Cauchy-Green Tensor Method

Author: Tianjiang Shuo

Website: https://cislunarspace.cn

Definition

A station-keeping approach that constructs the Cauchy-Green tensor from the deformation gradient (state transition matrix) of the dynamical flow, analyzing its eigenvalues to characterize local stretching and compression for optimal maneuver placement on libration point orbits.

Application Value

Constructed from the state transition matrix to describe local dynamical stretching and compression characteristics, it predicts maximum propagation of initial errors for libration point orbit maneuver optimization.

References

  • Shimane et al. 2025; Guzzetti et al. 2017.
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Contributors: ouyangjiahong, Ou Yang Jiahong