Skip to main content

Research on Integrated Orbit Determination Combined Satellite-Ground and Inter-Satellite Observation Based on Helmert Method of Variance Components Estimate

  • Conference paper
  • First Online:
China Satellite Navigation Conference (CSNC) 2012 Proceedings

Part of the book series: Lecture Notes in Electrical Engineering ((LNEE,volume 160))

  • 2054 Accesses

Abstract

Because of the different precision of the satellite-ground and inter-satellite observations, how to correctly determine the weight of the two kinds of observations is still a key technique in integrated orbit determination. According to the ground stations and different kinds of the inter-satellite cross-link of the Chinese COMPASS satellite navigation system, the weight of the two kinds of observations was determined by the Helmert method of variance components estimate, and then the new weight was used in the integrated orbit determination. The results show that this method could reasonably determine the weight of satellite-ground and inter-satellite observations and improve the precision of integrated orbit determination. For the integrated orbit determination based on the Satellite-Ground and Inter-Satellite cross-link fixed antenna data, the orbit accuracies improve from 0.15 to 0.04 m after use the Helmert estimation weight to replace the priori. And the result is 0.06–0.03 m for the Satellite-Ground and Inter-Satellite cross-link UHF antenna data.

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
Softcover Book
USD 219.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
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

Similar content being viewed by others

References

  1. Ou, J., Liu, J., & Sun, B. (2007). Precision orbit determination of a geostationary satellite geo with mirror surface projection method. Geomatics and Information Science of Wuhan University, 11, 975–979, 997.

    Google Scholar 

  2. Wei, Z., & Ge, M. (1998). GPS relative positioning mathematical model. Beijing: Survey and Mapping Press.

    Google Scholar 

  3. Geng, T. (2009). Real-time precise orbit determination theory for navigation satellite and its experimental application based on regional reference stations. Dissertation, Wuhan University, Wuhan.

    Google Scholar 

  4. Rajan, J. A., Brodie, P., & Rawicz, H. (2003). Modernizing GPS autonomous navigation with anchor capability. ION GPS/GNSS (pp. 1534–1543). Portland: [s. n.].

    Google Scholar 

  5. Shuai, P. (2009). X-ray pulsar-based navigation system theory and methods. Beijing: China Space Press.

    Google Scholar 

  6. Liu, W. (2008). Research and simulation on autonomous orbit determination and combined orbit determination of navigation satellite. Dissertation, Wuhan University, Wuhan.

    Google Scholar 

  7. Zhang, F. (2000). The A posteriori estimation of stochastic model in statistical orbit determination. ACTA Astronomica Sinica, 41(2), 129–137.

    Google Scholar 

  8. Zhang, F. (2000). Application of the improved Helmert method for variance component estimation in precise orbit determination. ACTA Geodaetica et Cartographica Sinica, 29(3), 216–233.

    Google Scholar 

  9. Zhang, F. (2001). Application of variance component estimation to precision orbit determination for ERS-2. ACTA Astronomica Sinica, 42(2), 173–183.

    Google Scholar 

  10. Ran, C. (2010). Plan of compass development. Beijing: Chinese Compass Satellite Navigation Systems Management Office.

    Google Scholar 

  11. Cui, X. (2009). Generalized surveying adjustment. Wuhan: Wuhan University Press.

    Google Scholar 

Download references

Acknowledgments

This study is sponsored by the Fundamental Research Fund for the Central Universities, Specialized Research Fund for the Doctoral Program of Higher Education (No. 20110141120076), and Open Research Fund Program of the Key Laboratory of Geospace Environment and Geodesy, Ministry of Education, China (No. 10-02-01).

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Xing Su .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2012 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Su, X., Geng, T., Zhao, Q., Qu, L., Li, X. (2012). Research on Integrated Orbit Determination Combined Satellite-Ground and Inter-Satellite Observation Based on Helmert Method of Variance Components Estimate. 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, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-29175-3_31

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-29175-3_31

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-29174-6

  • Online ISBN: 978-3-642-29175-3

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics