Euler-Hill Coordinate Frame

Author: Tianjiang Shuo

Website: https://cislunarspace.cn

Definition

A relative motion coordinate frame centered on a spacecraft in a reference circular orbit. The x-axis points along the radial direction (positive away from the primary body), the y-axis along the velocity direction, and the z-axis is normal to the orbital plane. This frame provides the reference for the Clohessy-Wiltshire equations and is the foundation for proximity rendezvous and docking analysis. When the separation between two spacecraft is much smaller than the orbital radius, relative motion can be described by the linearized C-W equations.

Application Value

在轨道力学分析和任务设计中，This概念为轨道特性评估和方案比选provides理论依据，有助于优化轨道设计参数，提高任务经济性。

Related Concepts

• 地心天体参考框架（Geocentric Celestial Reference Frame）
• 运行轨道库（Operational Orbit Library）
• 月球自由返回轨道（Lunar Free-Return Orbit, LFO）
• 临界轨道（Critical Orbit）

References

• Shen和Tsiotras - 2003 - Optimal two-impulse rendezvous using multiple-revolution lambert solutions