摘要
针对传统星座覆盖性能统计在低轨星座设计中方法计算量大、计算速度慢的问题,设计了一种基于二维图理论的新的低轨成像星座覆盖性能统计模型。首先提出了一种二维图理论,分析了卫星和目标点在天球面的相对几何关系,建立了二维图的解析数学模型。其次讨论了卫星对二维图的覆盖条件,并进一步研究了卫星单次经过纬线时的覆盖范围模型和算法。通过将目标区域划分成纬度条带,研究了星座对单个纬度条带的覆盖性能的统计原理和方法,并建立了整个目标区域的覆盖性能模型和流程。最后通过实例对比分析了传统统计模型和该算法模型的时间复杂度,验证了上述方法结果的精度。
To deal with the huge amount of computation and slow calculation speed in coverage performance evaluation of satellite constellation with the traditional statistics method,a new method for LEO imaging satellite constellation was designed based on the two-dimensional map theories.Fimily,the two-dimensional map theories were put forward and its analytical mathematic models were built after the analysis of relative geometrical relationships between satellites and target points.Then the conditions of coverage for the two-dimensional maps were discussed, and the model and algorithm of coverage range for a latitude belt were studied.By dividing the area into latitude belts,the statistics method of constellation coverage performance for single belts was investigated and the processes of coverage performance evaluation for whole area were built.Finally,the time complexities of the two algorithms were compared and the precision of the new method was verified with the numerical examples.
作者
孟少飞
刘新学
杨其
刘庆国
MENG Shao-fei;LIU Xin-xue;YANG Qi;LIU Qing-guo(The Rocket Force University of Engineering,Shanxi Xi'an 710025,China)
出处
《计算机仿真》
北大核心
2018年第12期36-40,341,共6页
Computer Simulation
关键词
低轨成像卫星星座
二维图理论
覆盖性能统计
纬度条带
LEO imaging satellite constellation
Two -dimensional map theory
Coverage performance statistics
Latitude belts
