Quasi-Periodic Invariant Tori

Author: Tianjiang Shuo

Website: https://cislunarspace.cn

Definition

Closed bounded surfaces in the CRTBP covered by specific quasi-periodic non-resonant trajectories, surrounding a reference periodic orbit. The ratio of the main motion direction (longitude) frequency to the winding motion direction (phase) frequency is an irrational number, causing the trajectory to never close. Can be used to design naturally bounded relative trajectories for formation flying.

Application Value

This term has significant practical applications in cislunar mission planning and execution.

  • Hidden-Genes Genetic Algorithm, HGGA
  • Variable-Size Design Space, VSDS
  • Station-Keeping
  • Target Point Method

References

  • Capannolo 等 - 2023 - Model predictive control for formation reconfiguration exploiting quasi-periodic tori in the cislunar environment
Improve this page
Last Updated:
Contributors: ouyangjiahong, Ou Yang Jiahong