Rotating Frame

Author: Tianjiang Shuo

Website: https://cislunarspace.cn

Definition

A reference frame centered at the barycenter of the two primary bodies, co-rotating with the line connecting them. In the rotating frame, both primary bodies are fixed, libration points are stationary, and the equations of motion are time-periodic, making it the standard reference framework for studying the restricted three-body problem. The paper establishes the Sun-Earth system equations of motion in an Earth-centered rotating frame.

Application Value

The 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.

References

  • Transfer to Distant Retrograde Orbits Using Manifold Theory
  • Zimovan-Spreen et al. 2022
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Contributors: ouyangjiahong, Ou Yang Jiahong