GPS Solutions

, 22:49 | Cite as

Estimation of antenna phase center offset for BDS IGSO and MEO satellites

  • Guanwen Huang
  • Xingyuan Yan
  • Qin Zhang
  • Chenchen Liu
  • Le Wang
  • Zhiwei Qin
Original Article


The BeiDou satellite navigation system (BDS) is different from other global navigation satellite systems (GNSSs) because of its special constellation, which consists of satellites in geostationary earth orbit, inclined geosynchronous earth orbit (IGSO), and medium earth orbit (MEO). Compared to MEO satellites, the observations of IGSO satellites cover only a small range of nadir angles. Therefore, the estimation of phase center offsets (PCOs) suffers from high correlation with other estimation parameters. We have estimated the phase center offsets for BeiDou IGSO and MEO satellites with a direct PCO parameters model, and constraints are applied to cope with the correlation between the PCOs and other parameters. Validation shows that the estimated PCO parameters could be used to improve the accuracy of orbit and clock offset overlaps. Compared with the Multi-GNSS Experiment antenna phase center correction model, the average improvements of the proposed method for along-track, cross-track, and radial components are 19 mm (31%), 5 mm (14%), and 2 mm (15%) for MEO satellites, and 13 mm (17%), 12 mm (21%), and 5 mm (19%) for IGSO satellites. For clock offset overlaps, average improvements of standard deviation and root mean square (RMS) are 0.03 ns (20%) and 0.03 ns (12%), respectively. The RMS of precise coordinates in the BDS-only positioning was also improved significantly with a level of 24 mm (30%) in the up-direction. Finally, the overall uncertainty of the estimated results is discussed.


BeiDou Satellite antenna phase center offsets Improved strategies Precise orbit determination 



Thanks for the data support of iGMAS and IGS. This research was partly supported by the National Natural Science Foundation of China (Grant Nos. 41731066, 41774025); the Program of the Grand Projects of the Beidou-2 System (Grant No. GFZX0301040308), the National Natural Science Foundation of Shaan Xi (Grant No. 2016JQ4011), and the Special Fund for Basic Scientific Research of Central Colleges (Grant Nos. 310826172006, 310826172202, 310826173101, Chang’an University). Finally, the authors are also grateful for the comments and remarks of the reviewers, who helped to improve the manuscript significantly.


  1. Beutler G, Brockmann E, Gurtner W, Hugentobler U, Mervart L, Rothacher M, Verdun A (1994) Extended orbit modeling techniques at the CODE processing center of the international GPS service for geodynamics (IGS): theory and initial results. Manuscr Geod 19(6):367–386Google Scholar
  2. Boehm J, Niell A, Tregoning P, Schuh H (2006) Global Mapping Function (GMF): a new empirical mapping function based on numerical weather model data. Geophys Res Lett 33(7):L07304. CrossRefGoogle Scholar
  3. Boehm J, Heinkelmann R, Schuh H (2007) Short note: a global model of pressure and temperature for geodetic applications. J Geod 81(10):679–683. CrossRefGoogle Scholar
  4. Dilssner F, Springer T, Schönemann E, Enderle W (2014) Estimation of satellite Antenna Phase Center corrections for BeiDou. In: Proceedings of IGS workshop 2014, June 23–27, Pasadena, USAGoogle Scholar
  5. Ge M, Gendt G, Dick G, Zhang FP (2005a) Improving carrier-phase ambiguity resolution in global GPS network solutions. J Geod 79(1–3):103–110. CrossRefGoogle Scholar
  6. Ge M, Gendt G, Dick G, Zhang FP, Reigber C (2005b) Impact of GPS satellite antenna offsets on scale changes in global network solutions. Geophys Res Lett 32(6):L06310. CrossRefGoogle Scholar
  7. Ge M, Chen J, Dousa J, Gendt G, Wickert J (2012) A computationally efficient approach for estimating high-rate satellite clock corrections in realtime. GPS Solut 16:9–17. CrossRefGoogle Scholar
  8. Guo J, Chen G, Zhao Q, Liu J, Liu X (2016a) Comparison of solar radiation pressure models for BDS IGSO and MEO satellites with emphasis on improving orbit quality. GPS Solut. Google Scholar
  9. Guo J, Xu X, Zhao Q, Liu J (2016b) Precise orbit determination for quad-constellation satellites at Wuhan University: strategy, result validation, and comparison. J Geod 90(2):143–159. CrossRefGoogle Scholar
  10. Lou Y, Liu Y, Shi C, Wang B, Yao X, Zheng F (2016) Precise orbit determination of BeiDou constellation: method comparison. GPS Solut 20(2):259–268CrossRefGoogle Scholar
  11. Montenbruck O, Schmid R, Mercier F, Steigenberger P, Noll C, Fatkulin R, Kogure S, Ganeshan AS (2015a) GNSS satellite geometry and attitude models. Adv Space Res 56(6):1015–1029. CrossRefGoogle Scholar
  12. Montenbruck O, Steigenberger P, Hugentobler U (2015b) Enhanced solar radiation pressure modeling for Galileo satellites. J Geod 89(3):283–297. CrossRefGoogle Scholar
  13. Montenbruck O et al (2017) The Multi-GNSS Experiment (MGEX) of the International GNSS Service (IGS)—achievements, prospects and challenges. Adv Space Res 59(7):1671–1697. CrossRefGoogle Scholar
  14. Saastamoinen J (1973) Contributions to the theory of atmospheric refraction, part II: refraction corrections in satellite geodesy. Bull Geod 105(1):279–298. CrossRefGoogle Scholar
  15. Schmid R, Rothacher M (2003) Estimation of elevation-dependent satellite antenna phase center variations of GPS satellites. J Geod 77(7–8):440–446CrossRefGoogle Scholar
  16. Schmid R, Steigenberger P, Gendt G, Ge M, Rothacher M (2007) Generation of a consistent absolute phase center correction model for GPS receiver and satellite antennas. J Geod 81(12):781–798. CrossRefGoogle Scholar
  17. Schmid R, Dach R, Collilieux X, Jäggi A, Schmitz M, Dilssner F (2016) Absolute IGS antenna phase center model igs08.atx: status and potential improvements. J Geod 90(4):343–364. CrossRefGoogle Scholar
  18. Steigenberger P, Fritsche M, Dach R, Schmid R, Montenbruck O, Uhlemann M, Prange L (2016) Estimation of satellite antenna phase center offsets for Galileo. J Geod 90(8):773–785. CrossRefGoogle Scholar

Copyright information

© Springer-Verlag GmbH Germany, part of Springer Nature 2018

Authors and Affiliations

  1. 1.College of Geology Engineering and GeomaticsChang’an UniversityXi’anChina

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