Stability Region

Author: Tianjiang Shuo

Website: https://cislunarspace.cn

Definition

The region of initial conditions around a triangular libration point within which the spacecraft remains bounded over its operational lifetime. For the Earth-Moon system under CR3BP, initial deviations up to tens of thousands of km are permissible, but solar perturbations render this region impractical without active control.

Application Value

In orbit design and control system analysis, the Lyapunov method provides an effective means to assess system stability without solving differential equations, particularly suitable for analyzing trans-lunar transfer orbits and orbit stability near small celestial bodies.

References

  • 刘林和刘慧根 - 2008 - 地月系中探测器定点在三角平动点附近的位置漂移及其控制问题
Improve this page
Last Updated:
Contributors: ouyangjiahong, Ou Yang Jiahong