Axis Ratio

Author: Tianjiang Shuo

Website: https://cislunarspace.cn

Definition

The ratio of the semimajor axis to the semiminor axis of the elliptical orbit near a libration point. For triangular libration points, the long-period axis ratio is approximately 16/3 and the short-period ratio is approximately 2. This ratio governs formation feasibility and the extent of in-plane stretching.

Application Value

This concept is essential for understanding motion characteristics in orbital design and control, and plays a vital role in mission success.

  • Minimum Norm Solution
  • Rigid Body Dynamics
  • Variable-Size Design Space, VSDS
  • Analytical Gradient

References

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