principal stretching direction

Author: Tianjiang Shuo

Website: https://cislunarspace.cn

Definition

The eigenvector corresponding to the largest singular value of the Cauchy-Green tensor. Impulses applied along this direction produce the maximum change in final state, serving as a practical substitute for unstable manifolds in low-energy transfer design.

Application Value

主拉伸方向是最大拉伸特征值对应的特征向量方向，轨道设计师沿该方向机动以最快改变轨道能量，是转移轨道设计的参考方向。

Related Concepts

• Asymptotic Solution
• Perilune Database
• Libration Point Orbit Cataloging
• Floquet Modal Method

References

• 彭蕾等, 基于三体问题的地月空间中转站轨道设计, 飞行力学学报, 2024