Vertically Unstable Manifold

Author: Tianjiang Shuo

Website: https://cislunarspace.cn

Definition

The unstable manifold associated with the vertical instability of planar Lyapunov orbits. Perturbations along the unstable eigenvector direction grow exponentially over time, providing natural transport pathways for studying out-of-plane deviation evolution.

Application Value

在垂直不稳定流形的设计与分析中，可用于优化转移方案，减少燃料消耗 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

• Oshima, 2019, Celestial Mechanics and Dynamical Astronomy