论文:2021,Vol:39,Issue(4):919-929
引用本文:
宋志明, 刘海栋, 陈晓宇, 王茂才. 基于经度条带划分的星座对地覆盖问题的快速求解算法[J]. 西北工业大学学报
SONG Zhiming, LIU Haidong, CHEN Xiaoyu, WANG Maocai. An efficient algorithm for solving the constellation-to-ground region coverage problem based on longitude strip division[J]. Northwestern polytechnical university

基于经度条带划分的星座对地覆盖问题的快速求解算法
宋志明1,2, 刘海栋1, 陈晓宇1,2, 王茂才1,2
1. 中国地质大学(武汉) 计算机学院, 湖北 武汉 430074;
2. 智能地学信息处理湖北省重点实验室, 湖北 武汉 430078
摘要:
针对卫星星座对地面区域的覆盖问题,提出一种快速求解方法—经度条带法。将地面目标划分为若干个经度条带,并根据区域得到每个条带的纬度范围,根据卫星覆盖范围,计算星座对每个条带的覆盖情况,综合统计得到覆盖率。结合覆盖率上下界的思想,对连续性覆盖问题和累积覆盖问题的覆盖率上下界形式进行求解。数值仿真实验反映了该算法计算结果的精确性,能够对任意形状地面区域进行求解,计算效率较高。
关键词:    卫星星座    区域目标    覆盖计算    经度条带法   
An efficient algorithm for solving the constellation-to-ground region coverage problem based on longitude strip division
SONG Zhiming1,2, LIU Haidong1, CHEN Xiaoyu1,2, WANG Maocai1,2
1. School of Computer Science, China University of Geosciences(Wuhan), Wuhan 430074, China;
2. Hubei Key Laboratory of Intelligent Geo-Information Processing, Wuhan 430078, China
Abstract:
Aiming at the constellation-to-ground region coverage problem, an efficient solution method called the longitude strip method is proposed. By dividing the ground region into several longitude strips, the latitude range of each strip is computed according to the region. Similarly, concerning the coverage area of the satellite, the latitude range of each strip is also calculated. On this basis, the coverage rate can be obtained by comprehensive statistics. Additionally, the upper and lower bounds for problems of continuous coverage and accumulative coverage are solved. Numerical simulation experiments show the proposed algorithm has higher accuracy and it is also efficient in resolving the ground area with arbitrary shapes.
Key words:    satellite constellation    ground region target    coverage calculation    longitude strip method   
收稿日期: 2020-11-15     修回日期:
DOI: 10.1051/jnwpu/20213940919
基金项目: 国家重点研发计划(2016YFB0501001)、中国博士后科学基金(2019TQ0291)、航空科学基金(2018ZCZ2002)、湖北省自然科学基金(2019CFB376)与智能地学信息处理湖北省重点实验室开放研究课题(KLIGIP-2019B07)资助
通讯作者:     Email:
作者简介: 宋志明(1986-),中国地质大学(武汉)讲师,主要从事卫星星座设计与优化算法研究。e-mail:songzm@cug.edu.cn
相关功能
PDF(1352KB) Free
打印本文
把本文推荐给朋友
作者相关文章
宋志明  在本刊中的所有文章
刘海栋  在本刊中的所有文章
陈晓宇  在本刊中的所有文章
王茂才  在本刊中的所有文章

参考文献:
[1] MORRISON J J. A system of sixteen synchronous satellites for worldwide navigation and surveillance[R]. DOT-TSC-FAA-72-31, 1973
[2] LI Hongliang, LI Dong, LI Yunhua. A multi-index assessment method for evaluating coverage effectiveness of remote sensing satellite[J]. Chinese Journal of Aeronautics, 2018, 31(10):2023-2033
[3] 张九龙,酆广增. 我国移动卫星星座设计、覆盖分析及动态仿真[J]. 南京邮电学院学报, 2002, 22(2):11-15 ZHANG Jiulong, FENG Guangzeng. Constellation design, coverage analysis and dynamic simulation of MEO and LEO mobile satellite communication of china[J]. Journal of Nanjing University of Posts and Telecommunications, 2002, 22(2):11-15(in Chinese)
[4] SONG Zhiming, DAI Guangming, WANG Maocai, et al. A novel grid point approach for efficiently solving the constellation-to-ground regional coverage problem[J]. IEEE Access, 2018, 6:44445-44458
[5] RIDER L. Optimized polar orbit constellations for redundant earth coverage[J]. Journal of the Astronautical Sciences, 1985, 33(2):147-161
[6] ADAMS W S, RIDER L. Circular polar constellations providing continuous single or multiple coverage above a specified latitude[J]. Journal of the Astronautical Sciences. 1987, 35(2):155-192
[7] Yang M, Dong X, Hu M. Design and simulation for hybrid LEO communication and navigation constellation[C]//2016 IEEE Chinese Guidance, Navigation and Control Conference, 2016:1665-1669
[8] 计晓彤,丁良辉,钱良, 等. 全球覆盖低轨卫星星座优化设计研究[J]. 计算机仿真, 2017,34(9):64-69 JI Xiaotong, DING Lianghui, QIAN Liang, et al. Optimization of global coverage LEO satellite constellation design[J]. Computer Simulation, 2017, 34(9):64-69(in Chinese)
[9] BALLARD A H. Rosette constellations of earth satellites[J]. IEEE Trans on Aerospace & Electronic Systems, 1980, 16(5):656-673
[10] 陈晓宇,戴光明,陈良, 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 CHEN Xiaoyu, DAI Guangming, CHEN Liang, et al. A Method for constellation performance analysis based on spherical subdivision[J]. Journal of Astronautics, 2016, 37(10):1246-1254(in Chinese)
[11] 陈晓宇,戴光明,王茂才, 等. 一种确定性星座对地覆盖计算方法[J]. 哈尔滨工业大学学报, 2017, 49(4):55-60 CHEN Xiaoyu, Dai Guangming, WANG Maocai, et al. Deterministic method for coverage of constellation to ground region[J]. Journal of Harbin Institute of Technology, 2017, 49(4):55-60(in Chinese)
[12] DAI Guangming, CHEN Xiaoyu, Wang Maicai, et al. Analysis of satellite constellations for the continuous coverage of ground regions[J]. Journal of Spacecraft and Rockets, 2017, 54(6):1294-1303
[13] LUDERS R, GINSBERG L. Continuous zonal coverage-a generalized analysis[C]//Mechanics and Control of Flight Conference, 1974:842
[14] CHEN Q, BAI Y, CHEN L, et al. Design of LEO constellations providing internet services based on SOC method[C]//MATEC Web of Conferences, 2017
[15] SONG Zhiming, HU Xiangyun, Wang Maocai, et al. Judgement theorems and an approach for solving the constellation-to-ground coverage problem[J]. Mathematical Problems in Engineering, 2018, 2018(2):1-10
[16] 闫野,任萱. 卫星对地球覆盖情况的判据及算法探讨[J]. 宇航学报, 1999, 20(2):55-60 YAN Ye, REN Xuan. Criterion and algorithm of satellites coverage situation[J]. Journal of Astronautics, 1999, 20(2):55-60(in Chinese)
[17] 秦睿杰,戴光明,王茂才, 等. 一种计算星座区域覆盖率的高效抽样网格点法[J]. 计算机应用研究, 2015, 32(4):1065-1068 QIN Ruijie, DAI Guangming, WANG Maocai, et al. Efficient sampling grid-point approach for calculating regional coverage of satellite constellation[J]. Application Research of Computers, 2015, 32(4):1065-1068(in Chinese)
[18] SEYEDI Y, SAFAVI S M. On the analysis of random coverage time in mobile LEO satellite communications[J]. IEEE Communications Letters, 2012, 16(5):612-615
[19] LUDERS R D. Satellite networks for continuous zonal coverage[J]. ARS Journal, 1961, 31(2):179-184
[20] RADZIK J, MARAL G. A Methodology for rapidly evaluating the performance of some low earth orbit satellite systems[J]. IEEE Journal on Selected Areas in Communications, 1995, 13(2):301-309
[21] SENGUPTA P, VADALI S R, ALFRIEND K T. Satellite orbit design and maintenance for terrestrial coverage[J]. Journal of Spacecraft and Rockets, 2010, 47(1):177-187
[22] MODIRI A, MOHAMMADY L. Mathematical prediction of sun-synchronous polar LEO satellite visions for earth stations[C]//2008 10th International Conference on Advanced Communication Technology, 2008
[23] WANG H, HAN C, LIU S, et al. Adaptive algorithm to determine the coverage belt for agile satellite with attitude maneuvers[C]//2019 IEEE 10th International Conference on Mechanical and Aerospace Engineering, 2019
[24] DRAIM J D. Three-and four-satellite continuous-coverage constellations[J]. Journal of Guidance Control & Dynamics, 1985, 8(6):725-730
[25] ZUO Mingcheng, DAI Guangming, PENG Lei, et al. An envelope curve-based theory for the satellite coverage problems[J]. Aerospace Science and Technology, 2020, 100:1-9
[26] MOZHAEV G. Capabilities of kinematically regular satellite systems with symmetry groups of the second type in the problem of continuous single coverage of the earth[J]. Cosmic Research, 2005, 43(3):205-212
[27] DAVIS J J, AVENDA O M N E, MORTARI D. The 3-D lattice theory of flower constellations[J]. Celestial Mechanics & Dynamical Astronomy, 2013, 116(4):339-356
[28] LEE S, MORTARI D. 2-D lattice flower constellationsfor radio occultation missions[J]. Frontiers in Aerospace Engineering, 2013, 2(2):79-90
[29] 宋志明,戴光明,王茂才, 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 SONG Zhiming, DAI Guangming, WANG Maocai, et al. The fast simulation algorithm for solvinge area coverage problem of satellite constellation[J]. Aerospace Control, 2014, 32(5):65-70(in Chinese)