Invariant Manifold Splicing

Author: Tianjiang Shuo

Website: https://cislunarspace.cn

Definition

A technique for constructing transfer trajectories by splicing the stable and unstable invariant manifolds of periodic orbits at a Poincare section. The unstable manifold (natural departure path) and stable manifold (natural arrival path) are connected to form zero-fuel-cost transfer paths, which are then extended via low-thrust to general orbit pairs.

Application Value

This term has significant application value in cislunar space missions。In the orbital design phase, engineers use relevant theories for trajectory optimization；In navigation and orbit determination, it is used to improve measurement accuracy；In attitude control and orbit maintenance tasks, it ensures stable spacecraft operation。In practical applications, parameter optimization and algorithm adaptation can be combined with mission requirements to improve mission success rate and resource utilization efficiency。

  • Characteristic Exponents
  • Capture Docking Phase
  • Lunar Flyby Transfer

References

  • Du et al., 2023, Two trajectory configurations for the low-thrust transfer between northern and southern halo orbits
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Contributors: ouyangjiahong, Ou Yang Jiahong