A method for satellite ultra-rapid orbit and clock offset estimation based on the prior information of the GNSS clock parameters

doi:10.11947/j.AGCS.2025.20240451

Abstract

Abstract:

GNSS ultra-rapid orbit and clock products are widely used in the area of real-time and near-real-time fast location-based services. However, due to the restriction of time-consuming and observations quality in the parameters estimation, the correlation between orbit and clock offset parameters in ultra-rapid determination is not considered. In addition, the merits of satellite onboard clock information is ignored. Therefore, in this research, an improved ultra-rapid orbit and clock estimation method is proposed based on the prior constraint on the GNSS clock parameters. First, the time-difference carrier phase algorithm is used to epoch-wisely update the satellite clock offset by fixing satellite orbit. Second, the short-term prediction model of clock offset is constructed to extract the prior information and model the satellite onboard atomic clock parameters. Third, the augmented model of ultra-rapid orbit and clock offset is constructed by the constraint of satellite onboard clock parameters in orbit determination equation. According to the experiment results, it is indicated that the significant correlation among orbit and clock offset parameters is presented, in which the accuracy of ultra-rapid clock offset can be improved with 30.9%~50.7%, compared with the traditional ultra-rapid clock products by fixing the orbit parameters. Meanwhile, the millimeter-level and at least 32.9% for orbit and clock offset accuracy improvements can be obtained by the prior constraint on clock parameters. Additionally, the performances of static PPP solution are respectively improved with 9.9%, 16.9% and 9.3% for E, N and U directions, compared with the traditional ultra-rapid orbit and clock products. Therefore, the proposed GNSS satellite orbit and clock offset method can effectively improve the performances of ultra-rapid products, which will further provide supporting for the high-quality PNT services.

Key words: GNSS, ultra-rapid satellite clock offset, prior information, orbit and clock offset parameters, parameters estimation

CLC Number:

P228

Qianxin WANG, Chao HU, Tong CHENG. A method for satellite ultra-rapid orbit and clock offset estimation based on the prior information of the GNSS clock parameters[J]. Acta Geodaetica et Cartographica Sinica, 2025, 54(6): 982-994.

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卫星系统	最终钟差/ns	超快速钟差/ns	单历元钟差/ns	提升率/（%）
铷钟（Rb）	0.072	0.219	0.108	50.7
铯钟（Cs）	0.058	0.110	0.076	30.9
氢钟（PHM）	0.033	0.102	0.055	46.1

参数	钟类型	超快速/cm	白噪声/cm	先验信息/cm	提升率/（%）
轨道钟差	GPS	3.719	3.662	2.898	22.1
	GLONASS	6.799	6.616	6.322	7.0
	Galileo	3.496	3.363	3.004	14.1
	BDS-3	4.418	4.030	3.831	13.3
	铷钟（Rb）	0.192	0.112	0.062	44.6
	铯钟（Cs）	0.094	0.085	0.057	32.9
	氢钟（PHM）	0.082	0.032	0.020	37.5

方案	定位精度/cm			收敛时间/min
方案	E	N	U	E	N	U
超快速	4.14	2.49	4.50	27.31	27.83	43.72
白噪声	5.29	3.45	6.37	26.33	28.61	34.94
先验信息	3.73	2.07	4.08	19.18	24.55	28.16
提升率	9.9%	16.9%	9.3%	29.8%	11.8%	35.6%