Minimum-Norm Update

Author: Tianjiang Shuo

Website: https://cislunarspace.cn

Definition

The solution method used in differential correction when the number of targeted state components is less than the control degrees of freedom: the velocity correction is computed as the minimum-norm solution that satisfies the targeting constraints.

Application Value

This concept is fundamental to cislunar orbital mechanics and mission analysis, providing essential theoretical support for trajectory design and operational planning.

  • Retrograde Motion
  • Absolute Phase Bias
  • Relative Attitude Quaternion
  • Radial-Tangential-Normal Coordinate System, RTN

References

  • Shimane et al. 2025
Improve this page
Last Updated:
Contributors: ouyangjiahong, Ou Yang Jiahong