一种低轨成像卫星星座覆盖性能快速统计模型
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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. Firstly,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.
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. Firstly,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.
引文
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[9]吴正午,任华,蒋昊东.区域侦察小卫星星座设计与仿真[J].计算机仿真. 2015,32(2):87-91.
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[12] S Y Ulybyshev. Design of satellite constellations with continuous coverage on elliptic orbits of molniya type[J]. Cosmic Research,2009,47(4):310-321.
[13] S Y Ulybyshev. Geometric analysis and design method for discontinuous coverage satellite constellations[J]. Journal of Guidance,Control,and Dynamics,2014,37(2):549-557.
[14] S Y Ulybyshev. General analysis method for discontinuous coverage satellite constellations[J]. Journal of Guidance,Control,and Dynamics,2015,38(2):2475-2482.
[2]宋丹,等.基于遗传算法的多星座选星方法[J].宇航学报,2015,36(3):300-308.
[3]王励,等.基于NSGA-Ⅱ算法的区域覆盖卫星星座优化[J].计算机仿真,2009,26(4):80-84.
[4]蒙波,韩潮.基于改进粒子群算法的混合卫星星座优化设计[J].上海航天,2010-1:36-50.
[5]戴光明,王茂才.多目标优化算法及在卫星星座设计中的应用[M].北京:中国地质大学出版社,2009.
[6]陈晓宇,等.一种基于球面剖分的星座性能分析方法[J].宇航学报,2016,37(10):1246-1254
[7]宋志明,等.卫星星座区域覆盖问题的快速仿真算法[J].航天控制,2014,32(5):65-70.
[8]曾德林.快速响应小卫星星座设计及覆盖性能仿真分析[J].计算机仿真,2014,31(6):73-77.
[9]吴正午,任华,蒋昊东.区域侦察小卫星星座设计与仿真[J].计算机仿真. 2015,32(2):87-91.
[10]杨迪,曾庆化,刘建业,胡倩倩.现代化多星座卫星导航系统性能分析研究[J].计算机仿真,2012,29(9):65-68.
[11] S Y Ulybyshev. Satellite constellation design for complex coverage[J]. Journal of Spacecraft and Rockets,2008,45(4):843-839.
[12] S Y Ulybyshev. Design of satellite constellations with continuous coverage on elliptic orbits of molniya type[J]. Cosmic Research,2009,47(4):310-321.
[13] S Y Ulybyshev. Geometric analysis and design method for discontinuous coverage satellite constellations[J]. Journal of Guidance,Control,and Dynamics,2014,37(2):549-557.
[14] S Y Ulybyshev. General analysis method for discontinuous coverage satellite constellations[J]. Journal of Guidance,Control,and Dynamics,2015,38(2):2475-2482.