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Observing our Changing Earth pp 353–362 Cite as

Gravity Field Determination at the AIUB – The Celestial Mechanics Approach

  • L Prange 3 ,
  • A Jäggi 3 ,
  • G Beutler 3 ,
  • R Dach 3 &
  • L Mervart 3  
  • Conference paper

4227 Accesses

10 Citations

Part of the book series: International Association of Geodesy Symposia ((IAG SYMPOSIA,volume 133))

We present the gravity field model AIUB-CHAMP01S, which has been generated using the Celestial Mechanics approach. GPS-derived kinematic positions of low Earth orbiters (LEOs) are used as pseudo-observations to solve for the Earth’s gravity field parameters in a generalized orbit determination problem. Apart from normalized spherical harmonic (SH) coefficients, arc-specific parameters (e.g., accelerometer calibration parameters, dynamical parameters, or pseudo-stochastic parameters) are set up and normal equations are written for all daily LEO arcs. The daily normal equations are combined to weekly, monthly, and annual systems before inversion. The parametrization can be modified on the normal equation level without a new time-consuming set up of the daily normal equations. The results based on one year of CHAMP data demonstrate that the Celestial Mechanics approach is comparable in quality with other approaches

  • Gravity field determination
  • Pseudo-stochastic parameters
  • Accelerometer data

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Beutler, G. (2005). Methods of Celestial Mechanics, Springer-Verlag

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Dach, R., U. Hugentobler, P. Fridez, M. Meindl (Eds.) (2007). Bernese GPS Software Version 5.0. Astronomical Institute, University of Bern, Switzerland, 2007

Ditmar, P., R. Klees, X. Liu (2007). Frequency-dependent data weighting in global gravity field modeling from satellite data contaminated by non-stationary noise. Journal of Geodesy, 81(81–96)

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Heiskanen, W.A., H. Moritz (1967). Physical Geodesy. Freeman

Hugentobler, U., S. Schaer, G. Weber et al. (2006). CODE IGS Analysis Center Technical Report 2003/2004. In: International GPS Service 2003–2004 Technical Report, IGS Central Bureau, JPL Pasadena, USA

Jäggi, A. (2006). Pseudo-Stochastic Orbit Modeling of Low Earth Satellites Using the Global Positioning System. Ph.D. Thesis, Astronomical Institute, University of Bern, Switzerland

Jäggi, A., G. Beutler, H. Bock, U. Hugentobler (2006). Kinematic and highly reduced-dynamic LEO orbit determination for gravity field estimation. In: Dynamic Planet – Monitoring and Understanding a Dynamic Planet with Geodetic and Oceanographic Tools, edited by C. Rizos et al., pp. 354–361, Springer

Jäggi, A., G. Beutler, L. Prange, R. Dach (2008). Assessment of GPS observables for Gravity Field Recovery from GRACE. In: This volume

Lemoine F.G., F.C. Kenyon, J.K. Factor, R.G. Trimmer, N.K. Pavlis, D.S. Chinn, C.M. Cox, S.M. Klosko, S.B. Luthke, M.H. Torrence, Y.M. Wang, R.G. Williamson, E.C. Pavlis, R.H. Rapp, T.R. Olsen (1998). The development of the joint NASA GSFC and the National Imagery and Mapping Agency (NIMA) geopotential model EGM96. In: NASA Technical Paper, NASA/TP-1998-206861, Goddard Space Flight Center, Greenbelt, USA

Mayer-Gürr T., K.H. Ilk, A. Eicker, M. Feuchtinger (2005). ITG-CHAMP01: a CHAMP gravity field model from short kinematic arcs over a one-year observation period. Journal of Geodesy, 78, 462–480

Reigber C., H. Lühr, P. Schwintzer (1998). Status of the CHAMP Mission. In: Towards an Integrated Global Geodetic Observing System (IGGOS), edited by R. Rummel, H. Drewes, W. Bosch, H. Hornik, Springer, Berlin, 63–65, 1998

Reigber C., P. Schwintzer, K.H. Neumayer, F. Barthelmes, R. König, C. Förste, G. Balmino, R. Biancale, J.M. Lemoine, S. Loyer, S. Bruinsma, F. Perosanz, T. Fayard (2003). The CHAMP-only Earth Gravity Field Model EIGEN-2. In: Advances in Space Research, 31(8), 1883–1888

Reigber C., H. Jochmann, J. Wünsch, S. Petrovic, P. Schwintzer, F. Barthelmes, K.H. Neumayer, R. König, C. Förste, G. Balmino, R. Biancale, J.M. Lemoine, S. Loyer, F. Perosanz (2004). Earth Gravity Field and Seasonal Variability from CHAMP. In: Earth Observation from CHAMP – Results from Three Years in Orbit, edited by C. Reigber H. Lühr, P. Schwintzer, J. Wickert, Springer, Berlin, 25–30, 2004

Wermuth M., D. Švehla, L. Földvary, C. Gerlach, T. Gruber, B. Frommknecht, T. Peters, M. Rothacher, R. Rummel, P. Steigenberger (2004). A gravity field model from two years of CHAMP kinematic orbits using the energy balance approach. In: Geophysical Research Abstracts, Vol. 6, European Geosciences Union

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Astronomical Institute (AIUB), University of Bern, Sidlerstrasse 5, 3012 Bern, Switzerland

L Prange, A Jäggi, G Beutler, R Dach & L Mervart

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Prange, L., Jäggi, A., Beutler, G., Dach, R., Mervart, L. (2009). Gravity Field Determination at the AIUB – The Celestial Mechanics Approach. In: Sideris, M.G. (eds) Observing our Changing Earth. International Association of Geodesy Symposia, vol 133. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-85426-5_42

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