Natural Continuation
Author: Tianjiang Shuo
Website: https://cislunarspace.cn
Definition
A class of numerical methods that traces an orbit family continuously. Starting from a known orbit's initial conditions, the parameter (e.g., the apolune abscissa x0) is incrementally changed, and the current solution seeds the iteration for the next orbit, sweeping out the entire family. This approach is far more efficient than searching from scratch and is the standard technique for computing halo orbit families.
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
- 同步旋转坐标系（Synodic Rotating Frame）
- 网格搜索（Grid Search）
- Gauss求积公式（Gauss Quadrature Formula）
- 星座构型向量（Constellation Pattern Vector）
References
- Conti and Circi, 2025, Design of halo orbit constellation for lunar global positioning and communication services