Poincaré Map Representation

Author: Tianjiang Shuo

Website: https://cislunarspace.cn

Definition

Representation of periodic and quasi-periodic orbit families using their intersections with the z=0 plane (Poincaré section).

Application Value

This concept is applied in cislunar space: 该轨道类型可作为地月空间运输网络的中转站或任务的目标轨道. This concept is applied in cislunar space: 该表示方法便于分析周期轨道族的结构和分岔特性.

Related Concepts

• 希尔球半径（Hill Sphere Radius）
• 伪谱凸优化（Pseudospectral Convex Optimization）
• 最小范数靶点法（Minimum Norm Targeting）
• 混合差分动态规划（Hybrid Differential Dynamic Programming, HDDP）

References

• Belló 等 - 2010 - Invariant manifolds, Lagrangian trajectories and space mission design