010 - Stability and chaos in celestial mechanics