一种基于球面剖分的星座性能分析方法

在卫星星座优化设计与性能分析过程中，根据球面Delaunay三角网和Voronoi图的特性，首先研究了任意状态下星座空间几何构形划分方法，定义了卫星所属覆盖区域。然后，通过分析卫星星座和地面目标区域之间的几何关系，提出了星座对任意类型地面目标的最小观测仰角和平均观测仰角的确定性计算方法。在此基础上，分析了基于星座空间几何构形划分的卫星系统网络的时变特性，提出了星间通信链路快速建立方法。最后，以铱星系统为例，分析了该系统的对地覆盖能力和星间链路通信能力。实验结果表明该方法不仅可以准确、快速的评估卫星系统应用效能，同时能够为星座优化设计人员提供必要的决策支持。

A Method for Constellation Performance Analysis Based on Spherical Subdivision

In the process of the satellite constellation optimization design and performance evaluation, according to the characteristics of the spherical Delaunay triangulation and Voronoi diagram, the subdivision method of the space geometric configuration of constellation in any state is mainly researched, and the coverage area belonging to each satellite is defined at first. And then, after analyzing the geometric relationship between the constellation and target areas on Earth’s surface, a certain method is put forward to calculate the minimum and average observation elevation angle of the constellation for any type of the target areas. Moreover, on the basis of the constellation geometric configuration in space, the time-varying characteristic of constellation network is analyzed and the constructing method of the inter-satellite links is proposed. Finally, by taking an example of the Iridium system, the coverage performance and communication capacity over inter-satellite are analyzed. The results illustrate that the approaches proposed in this paper are accurate and efficient in evaluation of the constellation performance. Meanwhile, it can also provide decision support for designers.