Exponential Divergence Rate

Author: Tianjiang Shuo

Website: https://cislunarspace.cn

Definition

Constant δ characterizing the rate of exponential error divergence, defined by the exponent coefficient in ||ΔX|| ~ e^(δT). For orbits around collinear libration points in the Earth-Moon system, the divergence rate is approximately 0.5 per day.

Application Value

In orbit design and optimization, this concept is used to analyze spacecraft motion characteristics in the cislunar multi-body gravitational field, providing a theoretical basis for low-energy transfer trajectory design.

  • Lorillo Stability Criterion
  • Stable Eigenvector
  • Lunar Fly-by Method
  • Reachability Set

References

  • 邓辉 等 - 2017 - 地月系共线平动点探测器的星上轨道预报问题
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Contributors: ouyangjiahong, Ou Yang Jiahong