Earth-Moon Rotating Frame

Author: Tianjiang Shuo

Website: https://cislunarspace.cn

Definition

A rotating reference frame with origin at the Earth-Moon barycenter, x-axis pointing toward the Moon, and z-axis aligned with the lunar orbital angular momentum. In the CRTBP it rotates at constant angular velocity; in the ERTBP the angular velocity varies with the Earth-Moon distance. This frame is the standard reference for formulating restricted three-body dynamics in the Earth-Moon system, where libration points and invariant manifolds are defined.

Application Value

The Earth-Moon Rotating Frame plays a significant role in cislunar space mission design, analysis, and control. In orbital design, it can be leveraged for transfer trajectory optimization; in navigation and control, it improves mission execution precision and reliability; in system analysis, it facilitates deeper understanding of complex multi-body dynamical behavior, guiding mission planning and risk assessment.

Related Concepts

• J2-Invariant Orbit
• Interior Point Optimization
• N-Body Dynamics
• Start-End State Constraint

References

• 荆武兴和刘玥 - 2014 - 椭圆三体问题下月球L2低能逃逸轨道设计