Exponential Error Divergence
Author: Tianjiang Shuo
Website: https://cislunarspace.cn
Definition
Phenomenon in which orbit prediction errors around collinear libration points grow exponentially with time: ||ΔX|| ~ ||ΔX₀|| · e^(δT), where δ is the divergence rate constant and T is the prediction time. This is a direct manifestation of orbital instability: initial position errors on the order of tens of meters can diverge to tens of kilometers within about ten days.
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
- 邓辉 等 - 2017 - 地月系共线平动点探测器的星上轨道预报问题