Center Subspace
Author: Tianjiang Shuo
Website: https://cislunarspace.cn
Definition
In linearized analysis near a collinear libration point, the subspace spanned by eigenvectors corresponding to eigenvalues with modulus equal to 1. Both periodic and quasi-periodic orbits exist within the center subspace. Unlike the stable and unstable directions of the saddle-type subspace, motions within the center subspace neither diverge nor converge, sustaining quasi-periodic oscillations.
Application Value
在轨道设计和转移轨道优化中，该方法用于确定最优转移时机和轨道形状，以最小化燃料消耗或飞行时间. 通过数值仿真和迭代优化，可获得满足任务约束的可行轨道方案.
Related Concepts
- Hill 模型（Hill Model）
- 惯性坐标系固定编队（Formation Fixed Relative to Inertial Frame）
- 受摄Lambert问题（Perturbational Lambert Problem）
- 探测器定位（Probe Targeting）
References
- Folta et al., 2014, Acta Astronautica
- Guzzetti 等 - 2016
- Spreen 2021