Saddle-Type Unstable Equilibrium Point

Author: Tianjiang Shuo

Website: https://cislunarspace.cn

Definition

The dynamical nature of collinear libration points (L1, L2, L3): their linearized state matrices have eigenvalues with both positive and negative real parts, forming a saddle structure in phase space. A spacecraft near such a point diverges approximately exponentially along unstable manifolds under small perturbations, requiring continuous active control for sustained orbiting.

Application Value

This concept provides fundamental support in cislunar space research and mission design. In practical applications, the appropriate analysis method should be selected based on specific mission scenarios and constraints.

References

  • 梁伟光 等, 2017, 深空探测学报, 4(2): 166-170
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Contributors: ouyangjiahong, Ou Yang Jiahong