Invariant Torus
Author: Tianjiang Shuo
Website: https://cislunarspace.cn
Definition
A higher-dimensional surface in phase space on which quasi-periodic orbits evolve. Each torus is characterized by its fundamental frequencies, which tend to the characteristic frequencies of the libration point as amplitudes approach zero. Lissajous orbits correspond to two-dimensional invariant tori. Periodic orbits emerge from families of tori through bifurcation.
Application Value
A higher-dimensional surface in phase space on which quasi-periodic orbits evolve. Each torus is characterized by its fundamental frequencies, which tend to the characteristic frequencies of the libration point as amplitudes approach zero. Lissajous orbits correspond to two-dimensional invariant tori. Periodic orbits emerge from families of tori through bifurcation.
Related Concepts
- Time-Varying System
- Lipschitz Condition
- Variable-Time Targeting
- Return Corridor
References
- Alessi 等 - 2009 - Leaving the moon by means of invariant manifolds of libration point orbits
- Meyer和Offin - 2017