Linear Interpolation Parameterization

Author: Tianjiang Shuo

Website: https://cislunarspace.cn

Definition

A numerical method for discretizing continuous control functions. The function is evaluated at a set of control nodes with linear interpolation between them, converting the infinite-dimensional optimal control problem into a finite-dimensional nonlinear programming problem. In this paper, it parameterizes the continuous variation of thrust direction cosines.

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

  • Kluever 1997 Optimal Earth-Moon Trajectories Using Combined Chemical-Electric Propulsion
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Contributors: ouyangjiahong, Ou Yang Jiahong