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

doi:10.11947/j.AGCS.2025.20240248

Abstract

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

CLC Number:

P228

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