Skip to main content

Towards a Consistent Estimation of the Earth’s Gravity Field by Combining Normal Equation Matrices from GRACE and SLR

  • Conference paper
  • First Online:
Book cover IAG 150 Years

Part of the book series: International Association of Geodesy Symposia ((IAG SYMPOSIA,volume 143))

Abstract

Since 2002, the satellite mission GRACE observes the Earth’s static gravity field and its natural changes. The estimation of degree 1 and 2 coefficients is difficult, especially the accuracy of the flattening coefficient C 2, 0 is weak. In temporal GRACE gravity field models, C 2, 0 is therefore often replaced by a value based on Satellite Laser Ranging measurements. In this study, we combine both techniques to get a consistent normal equation matrix, which allows us to study correlations between spherical harmonic coefficients. Unlike common practice, we use 8 SLR satellites and set-up normal equations up to degree 20. The combination is done using different weighting factors to investigate the influence of both techniques on the combined normal equation matrix. Our results show that especially the coefficient C 2, 0 benefits from SLR data, but also (near-) sectorial coefficients and coefficients which correspond to resonance frequencies of SLR satellites. Moreover, we find that high correlations in the SLR normal equation between zonal coefficients are reduced by the combination.

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

References

  • Bjerhammar A (1967) On the energy integral for satellites. Report of the Royal Institute of Technology

    Google Scholar 

  • Bloßfeld M, Müller H, Angermann D (2011) Adjustment of EOP and gravity field parameters from SLR observations. In: Proceedings of the 17th ILRS Workshop, pp 292–296, ISBN: 978-3-89888-999-5

    Google Scholar 

  • Bloßfeld M, Stefka V, Müller H, Gerstl M (2014) Satellite Laser Ranging. A tool to realize GGOS? IAG proceedings 2014 (accepted)

    Google Scholar 

  • Cheng M, Tapley BD, Ries JC (2011) Variations of the Earth’s figure axis from satellite laser ranging and GRACE. J Geophys Res 116:B01409. Doi: 10.1029/2010JB000850

    Google Scholar 

  • Dahle C, Flechtner F, Gruber C, König D, König R, Michalak G, Neumayer K (2012) GFZ GRACE Level-2 Processing Standards Document for Level-2 Product Release 0005, (Scientific Technical Report STR12/02- Data, Revised Edition, January 2013), Potsdam, p 21. Doi: 10.2312/GFZ.b103-1202-25

    Google Scholar 

  • Flechnter F et al (2013) Status GFZ RL05 and RL05a GRACE L2 Products. GRACE Science Team Meeting, Austin, TX, October 23–25, 2013

    Google Scholar 

  • Gerstl M (1997) Parameterschätzung in DOGS-OC. DGFI Int. Bericht Nr. MG/01/1996/DGFI, 2nd edn

    Google Scholar 

  • International Centre for Global Earth Models (ICGEM): Gravity Field Solutions for dedicated Time Periods. http://icgem.gfz-potsdam.de/ICGEM/

  • Koch KR, Kusche J (2002) Regularization of geopotential determination from satellite data by variance components. J Geodesy 76:259–286. Doi: 10.1007/s00190-002-0245-x

    Article  Google Scholar 

  • Mayer-Gürr T (2008) Gravitationsfeldbestimmung aus der Analyse kurzer Bahnbögen am Beispiel der Satellitenmissionen CHAMP und GRACE. Schriftenreihe des Instituts für Geodäsie und Geoinformation der Rheinischen Friedrich-Wilhelms-Universität Bonn, Heft 9

    Google Scholar 

  • Mayer-Gürr T et al (2011) The satellite-only global gravity field model GOCO02S. Presentation at the EGU General Assembly 2011, Vienna, Austria

    Google Scholar 

  • Mayer-Gürr T et al (2012) The new combined satellite only model GOCO03s. Presentation at the International Symposium on Gravity, Geoid and Height Systems 2012, Venice, Italy

    Google Scholar 

  • Pearlman MR, Degnan JJ, Bosworth JM (2002) The international laser ranging service. Adv Space Res 30(2):135–143. Doi: 10.1016/S0273-1177(02)00277-6

    Google Scholar 

  • Tapley BD, Bettadpur S, Watkins M, Reigber C (2004) The gravity recovery and climate experiment: mission overview and early results. Geophys Res Lett 31(9):L09607

    Article  Google Scholar 

  • Watkins M, Yuan D (2012) JPL Level-2 Processing Standards Document For Level-2 Product Release 05

    Google Scholar 

Download references

Acknowledgements

The authors like to thank the editors and the anonymous reviewers for their helpful comments and discussion.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Christoph Haberkorn .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2015 Springer International Publishing Switzerland

About this paper

Cite this paper

Haberkorn, C., Bloßfeld, M., Bouman, J., Fuchs, M., Schmidt, M. (2015). Towards a Consistent Estimation of the Earth’s Gravity Field by Combining Normal Equation Matrices from GRACE and SLR. In: Rizos, C., Willis, P. (eds) IAG 150 Years. International Association of Geodesy Symposia, vol 143. Springer, Cham. https://doi.org/10.1007/1345_2015_76

Download citation

Publish with us

Policies and ethics