无需位置先验，用星间距离矩阵检测卫星时钟跳变。
Satellite Autonomous Clock Fault Monitoring with Inter-Satellite Ranges Using Euclidean Distance Matrices
- 构建星间连接图，通过5元子图的中心化距离矩阵奇异值监测异常。
- 在月球与地球星座仿真中均实现时钟跳变准确检测。
- 适合多类型、无统一管控的深空卫星编队使用。
为满足月球环境下高可靠定位、导航与授时需求，本文提出一种基于单向星间链路测距的卫星星群自主时钟相位跳变检测新框架。该方法利用顶点冗余刚性图理论，在不依赖卫星位置或时钟偏差先验信息的前提下实现故障检测，适用于异构卫星与多运营商的月球星座。将卫星星座建模为图结构，卫星为顶点，星间链路为边。通过监测5元团子图的几何中心化欧氏距离矩阵（GCEDM）的奇异值变化，实现对时钟跳变卫星的识别。在GPS星座及一个设想的月球轨道星座仿真中验证了方法的有效性，可在多种构型下稳定工作。
原文摘要 · Abstract (English)
To address the need for robust positioning, navigation, and timing services in lunar environments, this paper proposes a novel onboard clock phase jump detection framework for satellite constellations using range measurements obtained from dual one-way inter-satellite links. Our approach leverages vertex redundantly rigid graphs to detect faults without relying on prior knowledge of satellite positions or clock biases, providing flexibility for lunar satellite networks with diverse satellite types and operators. We model satellite constellations as graphs, where satellites are vertices and inter-satellite links are edges. The proposed algorithm detects and identifies satellites with clock jumps by monitoring the singular values of the geometric-centered Euclidean distance matrix (GCEDM) of 5-clique sub-graphs. The proposed method is validated through simulations of a GPS constellation and a notional constellation around the Moon, demonstrating its effectiveness in various configurations.
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