Manifold Segment

Author: Tianjiang Shuo

Website: https://cislunarspace.cn

Definition

A portion of the stable manifold of a halo orbit. A spacecraft on the manifold segment asymptotically approaches the target halo orbit along its unstable manifold; the spacecraft is considered to have entered the halo orbit when it comes within 100 km of it. The manifold segment is generated by backward propagation from the halo orbit after applying a 100 km position perturbation along the stable eigenvector.

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

  • /home/ouyangjiahong/Downloads/地月空间相关/output/Parker和Born - 2008 - Direct lunar halo orbit transfers/hybrid_auto/Parker和Born - 2008 - Direct lunar halo orbit transfers.md
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Contributors: ouyangjiahong, Ou Yang Jiahong