Abstract
Chinese BeiDou navigation satellite system is in official service as a regional constellation with five geostationary earth orbit (GEO) satellites, five inclined geosynchronous satellite orbit (IGSO) satellites and four medium earth orbit (MEO) satellites. There are mainly two methods for precise orbit determination of the BeiDou constellation found in the current literatures. One is the independent single-system method, where only BeiDou observations are used without help from other GNSS systems. The other is the two-step GPS-assisted method where in the first step, GPS data are used to resolve some common parameters, such as station coordinates, receiver clocks and zenith tropospheric delay parameters, which are then introduced as known quantities in BeiDou processing in the second step. We conduct a thorough performance comparison between the two methods. Observations from the BeiDou experimental tracking stations and the IGS Multi-GNSS Experiment network from January 1 to March 31, 2013, are processed with the Positioning and Navigation Data Analyst (PANDA) software. The results show that for BeiDou IGSO and MEO satellites, the two-step GPS-assisted method outperforms the independent single-system method in both internal orbit overlap precision and external satellite laser ranging validation. For BeiDou GEO satellites, the two methods show close performances. Zenith tropospheric delays estimated from the first method are very close to those estimated from GPS precise point positioning in the second method, with differences of several millimeters. Satellite clock estimates from the two methods show similar performances when assessing the stability of the BeiDou on board clocks.









Similar content being viewed by others
Explore related subjects
Discover the latest articles, news and stories from top researchers in related subjects.References
Beutler G, Brockmann E, Gurtner W, Hugentobler U, Mervart L, Rothacher M (1994) Extended orbit modelling techniques at the CODE processing center of the international GPS service for geodynamics (IGS): theory and initial results. Manuscr Geod 19:367–386
Bizouard C, Gambis D (2011) The combined solution C04 for earth orientation parameters consistent with international terrestrial reference frame 2008. IERS notice. http://hpiers.obspm.fr/iers/eop/eopc04/C04.guide.pdf
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
Dow J, Neilan RE, Rizos C (2009) The international GNSS service in a changing landscape of global navigation satellite systems. J Geod 83:191–198
Epstein M, Dass T, Rajan DJ, Gilmourn P (2007) Long-term clock behavior of GPS IIR satellites. In: Proceedings of the 39st precise time and time interval meeting, Long Beach, pp 59–78
Förste C, Schmidt R, Stubenvoll R et al (2008) The GeoForschungsZentrum Potsdam/Groupe de Recherche de Gèodésie Spatiale satellite-only and combined gravity field models: EIGEN-GL04S1 and EIGEN-GL04C. J Geod 82(6):331–346
Ge M, Zhang HP, Jia XL, Song SL, Wickert J (2012) What is achievable with current COMPASS constellation? In: Proceedings of the 25th international technical meeting of the satellite division of the institute of navigation, Nashville, pp 331–339
Geng J, Meng X, Dodson A, Teferle F (2010) Integer ambiguity resolution in precise point positioning: method comparison. J Geod 84(9):569–581
Gong H, Yang W, Wang Y, Zhu X, Wang F (2012) Comparison of short term stability estimation methods of GNSS on-board clock. In: Sun J, Liu J, Yang Y, Fan S (eds) China satellite navigation conference (CSNC) 2012 proceedings. Lecture notes in electrical engineering, vol 160. Springer, Heidelberg, pp 503–513. doi:10.1007/978-3-642-29175-3_46
Haase J, Ge M, Vedel H, Calais E (2003) Accuracy and variability of GPS tropospheric delay measurements of water vapor in the Western Mediterranean. J Appl Meteorol 42:1547–1568
He L, Ge M, Wang J, Wickert J, Schuh H (2013) Experimental study on the precise orbit determination of the BeiDou navigation satellite system. Sensors 13(3):2911–2928
Kouba J, Héroux P (2001) Precise point positioning using IGS orbit and clock products. GPS Solut 5(2):12–28
Kuang D, Bar-Sever YE, Bertiger WI, Hurst KJ, Zumberge JF (2001) GPS-assisted GLONASS orbit determination. J Geod 75(11):569–574
Liu JN, Ge MR (2003) PANDA software and its preliminary result of positioning and orbit determination. Wuhan Univ J Nat Sci 8(2B):603–609
Lou YD, Liu Y, Shi C, Yao XG, Zheng F (2014) Precise orbit determination of BeiDou constellation based on BETS and MGEX network. Sci Rep 4:4692
Lyard F, Lefevre F, Letellier T, Francis O (2006) Modelling the global ocean tides: modern insights from FES2004. Ocean Dyn 56(5–6):394–415
McCarthy DD, Petit G (2004) IERS conventions (2004). IERS technical note 32. Verlag des Bundesamtes für Kartographie und Geodäsie, Frankfurt am Main
Montenbruck O, Hauschild A, Steigenberger P, Hugentobler U, Teunissen P, Nakamura S (2012) Initial assessment of the COMPASS/BeiDou-2 regional navigation satellite system. GPS Solut 17(2):211–222
Pearlman MR, Degnan JJ, Bosworth JM (2002) The international laser ranging service. Adv Space Res 30:135–143
Rebischung P, Griffiths J, Ray J, Schmid R, Collilieux X, Garayt B (2012) IGS08: the IGS realization of ITRF2008. GPS Solut 16(4):483–494
Saastamoinen J (1972) Atmospheric correction for the troposphere and stratosphere in radio ranging of satellites. The use of artificial satellites for geodesy, American Geophysics Union. Geophys Monogr Ser 15:247–251
Shi C, Zhao Q, Li M, Tang W, Hu Z, Lou Y, Zhang H, Niu X, Liu J (2012) Precise orbit determination of BeiDou satellites with precise positioning. Sci China Earth Sci 55:1079–1086
Shi C, Zhao Q, Hu Z, Liu J (2013) Precise relative positioning using real tracking data from COMPASS GEO and IGSO satellites. GPS Solut 17(1):103–119
Steigenberger P, Hugentobler U, Hauschild A, Montenbruck O (2013) Orbit and clock analysis of Compass GEO and IGSO satellites. J Geod 87(6):515–525
Weber R (2012) IGS GNSS working group. In: Meindl M, Dach R, Jean Y (eds) International GNSS service technical report 2011. Jet Propulsion Laboratory, Pasadena, pp 159–163
Wu JT, Wu SC, Hajj GA, Bertiger WI, Lichten SM (1993) Effects of antenna orientation on GPS carrier phase. Manuscr Geod 18:91–98
Xu A, Xu Z, Ge M, Xu X, Zhu H, Sui X (2013) Estimating zenith tropospheric delays from BeiDou navigation satellite system observations. Sensors 13:4514–4526
Yang YX (2010) Progress, contribution and challenges of Compass/Beidou satellite navigation system. Acta Geod Cartogr Sin 39(1):1–6
Zhao Q, Guo J, Li M, Qu L, Hu Z, Shi C, Liu J (2013) Initial results of precise orbit and clock determination for COMPASS navigation satellite system. J Geod 87(5):475–486
Zumberge JF, Heflin MB, Jefferson DC, Watkins MM, Webb FH (1997) Precise point positioning for the efficient and robust analysis of GPS data from large networks. J Geophys Res 102(B3):5005–5017
Acknowledgments
We thank the IGS MGEX campaign for providing multi-GNSS data. We are grateful to the reviewers for their constructive comments and suggestions. This work was supported by the National Nature Science Foundation of China (No. 41374034) and the National “863 Program” of China (Grant No. 2012AA12A202).
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Lou, Y., Liu, Y., Shi, C. et al. Precise orbit determination of BeiDou constellation: method comparison. GPS Solut 20, 259–268 (2016). https://doi.org/10.1007/s10291-014-0436-y
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10291-014-0436-y