Elliptic Restricted Problem

Author: Tianjiang Shuo

Website: https://cislunarspace.cn

Definition

A variant of the restricted three-body problem where the primaries move in elliptical rather than circular orbits. It is closer to actual celestial motion and has greater practical applications.

Application Value

This concept is fundamental to cislunar orbital mechanics and mission analysis, providing essential theoretical support for trajectory design and operational planning.

  • Retrograde Motion
  • Absolute Phase Bias
  • Relative Attitude Quaternion
  • Radial-Tangential-Normal Coordinate System, RTN

References

  • Szebehely - 1967 - Theory of orbit the restricted problem of three bodies
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Contributors: ouyangjiahong, Ou Yang Jiahong