一种对地四重覆盖星座构型设计方法

A Constellation Design Method for Quadruple Continuous Earth Coverage

针对传统星座设计中覆盖模型求解困难,覆盖性能统计不便等问题,提出一种基于二维图的对地四重连续覆盖星座构型设计新方法。首先对传统的二维空间坐标系进行了改进,利用球面几何学分析了覆盖圆与卫星轨道的相对位置关系,建立二维图和星座网格的解析数学模型。通过对数学模型的进一步分析,归纳与总结了二维图的几何性质。将星座对纬度带的覆盖转化为对纬度带上任意点的二维图的覆盖,提出星座网格对二维图的单重和四重连续覆盖条件。在此基础上,研究四重覆盖星座构型的设计与筛选方法,从而避开了覆盖性能统计的复杂过程。最后对二维图基本理论和星座设计方法进行了实例仿真,校验了该方法的可行性。

Aiming at the intricate coverage models and inconvenient coverage statistics, a new design method for a quadruple continuous coverage constellation is proposed based on the two-dimensional maps. The preceding two-dimensional space coordinate system is improved and the analytic models of the two-dimensional maps are built via the analysis of the relative positions between the coverage circles and satellite orbits using the spherical geometric knowledge. The models are further studied and the geometric properties of the two-dimensional maps are concluded. By conversion from the continuous coverage of the latitude belt to the continuous coverage of one two-dimensional map in the belt, the single and quadruple continuous coverage conditions are put forward. On this basis, the design and screening methods of the constellation configuration for quadruple continuous coverage are integrated to avoid the complex statistics process of the coverage performance. Finally, the simulation for the two-dimensional theory and constellation design method suggests the feasibility of the new method.