Levi-Civita Transformation

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

Definition

A regularization transformation for collision singularities in the planar two-body problem and circular restricted three-body problem. A quadratic transformation eliminates velocity singularities at collision; a local regularization method.

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

  • Celletti - 2010 - Stability and chaos in celestial mechanics
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Contributors: ouyangjiahong, Ou Yang Jiahong