Hill Model
Author: Tianjiang Shuo
Website: https://cislunarspace.cn
Definition
An approximate model of the restricted three-body problem, applicable when the spacecraft's range of motion is much smaller than the distance between the two primary bodies. Under the Hill model, the three-body Lambert problem can be solved via a two-layer iteration method that simultaneously corrects initial and final position vectors. Sukhanov and Prado proposed a Lambert solver with good convergence based on this model.
Application Value
在轨道动力学数值仿真中，该方法用于提高计算精度和效率. 通过合理的离散化策略，可以在保证数值稳定性的同时大幅减少计算量.
Related Concepts
- 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）
- 遗传算法（Genetic Algorithm）
References
- 基于三体Lambert算法的平动点交会轨道设计