面向全球快速重访的限制性Walker星座设计方法

doi:10.12305/j.issn.1001-506X.2024.12.23

摘要/Abstract

摘要：

自然灾害、军事冲突等突发热点事件的发生地点往往具有随机性, 因此需要在全球范围内提高具有侦察、探测等具体任务背景的稀疏星座的快速重访能力。基于限制性Walker星座的概念, 即通过将轨道面升交点赤经均匀分布的范围限制在特定的数值区间内, 对常规Walker星座进行改造, 提出一种能实现全球范围内快速重访的星座设计方法。以最大时间分辨率最小化为优化目标设计优化问题, 借助差分进化算法求解最优限制性Walker星座构型。仿真结果表明, 所提方法所得到的限制性Walker星座, 在不连续覆盖性能方面优于常规的Walker星座以及已有文献所提出的星座。

关键词: 非对称星座, 星座构型优化, 差分进化算法, Walker星座, 全球覆盖, 快速重访

Abstract:

The occurrence of hot spot events such as natural disasters and military conflicts often exhibits randomness in terms of location. Therefore, it is necessary to enhance the rapid revisit capability of sparse constellations with specific task backgrounds, such as reconnaissance and detection, on a global scale. Based on the concept of restricted Walker constellation, which constrains the range of right ascension of ascending nodes uniformly distributed within specific numerical intervals. The conventional walker constellation is reconstructed and a design method for constellation is proposed to achieve rapid revisit capability on a global scale. Then the optimization problem is designed with the maximum time resolution minimization as the optimization objective, and the optimal restricted Walker constellation configuration is solved by differential evolution algorithm. Simulation results show that the restricted Walker constellation designed by the proposed method is superior to the conventional Walker constellation and the constellation proposed in the existing literature in terms of discontinuous coverage performance.

Key words: asymmetric constellation, constellation configuration optimization, differential evolution algorithm, Walker constellation, global coverage, rapid revisit

中图分类号:

V412.4

李胜西, 李海阳, 何湘粤. 面向全球快速重访的限制性Walker星座设计方法[J]. 系统工程与电子技术, 2024, 46(12): 4149-4156.

Shengxi LI, Haiyang LI, Xiangyue HE. Design method of restricted Walker constellation for global rapid revisit[J]. Systems Engineering and Electronics, 2024, 46(12): 4149-4156.

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参考文献 31

1	BHAMIDIPATI S , MINA T , SANCHEZ A , et al. Satellite constellation design for a lunar navigation and communication system[J]. NAVIGATION : Journal of the Institute of Navigation, 2023, 70 (4): 613. doi: 10.33012/navi.613
2	XU X Y , WANG C H , JIN Z H . An analysis method for ISL of multilayer constellation[J]. Journal of Systems Engineering and Electronics, 2022, 33 (4): 961- 968. doi: 10.23919/JSEE.2022.000093
3	王晓伟, 詹亚锋, 谢浩然, 等. 通导一体化环月星座设计初探[J]. 系统工程与电子技术, 2023, 45 (1): 241- 249. doi: 10.12305/j.issn.1001-506X.2023.01.28
	WANG X W , ZHAN Y F , XIE H R , et al. A preliminary study on the design of constellation orbiting the moon with the communication and navigation integration[J]. Systems Engineering and Electronics, 2023, 45 (1): 241- 249. doi: 10.12305/j.issn.1001-506X.2023.01.28
4	LI Z Q , XIE Y Q , HOU W Z , et al. In-orbit test of the pola-rized scanning atmospheric corrector (PSAC) onboard Chinese environmental protection and disaster monitoring satellite constellation HJ-2 A/B[J]. IEEE Trans.on Geoscience and Remote Sensing, 2022, 60, 4108217.
5	KIMIJIMA S , NAGAI M . Monitoring mining-induced geo-ha-zards in a contaminated mountainous region of Indonesia using satellite imagery[J]. Remote Sensing, 2023, 15 (13): 3436. doi: 10.3390/rs15133436
6	BERNARDI M S , AFRICA P C , FALCO C D , et al. On the use of interferometric synthetic aperture radar data for monitoring and forecasting natural hazards[J]. Mathematical Geosciences, 2021, 53 (8): 1781- 1812. doi: 10.1007/s11004-021-09948-8
7	CAPEZ G M , HENN S , FRAIRE J A , et al. Sparse satellite constellation design for global and regional direct-to-satellite IoT services[J]. IEEE Trans.on Aerospace and Electronic Systems, 2022,, 58 (5): 3786- 3801. doi: 10.1109/TAES.2022.3185970
8	PEGHER D J, PARISH J A. Optimizing coverage and revisit time in sparse military satellite constellations: a comparison of traditional approaches and genetic algorithms[R]. Monterey: Naval Postgraduate School, 2004.
9	ULYBYSHEV Y . Satellite constellation design for complex coverage[J]. Journal of Spacecraft and Rockets, 2008, 45 (4): 843- 849. doi: 10.2514/1.35369
10	WALKER J G. Circular orbit patterns providing continuous whole earth coverage[R]. London: Royal Aircraft Establishment, 1970.
11	陈雨, 赵灵峰, 刘会杰, 等. 低轨Walker星座构型演化及维持策略分析[J]. 宇航学报, 2019, 40 (11): 1296- 1303.
	CHEN Y , ZHAO L F , LIU H J , et al. Analysis of configuration and maintenance strategy of LEO Walker constellation[J]. Journal of Astronautics, 2019, 40 (11): 1296- 1303.
12	DENG Z L , GE W X , YIN L , et al. Optimization design of two-layer walker constellation for LEO navigation augmentation using a dynamic multi-objective differential evolutionary algorithm based on elite guidance[J]. GPS Solutions, 2023, 27 (1): 26. doi: 10.1007/s10291-022-01366-5
13	VEMURI S S, DAPPURI B. Walker-delta constellation design for LEO-based navigation using small satellites[C]//Proc. of the 7th International Conference on Computing in Engineering & Technology, 2022: 250-253.
14	KITAJIMA N , SETO R , YAMAZAKI D , et al. Potential of a SAR small-satellite constellation for rapid monitoring of flood extent[J]. Remote Sensing, 2021, 13 (10): 1959. doi: 10.3390/rs13101959
15	LUO Y Z, SHU P. Optimization design of Walker constellation for multi-target rapid revisit[C]//Proc. of the 8th International Conference on Instrumentation & Measurement, Computer, 2018: 483-486.
16	LANG T J. LEO constellations to cover the earth in one rev[C]// Proc. of the American Institute of Aeronautics and Astronautics Astrodynamics Specialist Conference, 2014.
17	FERRINGER M P , SPENCER D B . Satellite constellation design tradeoffs using multiple-objective evolutionary computation[J]. Journal of Spacecraft and Rockets, 2006, 43 (6): 1404- 1411. doi: 10.2514/1.18788
18	MORTARI D , WILKINS M P , BRUCCOLERI C . The flower constellations[J]. The Journal of the Astronautical Sciences, 2004, 52 (1/2): 107- 127.
19	RAZOUMNY Y N. Route theory for optimal design of satellite constellations to minimize revisit time in low Earth orbits[C]//Proc. of the International Astronautical Federation-the 56th International Astronautical Congress, 2005.
20	RAZOUMNY Y N . Fundamentals of the route theory for satellite constellation design for earth discontinuous coverage. part 2: synthesis of satellite orbits and constellations[J]. Acta Astronautica, 2016, 128:, 741- 758. doi: 10.1016/j.actaastro.2016.07.016
21	RAZOUMNY Y N . Route satellite constellations for earth discontinuous coverage and optimal solution peculiarities[J]. Journal of Spacecraft and Rockets, 2017, 54 (3): 572- 581. doi: 10.2514/1.A33689
22	ZHANG T J , SHEN H X , LI Z , et al. Restricted constellation design for regional navigation augmentation[J]. Acta Astronautica, 2018, 150, 231- 239. doi: 10.1016/j.actaastro.2018.04.044
23	ULYBYSHEV Y . Geometric analysis and design method for discontinuous coverage satellite constellations[J]. Journal of Guidance, Control, and Dynamics, 2014, 37 (2): 549- 557. doi: 10.2514/1.60756
24	ULYBYSHEV Y . General analysis method for discontinuous coverage satellite constellations[J]. Journal of Guidance, Control, and Dynamics, 2015, 38 (12): 2475- 2483. doi: 10.2514/1.G001254
25	HE X Y , LI H Y . Analytical solutions for earth discontinuous coverage of satellite constellation with repeating ground tracks[J]. Chinese Journal of Aeronautics, 2022, 35 (10): 275- 291. doi: 10.1016/j.cja.2021.11.012
26	HAN C , ZHANG Y J , BAI S Z . Geometric analysis of ground-target coverage from a satellite by field-mapping method[J]. Journal of Guidance, Control, and Dynamics, 2021, 44 (8): 1469- 1480. doi: 10.2514/1.G005719
27	龚宇鹏, 张世杰. 偶数重连续覆盖的Walker星座设计方法[J]. 宇航学报, 2022, 43 (9): 1163- 1175.
	GONG Y P , ZHANG S J . Design method for even-fold continuous- coverage Walker constellation[J]. Journal of Astronautics, 2022, 43 (9): 1163- 1175.
28	林宗坚, 李德仁, 胥燕婴. 对地观测技术最新进展评述[J]. 测绘科学, 2011, 36 (4): 5- 8.
	LIN Z J , LI D R , XU Y Y . General review on the new progress of Earth observations[J]. Science of Surveying and Mapping, 2011, 36 (4): 5- 8.
29	ZHU Y H , WANG H , ZHANG J . Spacecraft multiple-impulse trajectory optimization using differential evolution algorithm with combined mutation strategies and boundary-handling schemes[J]. Mathematical Problems in Engineering, 2015, 2015, 949480.
30	宋志明. 星座对地覆盖问题的形式化体系构建与求解算法研究[D]. 武汉: 中国地质大学, 2015: 51-54.
	SONG Z M. Formal system construction and solving algorithm research for coverage problem of constellation to ground[D]. Wuhan: China University of Geosciences, 2015: 51-54.
31	HE X Y , LI H Y . General analysis method for global revisit characteristics of satellite constellation with repeating ground tracks[J]. Acta Astronautica, 2023, 202, 319- 332. doi: 10.1016/j.actaastro.2022.10.051

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