Modified Multiple Shooting

Author: Tianjiang Shuo

Website: https://cislunarspace.cn

Definition

An iterative variant of the multiple shooting method that progressively reduces the coupling maneuver magnitude. Starting from a section-forced refined trajectory, the velocity jump at the coupling point is introduced as a variable to be eliminated. The maneuver vector is reduced at each iteration until convergence to a prescribed tolerance, yielding zero-cost transfers when they physically exist.

Application Value

This concept is essential for understanding motion characteristics in orbital design and control, and plays a vital role in mission success.

  • Minimum Norm Solution
  • Rigid Body Dynamics
  • Variable-Size Design Space, VSDS
  • Analytical Gradient

References

  • Canalias and Masdemont, Acta Astronautica, 2008
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Contributors: ouyangjiahong, Ou Yang Jiahong