Research on evaluation of GNSS system broadcast ERP parameters
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摘要: 中国北斗卫星导航系统(BeiDou Navigation Satellite System，BDS)、美国GPS、日本准天顶卫星系统(Quasi-Zenith Satellite System，QZSS)、印度区域导航卫星系统(Indian Regional Navigation Satellite System，IRNSS)等系统在导航电文中播发了地球自转参数(earth rotation parameter，ERP)，即极移和世界时(Universal Time，UT)－协调世界时(Universal Time Coordinated，UTC) (∆UT1). 广播ERP主要用于需要在地球参考系和惯性参考系之间转换的GNSS星载应用，如卫星精密定轨、地月导航等. 通过国际GNSS服务(International GNSS Service，IGS)收集了BDS、GPS、QZSS、IRNSS的广播ERP数据，评估了各GNSS的广播ERP不连续性，得到GPS和IRNSS的极移不连续性为0.9~1.4 mas，∆UT1不连续性约为0.2 ms；QZSS的极移不连续性约为0.1 mas，∆UT1不连续性约为0.02 ms；BDS的极移不连续性约为4.5 mas，∆UT1不连续性约为1.3 ms. 通过与国际地球自转和参考系服务(International Earth Rotation Service，IERS) 14C04序列比较显示，QZSS极移误差约为0.6 mas，∆UT1误差约为0.27 ms；GPS和IRNSS的极移误差约为2.4 mas，对于∆UT1，GPS误差约为0.36 ms，IRNSS的∆UT1误差相差较大，约为10.47 ms；由于更新间隔较长，BDS极移误差约为6 mas，∆UT1误差约为1.2 ms；与GPS相比，BDS极移与∆UT1误差分别差了近1.5倍和2.5倍.Abstract: Modernized navigation messages of Global Navigation Satellite Systems like BDS, GPS, QZSS and IRNSS include earth rotation parameters (ERPs), namely the pole coordinates and UT－UTC (ΔUT1). Broadcast ERPs are primarily needed for space-borne GNSS applications that require transformations between earth-fixed and inertial reference frames like satellite precise orbit determination as well as earth to the moon navigation. Based on the International GNSS Service (IGS), we obtained broadcast ERP data for BDS, GPS, QZSS, and IRNSS from January 1, 2022 to June 5, 2023. Evaluate the discontinuity of broadcast ERP, the results show that for GPS and IRNSS, the discontinuity of polar motion is 0.9 to 1.4 mas, and the ∆UT1 discontinuity is about 0.2 ms. The discontinuity of polar motion is about 0.1 mas, and the ∆UT1 discontinuity is about 0.02 ms for QZSS. The discontinuity of BDS polar motion is about 4.5 mas, and the ∆UT1 discontinuity is about 1.3 ms. Compared with the external reference 14C04 sequence of the International Earth Rotation and Reference System Service (IERS), the QZSS polar motion error is about 0.6 mas, and the ∆UT1 error is about 0.27 ms. The polar motion of GPS and IRNSS is about 2.4 mas. For ∆UT1, the GPS error is about 0.36 ms, the IRNSS is about 10.47 ms, which is a significant difference. BDS polar motion error is about 6 mas, and ∆UT1 error is about 1.2 ms. Due to less frequent update intervals, compared with GPS, BDS performs worse by a factor of 1.5 and 2.5 for polar motion and ∆UT1 error, respectively.
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Key words:
- earth rotation parameters (ERP) /
- GNSS /
- pole coordinates /
- ∆UT1 /
- discontinuity /
- error
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表 1 GNSS广播ERP不连续性统计值
系统 更新
间隔dXP/
masdYP/
masdUT/
msGPS 1天 1.282 0.679 0.252 BDS 4~20天 5.701 3.872 1.331 INRSS 1天 1.586 1.175 0.191 QZSS 1 h 0.110 0.101 0.025 
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表 2 GNSS广播ERP误差统计
系统 dXP/mas dYP/mas dUT/ms ALL BEST WORST ALL BEST WORST ALL BEST WORST GPS 2.883 2.427 2.851 1.596 1.485 1.683 0.366 0.352 0.400 BDS 7.760 7.558 7.744 4.394 4.302 4.464 1.139 1.157 1.265 INRSS 3.061 2.288 3.530 1.534 1.261 1.812 10.535 10.210 10.670 QZSS 0.710 0.696 0.727 0.568 0.557 0.581 0.281 0.274 0.287
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