Multicollinearity
Author: Tianjiang Shuo
Website: https://cislunarspace.cn
Definition
A near-linear dependence among column vectors of the extended coefficient matrix H. In SST orbit determination, the RAAN partial derivative columns for two same-type orbit satellites are nearly opposite while their state transfer relations are similar, causing ill-conditioning of the normal matrix. Mixing orbits with different force models can reduce this multicollinearity.
Application Value
This term has application value in the design and analysis of cislunar space missions, supporting trajectory design, mission planning, and system optimization. Researchers can analyze its physical mechanisms and engineering applicability based on specific mission requirements to advance cislunar space exploration technology.
Related Concepts
- Elliptic Restricted Three-Body Problem
- Dynamical Consistency
- Combined Covariance
- Nekhorosev Estimates
References
- 测绘学报, 2013, 42(2): 184-190
