基于全球统一坐标框架的GNSS精密轨道与钟差产品一致性分析

doi:10.11947/j.AGCS.2025.20240248

测绘学报 ›› 2025, Vol. 54 ›› Issue (3): 432-447.doi: 10.11947/j.AGCS.2025.20240248

基于全球统一坐标框架的GNSS精密轨道与钟差产品一致性分析

刘学习¹(), 朱守庆¹(), 陈国², 张克非¹, 郑南山¹, 刘婧璇¹

^1.中国矿业大学环境与测绘学院，江苏　徐州　221116
^2.武汉大学卫星导航定位技术研究中心，湖北　武汉　430079

收稿日期:2024-06-19 出版日期:2025-04-11 发布日期:2025-04-11
通讯作者: 朱守庆 E-mail:xuexiliu@cumt.edu.cn;TB23160012A51@cumt.edu.cn
作者简介:刘学习（1992—），男，博士，副教授，研究方向为北斗/GNSS高精度定位理论与方法。　E-mail：xuexiliu@cumt.edu.cn
基金资助:
国家自然科学基金(42304015);江苏省自然科学基金(BK20231087);中国博士后科学基金(2024M753525);江苏省青年科技人才托举工程项目(JSTJ-2024-075);大地测量与地球动力学国家重点实验室开放基金(SKLGED2024-3-7);国家自然科学基金重点项目(U22A20569)

Consistency analysis of GNSS precise orbit and clock products based on globally unified coordinate frame

Xuexi LIU¹(), Shouqing ZHU¹(), Guo CHEN², Kefei ZHANG¹, Nanshan ZHENG¹, Jingxuan LIU¹

^1.School of Environmental and Spatial Informatics, China University of Mining and Technology, Xuzhou 221116, China
^2.GNSS Research Center, Wuhan University, Wuhan 430079, China

Received:2024-06-19 Online:2025-04-11 Published:2025-04-11
Contact: Shouqing ZHU E-mail:xuexiliu@cumt.edu.cn;TB23160012A51@cumt.edu.cn
About author:LIU Xuexi (1992—), male, PhD, associate professor, majors in GNSS high-precision positioning theory and methods.　E-mail: xuexiliu@cumt.edu.cn
Supported by:
The National Natural Science Foundation of China(42304015);The Natural Science Foundation of Jiangsu Province(BK20231087);China Postdoctoral Science Foundation(2024M753525);Jiangsu Province Youth Science and Technology Talent Support Project(JSTJ-2024-075);Open Research Foundation of the State Key Laboratory of Geodesy and Earth's Dynamics(SKLGED2024-3-7);Key Program of the National Natural Science Foundation of China(U22A20569)

摘要/Abstract

摘要：

精密卫星轨道和钟差是实现非差模糊度快速固定及高精度位置服务的关键，轨道和钟差产品综合需要统一不同分析中心产品间的时空基准。本文首先求解布尔莎坐标转换参数，比较了不同分析中心精密轨道之间相似变换参数的差异，并统计各系统相似变换参数间的相关系数。其次，分析了精密钟差产品的基准差异，发现使用所有卫星钟差估计一组线性变换参数进行线性变换有较大常偏量，GPS和Galileo的常偏量最大为200 ps，而GLONASS和BDS的常偏量分别达到1000 ps和2400 ps。本文提出一种对每颗卫星钟差估计一组线性变换参数的方法来消除此常偏量。然后，分析了轨道、站坐标及地球自转参数产品间的基准一致性，多数旋转分量相关系数超过0.5，表明各分析中心之间的定向基准差异较为一致。最后，通过轨道和钟差二次差分析了轨道和钟差的一致性，除去钟差常偏量后，GPS和Galileo轨道和钟差二次差的相关系数多数超过0.9，GLONASS和BDS稍差，但相关系数也大都超过0.6，说明精密卫星轨道与钟差产品二次差的非线性部分较为吻合，轨道变化与钟差变化非常一致。

关键词: GNSS, 精密卫星产品, 轨道和钟差综合, 统一坐标框架, 基准差异分析

Abstract:

Precise satellite orbit and clock offset are the key to fast fixing undifferenced ambiguity and achieving high-precision positioning services. The combination of orbit and clock offset product requires the unification of the spatial and temporal references between products from different analysis centers. This paper first solved for the Bursa coordinate transformation parameters to analysis the difference of similar transformation parameters between the precise satellite orbit products provided by different analysis centers, and statistically calculated the correlation coefficient between the similar transformation parameters of each system of analysis centers. Secondly, the benchmark differences of the precise clock products are analyzed and it is found that there is a significant constant bias in the linear transformation by estimating a set of linear transformation parameters using the clock data of all the satellites. The GPS and Galileo have a constant deviation of up to 200 ps, while the constant deviation of the GLONASS and BDS can reach 1000 ps and 2400 ps respectively. In this paper, we propose a method to eliminate this constant bias by estimating a set of linear transformation parameters for each satellite clock. Thirdly, this paper analyses the benchmark consistency between the orbital and station coordinates and the Earth's rotation parameter products. The correlation coefficients of most of the rotational components are more than 0.5, which indicates that the orientation benchmark differences are more consistent among the analysis centers. Finally, the consistency of orbit and clock is analyzed by making the double difference of orbit and clock. After removing the constant deviation of clock, most of the correlation coefficients of the double difference of orbit and clock of GPS and Galileo are more than 0.9, and the correlation coefficients of GLONASS and BDS are a little bit worse but the correlation coefficients also exceed 0.6. This indicates that the nonlinear parts of the second difference between the precision satellite orbits and the clock products are more consistent, showing a high degree of conformity between orbital changes and clock variations.

Key words: GNSS, precise satellite products, orbit and clock combination, unified coordinate frame, benchmark discrepancies analysis

中图分类号:

P228

刘学习, 朱守庆, 陈国, 张克非, 郑南山, 刘婧璇. 基于全球统一坐标框架的GNSS精密轨道与钟差产品一致性分析[J]. 测绘学报, 2025, 54(3): 432-447.

Xuexi LIU, Shouqing ZHU, Guo CHEN, Kefei ZHANG, Nanshan ZHENG, Jingxuan LIU. Consistency analysis of GNSS precise orbit and clock products based on globally unified coordinate frame[J]. Acta Geodaetica et Cartographica Sinica, 2025, 54(3): 432-447.

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分析中心	系统	D_x	D_y	D_z	R_x	R_y	R_z	m
GFZ-CODE	E-G	0.203	0.205	0.590	0.712	0.664	0.642	0.190
GFZ-CODE	R-G	0.172	0.012	0.393	0.523	0.465	0.467	0.260
GFZ-CODE	C-G	0.023	0.097	0.143	0.488	0.359	-0.020	0.217
GRG-CODE	E-G	0.621	0.630	0.873	0.767	0.668	0.683	0.756
GRG-CODE	R-G	0.379	0.447	0.332	0.557	0.363	0.504	0.603
WHU-CODE	E-G	0.309	0.295	0.747	0.823	0.747	0.684	0.629
WHU-CODE	R-G	0.230	0.063	0.214	0.265	0.269	0.402	0.348
WHU-CODE	C-G	0.014	0.104	0.180	0.247	0.227	0.075	0.302
ESA-CODE	E-G	0.252	0.305	0.749	0.856	0.764	0.630	0.608
ESA-CODE	R-G	0.205	0.015	0.173	0.408	0.433	0.402	0.550
MIT-CODE	E-G	0.022	0.161	0.642	0.794	0.619	0.881	0.157

基于全球统一坐标框架的GNSS精密轨道与钟差产品一致性分析

Consistency analysis of GNSS precise orbit and clock products based on globally unified coordinate frame

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