Deficient Rank
Author: Tianjiang Shuo
Website: https://cislunarspace.cn
Definition
When a satellite orbits a single body and uses only inter-satellite range for orbit determination, the rotational symmetry of the central body's gravitational field causes the observation information matrix to be rank-deficient, making it impossible to uniquely determine all orbital parameters. In the three-body problem, strong perturbation from the third body breaks this symmetry and restores full rank.
Application Value
[Translation needed for: 该概念在地月空间轨道设计、导航控制或任务分析中具有重要应用价值，理解其内涵有助于掌握相关领域的核心知...]
Related Concepts
- Liaison Navigation
- Doppler velocity measurement
- Astronometric Angle Measurement
- International Rendezvous System Interoperability Standard, IRSIS
References
- Liu et al. 2024, A novel autonomous navigation constellation in the Earth–Moon system