Entrywise Leading Order Interpolation

Author: Tianjiang Shuo

Website: https://cislunarspace.cn

Definition

A short-time interpolation scheme for state transition tensors that assigns different powers of the interpolation parameter alpha to each entry of the STM and STT, rather than uniform linear interpolation. The power for each entry is determined by the first nonzero power of the Jacobian matrix for that element. It achieves the same operation count as entrywise linear interpolation but with higher-order accuracy for most entries.

Application Value

This concept has practical applications in cislunar space science and engineering. Related research supports the planning, implementation, and operations of cislunar missions, forming an integral part of the knowledge system in this field.

  • Stretching Direction of Error Hyper-Ellipsoid
  • Bayesian Update
  • Real-Valued Stability Index
  • Flight-Path Angle

References

  • Kulik et al., 2023, JGCD, doi:10.2514/1.G007311
Improve this page
Last Updated:
Contributors: ouyangjiahong, Ou Yang Jiahong