Tube Topology

Author: Tianjiang Shuo

Website: https://cislunarspace.cn

Definition

The tubular geometric structure formed by invariant manifolds of small-amplitude periodic orbits. The manifolds create tubes in phase space that constrain spacecraft motion within them. Stable manifolds of large-amplitude Lyapunov orbits lose this tubular structure, allowing them to spread and reach regions near Earth.

Application Value

This concept plays an important role in trajectory optimization and mission planning applications.

Related Concepts

• Jacobi Integral
• Coriolis Theorem
• Velocity Function

References

• 谭明虎 等 - 2014 - Earth-Moon Transfer Trajectory Design Based on Large-Amplitude Lyapunov Orbits