Mildly Unstable

Author: Tianjiang Shuo

Website: https://cislunarspace.cn

Definition

A characteristic of periodic orbits whose stability indices have magnitudes slightly greater than one. Such orbits are not strictly stable but diverge extremely slowly, and their invariant manifolds take a long time to depart the orbit vicinity. Cislunar L2 NRHOs typically exhibit mild instability, enabling near-periodic motion over extended periods while generating useful manifolds for trajectory design.

Application Value

This term在cislunar space missions中has important application value. In orbit design, it can be used foroptimizing transfer trajectories, reducing mission fuel consumption. In attitude control and dynamics analysis, it helps understandthe motion characteristics of spacecraft in complex gravitational fields, providing theoretical support for mission planning. In navigation and orbit determination, methods based on this termcan improve orbit prediction accuracy, supporting the development of autonomous navigation algorithms.

References

  • Singh et al., 2021
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Contributors: ouyangjiahong, Ou Yang Jiahong