Conley-McGehee Tube

Author: Tianjiang Shuo

Website: https://cislunarspace.cn

Definition

In the restricted three-body problem, the two-dimensional tubular structure formed by stable and unstable manifolds of a Lyapunov orbit expanding in configuration space. Conley and McGehee proved this tube acts as a separatrix between transit and non-transit orbits, with all transit trajectories packed inside. An important tool for analyzing transfer conditions near libration points.

Application Value

This term在cislunar space missions中has important application value. In orbit design, it can be used foroptimizing transfer trajectories, reducing mission fuel consumption. In attitude control and dynamics analysis, it helps understandthe motion characteristics of spacecraft in complex gravitational fields, providing theoretical support for mission planning. In navigation and orbit determination, methods based on this termcan improve orbit prediction accuracy, supporting the development of autonomous navigation algorithms.

  • Periodicity Conditions in Relative Orbital Motion
  • Helix Formation
  • Energy Dissipation Method
  • Unstable Manifold

References

  • Liang 等 - 2016 - The classification of cislunar trajectories and its applications in the Earth–moon system
Improve this page
Last Updated:
Contributors: ouyangjiahong, Ou Yang Jiahong