Perturbational Lambert Problem
Author: Tianjiang Shuo
Website: https://cislunarspace.cn
Definition
A two-point boundary value problem solved under multi-body gravitational perturbation environments. The classical Lambert problem solves a transfer orbit from position r1 to r2 under the two-body assumption, while the perturbational Lambert problem must be solved under cislunar three-body or four-body dynamics models. Due to perturbational motion, the initial Lambert solution cannot precisely reach the target position, requiring iterative correction through the homotopy iteration method until convergence to a transfer velocity meeting accuracy requirements.
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）
- 探测器定位（Probe Targeting）
- 遗传算法（Genetic Algorithm）
References
- Debris Cloud Evolution in Cislunar Space Using Eulerian Perspective Method