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Study on systematic errors of BDS‑3 broadcast ephemeris and their effects with Helmert transformation

Satellite Navigation 2023年第3期4卷 153-166页

作者： Min Li Jiangnan Zhang Guo Chen Liang Chen Qile Zhao GNSS Research Center Wuhan UniversityNo.129 Luoyu RoadWuhan 430079China School of Geodesy and Geomatics Wuhan UniversityNo.129 Luoyu RoadWuhan 430079China School of Electronic and Information Engineering Beihang UniversityBeijing 100191China

Previous studies have not evaluated the systematic errors implied in the third generation of BeiDou-3 Navigation Satellite System(BDS-3)broadcast *** this paper we evaluate the systematic pattern described by the Helmert transformation parameters,including translations,rotations,and ***-3 broadcast and precise ephemerides from December 2019 to 2022 are collected,and the characteristics of the transformation parameters as well as their effects on the signal in space error are *** annual variation in the z-translation is obtained,and the similar amplitudes of 5.5 cm and phases of approximate 300 days are obtained for different *** the rotation parameters are considered in the orbit comparison,the Root Mean Square(RMS)errors of the along-and cross-track orbital differences decrease from 29.1 to 12.5 cm and from 30.6 to 9.2 cm,respectively,because the three rotation parameters compensate for the majority of the errors in the BDS-3 broadcast ***,the high correlations in the obtained rotation parameters among the three orbital planes suggest that the orientation of the BDS-3 broadcast ephemeris is influenced by common model errors,i.e.,uncertainty of Earth Rotation parameters(ERPs).Further research is required because an offset of 1.5×10^(–9)for the scale parameter is observed.A degraded User Range Error(URE)for epochs of up to 84%is attained when the systematic pattern is considered,though the impact of the systematic pattern indicated by the z-translation and rotation parameters on the URE is less than 5.0 *** the refinement of the ERPs implemented in the new generation of broadcast ephemeris,we anticipate that the broadcast ephemeris performance of BDS-3 will be improved.

关键词： Broadcast ephemeris BDS-3 Helmert transformation transformation parameters Correlation coefficient URE

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SARC Model for Three-Dimensional Coordinate transformation

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Geo-Spatial Information Science 2006年第2期9卷 84-88页

作者： YAO Jili WANG Shuguang SUN Yating School of Architecture Engineering Shandong University of Technology Zibo 255049 China

In this paper, a transformation model named SARC(static-filter adjustment with restricted condition) is presented, which is more practical and more rigorous in theory and fitting any angle of rotation parameter. The transformation procedure is divided into 4 steps: ① the original and object coordinates can be regarded as observations with errors; ② rigorous formula is firstly deduced in order to compute the first approximation of the transformation parameters by use of four common points and the transformation equation is linearized; ③ calculate the most probable values and variances of the seven transformation parameters by SARC model; ④ to demonstrate validity of SARC , an example is given.

关键词： SARC 3D coordinate transformation transformation parameters transformation equation

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Research on the Combination of IGS Analysis‐Center Solution for Station Coordinates and ERPs

Research on the Combination of IGS Analysis‐Center Solution...

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第五届中国卫星导航学术年会

作者： LI Min XU Tian‐he Chang'an University State Key Laboratory of Geo‐information Engineering State Key Laboratory of Geodesy and Earth's Dynamics Xian Research Institute of Surveying and Mapping

ISBN: (纸本)9783642547393

This paper mainly focus on the issues of combining the station coordinates and ERPs based on the SINEX file, and discusses the constraints and normal equation’s reconstruction in the SINEX file in details. The combination model and computational steps are given. A weighted‐combination method based on the polynomial fitting residuals is proposed for the pole motion parameters. Computations and comparisons are performed using the proposed methods. The results show that the SINEX combination solution have the consistent accuracy with those provided by IGS. The accuracy of station coordinates in x and y direction is about 3 mm, and 4 mm in direction z. The accuracy of pole motion parameters and their rate are 0.02mas and 0.05mas/d respectively. The accuracy of ERP solution based on the SINEX file is higher than that of the weighted‐combination method.

关键词： Station coordinates ERPs SINEX transformation parameters Polynomial fitting

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Modern Development for the Improvement of Accuracy of Nigerian Coordinate transformation Process Using the Adapted NTv2 Model: The Critical Issues of the Mathematical Algorithm

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International Journal of Geosciences 2020年第11期11卷 768-781页

作者： Lawrence Hart Kurotamuno Peace Jackson Francis Ifeanyi Okeke Department of Surveying and Geomatics Rivers State University Port Harcourt Nigeria Department of Geoinformatics and Surveying University of Nigeria Enugu Nigeria

Changing coordinates using appropriate mathematical models from one reference system to another may be influenced if the operation requires the change of datum. A set of transformation parameters has been adopted for Nigeria. However, the critical concern usually associated with the problem of transformation of coordinates is the issue of recoverability of the original values of transformed coordinates. The recursive effect of variables associated with spatial problems can be aptly modelled with an appropriate algorithm that set out a process to achieve a definite output. Consequently, the main thrust of this paper is to highlight the critical elements of the mathematical algorithm associated with the National transformation Version 2 (NTv2) model adapted for the Nigerian Datum transformation process. The adapted NTv2 model adopts the bi-linear interpolation approach and the covariance function obtained were used to generate transformation elements in latitude (Δφp) and longitude (Δλp) and corresponding accuracies at the lattice nodes. The mathematical algorithm of this adapted NTv2 model underscores the likely attainment of better and significant values and statistical indicator of the improved accuracy as the average shift values for latitude and longitude for any transformed points in Nigeria. This capability makes the mathematical algorithm to be adaptable and fit for the purpose of the transformation process. The improvement in the positional accuracy is directly attributable to the application of the NTv2 model which provides a flexible and robust system of modelling any inherent systematic error in the national network.

关键词： transformation parameters Geodetic Datum NTv2 Model WGS84

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