Tisserand Relation

Author: Tianjiang Shuo

Website: https://cislunarspace.cn

Definition

An approximate relation derived from the Jacobi integral in the restricted three-body problem, connecting orbital elements before and after a planetary encounter, used to identify whether an object has undergone a close planetary encounter.

Application Value

该模型是分析地月空间动力学、设计低能量转移轨道的基础工具。该矩阵在可观测性分析和滤波器设计中起关键作用。

Related Concepts

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

References

• Murray & Dermott 1999, Sect. 3.4