Rank Deficiency Problem
Author: Tianjiang Shuo
Website: https://cislunarspace.cn
Definition
In SST autonomous orbit determination, the state transition matrices of conventional two-body orbit constellations cause multi-collinearity among columns of the extended coefficient matrix H, rendering the normal matrix rank-deficient. This manifests as the absolute orientation parameters of the constellation being unobservable from the measurements alone.
Application Value
在设计地月转移方案时，利用该轨道特性可降低任务总速度增量需求。在编目系统中，该技术可提高对空间目标的探测、跟踪和编目能力。精密定轨是实现地月空间导航的基础，决定了轨道预报精度。
Related Concepts
- Pinpoint Landing
- GNSS Ultra-rapid ephemerides
- Free Space Propagation Loss
- LNSS-B
References
- 测绘学报, 2013, 42(2): 184-190