Normal Matrix

Author: Tianjiang Shuo

Website: https://cislunarspace.cn

Definition

In least-squares orbit determination, the matrix formed by H^T * H from the extended coefficient matrix H. Positive definiteness of the normal matrix is necessary for a unique solution in parameter estimation. In conventional two-body constellation SST orbit determination, the normal matrix becomes ill-conditioned or rank-deficient due to multicollinearity among column vectors.

Application Value

This concept has practical applications in cislunar space science and engineering. Related research supports the planning, implementation, and operations of cislunar missions, forming an integral part of the knowledge system in this field.

References

  • 测绘学报, 2013, 42(2): 184-190
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Contributors: ouyangjiahong, Ou Yang Jiahong