Free-variable and Constraint Method

Author: Tianjiang Shuo Website: https://cislunarspace.cn

Definition

A differential corrections method based on multi-variable Newton's method, solving two-point boundary value problems through a free-variable vector and constraint vector.

Application Value

This concept plays a key role in trajectory transfer design, helping evaluate transfer costs and flight time to provide quantitative basis for mission trade studies. Combined with global search algorithms, multiple solution families and Pareto frontiers can be identified to guide orbital design decisions.

References

  • Spreen 2021
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Contributors: ouyangjiahong, Ou Yang Jiahong