Skip to main content

GPS Receiver Clock Modelling for Kinematic-Based Precise Orbit Determination of Low Earth Orbiters

  • Conference paper
  • First Online:
China Satellite Navigation Conference (CSNC) 2014 Proceedings: Volume III

Part of the book series: Lecture Notes in Electrical Engineering ((LNEE,volume 305))

Abstract

This paper describes a GPS receiver clock model that can improve the accuracy of kinematic orbit determination for spacecraft in low earth orbit. The receiver clock error is commonly estimated on an epoch-by-epoch basis, along with the satellite’s position. However, due to the high correlation between the spacecraft orbit altitude and the receiver clock parameters, estimates of the radial component are degraded in the kinematic-based approach. Using clocks with high stability, e.g., ultra-stable oscillators, the highly predictable frequency behaviour of the receiver oscillator can be fully exploited to improve the positioning accuracy, especially for the radial component. A simple two-state model is used to describe the deterministic and stochastic property of the receiver clock. In particular, the clock parameters are estimated as time offset and frequency offset. Additionally, residual non-deterministic random errors such as frequency white noise, flicker noise and random-walk noise are modelled. The test results of GRACE flight data indicate that the positioning accuracy could be improved significantly. In particular, the radial component error was reduced by over 60 %.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 169.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Hardcover Book
USD 219.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. Montenbruck O (2003) Kinematic GPS positioning of LEO satellites using ionosphere-free single frequency measurements. Aerosp Sci Technol 7(5):396–405

    Article  Google Scholar 

  2. Švehla D, Rothacher M (2003) Kinematic and reduced-dynamic precise orbit determination of low earth orbiters. Adv Geosci 1:47–56

    Article  Google Scholar 

  3. Yunck TP et al (1990) Precise tracking of remote sensing satellites with the global positioning system. Geosci Remote Sens, IEEE Trans 28(1):108–116

    Article  Google Scholar 

  4. Montenbruck O et al (2005) Reduced dynamic orbit determination using GPS code and carrier measurements. Aerosp Sci Technol 9(3):261–271

    Article  Google Scholar 

  5. Kouba J (2009) A guide to using international GNSS Service (IGS) products (available electronically at http://igscb.jpl.nasa.gov/igscb/resource/pubs/UsingIGSProductsVer21.pdf) (Unpublished)

  6. Yeh T-K et al (2009) Determination of global positioning system (GPS) receiver clock errors: impact on positioning accuracy. Measure Sci Technol 20(7)

    Google Scholar 

  7. Weinbach U, Schon S (2012) Improved GPS receiver clock modeling for kinematic orbit determination of the GRACE satellites. In: European frequency and time forum (EFTF)

    Google Scholar 

  8. Galleani L, Tavella P (2010) Time and the kalman Filter. Control Syst, IEEE 30(2):44–65

    Article  MathSciNet  Google Scholar 

  9. Chan F-C, Pervan B (2009) Stochastic modeling of GPS receiver clocks for improved positioning and fault detection performance. In: Proceedings of the 22nd international technical meeting of the satellite division of the institute of navigation (ION GNSS-2009), Savannah, GA

    Google Scholar 

  10. Weinbach U, Schön S (2013) Improved GRACE kinematic orbit determination using GPS receiver clock modeling. GPS Solutions 17(4):511–520

    Article  Google Scholar 

  11. Petit G, Luzum B (2010) IERS conventions. IERS Tech Note 36:179

    Google Scholar 

  12. Larson KM et al (2007) An assessment of relativistic effects for low Earth orbiters: the GRACE satellites. Metrologia 44(6):484

    Article  Google Scholar 

  13. Psiaki ML, Mohiuddin S (2007) Modeling, analysis, and simulation of GPS carrier phase for spacecraft relative navigation. J Guid Control Dyn 30(6):1628–1639

    Article  Google Scholar 

  14. Montenbruck O et al (2009) Antenna phase center calibration for precise positioning of LEO satellites. GPS Solutions 13(1):23–34

    Article  Google Scholar 

  15. Brown RG, Hwang PY (2012) Introduction to random signals and applied kalman filtering with MATLAB exercises. 2012: Wiley Global Education

    Google Scholar 

  16. Dunn C et al (2002) The instrument on NASA’s GRACE mission: augmentation of GPS to achieve unprecedented gravity field measurements. In: Proceedings of the 15th international technical meeting of the satellite division of the institute of navigation (ION GPS 2002). Portland, OR, Sep 2002

    Google Scholar 

  17. Allan DW (1987) Time and frequency(time-domain) characterization, estimation, and prediction of precision clocks and oscillators. IEEE Trans Ultrason Ferroelectr Freq Control 34(6):647–654

    Article  MathSciNet  Google Scholar 

  18. Riley W (2003) Techniques for frequency stability analysis. In: IEEE international frequency control symposium, Tampa, FL

    Google Scholar 

  19. Case K, Kruizinga G, Wu S (2002) GRACE level 1B data product user handbook. JPL Publication D-22027

    Google Scholar 

  20. Tseng T-P et al (2013) Assessing antenna field of view and receiver clocks of COSMIC and GRACE satellites: lessons for COSMIC-2. GPS Solutions, pp 1–12

    Google Scholar 

Download references

Acknowledgments

China Scholarship Council (CSC) is gratefully acknowledged for supporting the first author’s visiting periods at the University of New South Wales.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Yang Yang .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2014 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Yang, Y., Yue, X., Li, Y., Rizos, C., Dempster, A.G. (2014). GPS Receiver Clock Modelling for Kinematic-Based Precise Orbit Determination of Low Earth Orbiters. In: Sun, J., Jiao, W., Wu, H., Lu, M. (eds) China Satellite Navigation Conference (CSNC) 2014 Proceedings: Volume III. Lecture Notes in Electrical Engineering, vol 305. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-54740-9_12

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-54740-9_12

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-54739-3

  • Online ISBN: 978-3-642-54740-9

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics