Relativistic effects of LEO satellite and its impact on clock prediction

doi:10.1088/1361-6501/acd545

	Relativistic effects of LEO satellite and its impact on clock prediction
	Wu, Meifang 1; Wang, Kan 1,2; Liu, Jiawei 1,2; Zhu, Yuncong 1
	2023-09-01
发表期刊	MEASUREMENT SCIENCE AND TECHNOLOGY
ISSN	0957-0233
卷号	34 期号:9 页码:14
摘要	Low Earth orbit (LEO) augmentation in the global navigation satellite system has become a focus in the current satellite navigation field. To achieve high precision in positioning, navigation and timing services, relativistic effects should be considered, as they are difficult to distinguish from LEO satellite clock estimates and disturb their predictions. The relativistic effects on LEO satellite clocks are discussed in detail based on both theoretical and empirical results. Two LEO satellite clock prediction strategies are proposed, with and without removing the relativistic effect, using real data from typical LEO satellites: SENTINEL-3B and Gravity Recovery and Climate Experiment Follow-On (GRACE FO-1). For GRACE FO-1 and SENTINEL-3B, the relativistic effects are both on the order of nanoseconds and after removing the relativistic effects, the modified Allan deviations of the clocks are shown to be significantly improved. Based on the prediction strategies proposed, for SENTINEL-3B at around 810 km, with the prediction period increased from 30 to 3600 s, the root mean square error (RMSE) increases from 0.025 ns to about 1.4-1.6 ns. For the lower LEO satellite GRACE FO-1 at around 500 km, the RMSE of the predicted clocks increases more rapidly, i.e. from 0.012 ns at 30 s to about 4.5 ns at 3600 s. Results showed that the LEO satellite relativistic effects developed based on the theory could correct the majority, but not all of the once- and twice-per-revolution terms in the LEO satellite clocks. Although the corrections have exhibited effective improvements in the clock stability, they do not behave better than simply applying the mathematical model to the clock predictions. The latter model, however, does not have physical foundations as the former one.
关键词	LEO satellite clock relativistic effect clock prediction GNSS
资助者	National Science Foundation of China ; National Science Foundation of China ; National Time Service Center, Chinese Academy of Sciences (CAS) ; National Time Service Center, Chinese Academy of Sciences (CAS) ; Key R&D Program of Shaanxi Province ; Key R&D Program of Shaanxi Province ; National Science Foundation of China ; National Science Foundation of China ; National Time Service Center, Chinese Academy of Sciences (CAS) ; National Time Service Center, Chinese Academy of Sciences (CAS) ; Key R&D Program of Shaanxi Province ; Key R&D Program of Shaanxi Province ; National Science Foundation of China ; National Science Foundation of China ; National Time Service Center, Chinese Academy of Sciences (CAS) ; National Time Service Center, Chinese Academy of Sciences (CAS) ; Key R&D Program of Shaanxi Province ; Key R&D Program of Shaanxi Province ; National Science Foundation of China ; National Science Foundation of China ; National Time Service Center, Chinese Academy of Sciences (CAS) ; National Time Service Center, Chinese Academy of Sciences (CAS) ; Key R&D Program of Shaanxi Province ; Key R&D Program of Shaanxi Province
DOI	10.1088/1361-6501/acd545
语种	英语
资助项目	National Science Foundation of China[12003041] ; National Time Service Center, Chinese Academy of Sciences (CAS)[E167SC14] ; Key R&D Program of Shaanxi Province[2022GY-099]
资助者	National Science Foundation of China ; National Science Foundation of China ; National Time Service Center, Chinese Academy of Sciences (CAS) ; National Time Service Center, Chinese Academy of Sciences (CAS) ; Key R&D Program of Shaanxi Province ; Key R&D Program of Shaanxi Province ; National Science Foundation of China ; National Science Foundation of China ; National Time Service Center, Chinese Academy of Sciences (CAS) ; National Time Service Center, Chinese Academy of Sciences (CAS) ; Key R&D Program of Shaanxi Province ; Key R&D Program of Shaanxi Province ; National Science Foundation of China ; National Science Foundation of China ; National Time Service Center, Chinese Academy of Sciences (CAS) ; National Time Service Center, Chinese Academy of Sciences (CAS) ; Key R&D Program of Shaanxi Province ; Key R&D Program of Shaanxi Province ; National Science Foundation of China ; National Science Foundation of China ; National Time Service Center, Chinese Academy of Sciences (CAS) ; National Time Service Center, Chinese Academy of Sciences (CAS) ; Key R&D Program of Shaanxi Province ; Key R&D Program of Shaanxi Province
WOS研究方向	Engineering ; Instruments & Instrumentation
WOS类目	Engineering, Multidisciplinary ; Instruments & Instrumentation
WOS记录号	WOS:000995209100001
出版者	IOP Publishing Ltd
引用统计
文献类型	期刊论文
条目标识符	http://210.72.145.45/handle/361003/14228
专题	高精度时间传递与精密测定轨研究室
通讯作者	Wang, Kan
作者单位	1.Chinese Acad Sci, Natl Time Serv Ctr, Xian 710600, Peoples R China 2.Univ Chinese Acad Sci, Beijing 100094, Peoples R China
推荐引用方式 GB/T 7714	Wu, Meifang,Wang, Kan,Liu, Jiawei,et al. Relativistic effects of LEO satellite and its impact on clock prediction[J]. MEASUREMENT SCIENCE AND TECHNOLOGY,2023,34(9):14.
APA	Wu, Meifang,Wang, Kan,Liu, Jiawei,&Zhu, Yuncong.(2023).Relativistic effects of LEO satellite and its impact on clock prediction.MEASUREMENT SCIENCE AND TECHNOLOGY,34(9),14.
MLA	Wu, Meifang,et al."Relativistic effects of LEO satellite and its impact on clock prediction".MEASUREMENT SCIENCE AND TECHNOLOGY 34.9(2023):14.