Long-period Motion

Author: Tianjiang Shuo

Website: https://cislunarspace.cn

Definition

One mode of relative motion near triangular libration points, with a period of approximately 458 days and an axis ratio of approximately 16/3. Pure long-period relative motion can be obtained by selecting specific initial velocity conditions to filter out the short-period component, making it suitable for formation design.

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