Optimal Relative Motion Control

Author: Tianjiang Shuo

Website: https://cislunarspace.cn

Definition

The problem of controlling a deputy satellite's relative state transfer with respect to a chief satellite under three-body dynamics. Given initial relative state delta_x_0 and final relative state delta_x_f near a reference orbit, the optimal initial costates delta_lambda_0 are solved via variational equations. The method enables approximate solution of any relative optimal control problem with arbitrary boundary conditions in O(m*n^3) operations.

Application Value

This concept is used in orbital analysis and has significant impact on mission design.

  • Suborbital
  • Rocket Staging
  • Cross-Product Matrix / Skew-Symmetric Matrix
  • Apsidal Line

References

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