Syzygy Rotating Frame

Author: Tianjiang Shuo

Website: https://cislunarspace.cn

Definition

A canonical form of the Sun-Earth barycentric rotating frame. Origin at the Sun-Earth barycenter, x-axis pointing from Earth to Sun, z-axis along the ecliptic normal aligned with Earth's orbital axis, y-axis by right-hand rule. The frame rotates at Earth's orbital angular velocity. The paper performs Halo orbit computation, error dynamics derivation, and simulation in this frame. Note the x-axis convention (Earth toward Sun) is opposite to some other references (Sun toward Earth).

Application Value

在Syzygy旋转坐标系的设计与分析中，可用于优化转移方案，减少燃料消耗 用于分析航天器在复杂引力场中的运动特性 用于评估导航系统的精度上限，指导滤波器设计。

References

• 徐明和徐世杰 - 2008 - Halo轨道维持的线性周期控制策略