Minimum Euclidean Norm

Author: Tianjiang Shuo

Website: https://cislunarspace.cn

Definition

A mathematical method for determining iteration step size in differential correction. When free variables exceed constraint variables (under-constrained system), the pseudoinverse matrix is used to find the minimum-norm correction, ensuring iteration convergence stability.

Application Value

Minimum Euclidean Norm plays an important role in orbit maneuver design, analysis, and transfer planning for cislunar missions.

Related Concepts

• Deflection Angle
• Time-Optimal Transfer
• Summation Combination of Dual One-Way Ranging
• Map Projection

References

• 李星明 等 - 2024 - 地月周期轨道对地月L1与L2附近Halo轨道的可见性分析