Dual-Period Motion

Author: Tianjiang Shuo

Website: https://cislunarspace.cn

Definition

Motion near triangular libration points that simultaneously contains both long-period and short-period frequency components. The resulting relative dynamics form intricate three-dimensional curves unsuitable for direct formation use; one periodic component can be eliminated by specific selection of initial velocity conditions.

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

  • Catlin and McLaughlin, 2007
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Contributors: ouyangjiahong, Ou Yang Jiahong