Generating Function

Author: Tianjiang Shuo

Website: https://cislunarspace.cn

Definition

An auxiliary function in Lie transformation that achieves coordinate transformation through Poisson bracket operations. The nth-order generating function Gn is used to eliminate specific terms of order n in the Hamiltonian.

Application Value

该概念是分析地月空间动力学行为的基础工具。在轨道设计和任务分析中具有重要应用价值。

Related Concepts

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

References

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