Lie Transformation

Author: Tianjiang Shuo

Website: https://cislunarspace.cn

Definition

A canonical transformation method in Hamiltonian systems that constructs a generating function G to simplify the original Hamiltonian. The paper uses this method to decouple hyperbolic directions from central directions.

Application Value

该概念为地月空间任务设计提供了重要的理论基础 在实际工程中可用于轨道设计、任务规划或控制系统分析。

References

• Orbital parameter characterization and objects cataloging for Earth-moon collinear libration points
• Gómez 等 - 2001