Restricted Three-Body Problem, RTBP

Author: Tianjiang Shuo

Website: https://cislunarspace.cn

Definition

A model in celestial mechanics where a body of negligible mass moves under the gravitational attraction of two massive bodies; the foundational framework for cislunar orbital dynamics.

Application Value

Restricted Three-Body Problem, RTBP plays an important role in orbital dynamics and attitude control, serving as a critical tool for analyzing spacecraft motion characteristics. Research on this concept enables optimization of orbit transfer schemes and improvement of control system performance.

  • KAM Theorem
  • Hill Clohessy Wiltshire Equations
  • State Transition Function
  • Lagrangian Coefficients

References

  • Gómez 等 - 2001.
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Contributors: ouyangjiahong, Ou Yang Jiahong