abstract
Based on the energy integral equation of satellite orbit-motion, some applied computation formulas for Earth gravity field recovery from satellite to satellite tracking data are presented, in which a strict expression of the difference of kinetic energy between two satellites on the same orbit in terms of KBR range-rate observation value is given. Using GRACE data from the both satellite and energy integral method, a gravity model with max. degree 120 is derived, which named WHU-GM-05. The tests of WHU-GM-05 series are performed by multi-comparisons, which include the comparisons between the model series and several analogous international geopotential models with respect to the corresponding degree variances, error spectra and geoidal heights, and comparisons of the model geoidal heights with GPS leveling in the area of U.S. and China (some regions). The results show that the total accuracy of WHU-GM-05 series is near to that of the models used in the comparisons.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
references
Bettadpur, S.:2003, GRACE ProductSpecification Document, GRACE 327–720.
Bjerhammar, A.: 1967, A New Approach to Satellite Geodesy. Research Institute for Geodetic Sciences, 701 Prince Street, Alexandria, Virginia, 22314, USA.
Colombo, O. L.: 1981, Numerical Methods for Harmonic Analysis on the Sphere. Department of Geodetic Science Report No. 310, Ohio State University, Columbus.
Ditmar, P., and van Eck van der Sluijs, A. A.: 2004, A technique for earth’s gravity field modeling on the basis of satellite accelerations. Journal of Geodesy, 78: 12–33.
Ditmar, P., Klees, R., and Kostenko, F.: 2003, Fast and accurate computation of spherical harmonic coefficients from satellite gravity gradiometry data. Journal of Geodesy, 76, 690–705.
Frank F.: 2003 GRACE AOD1B product description document. Geoforschungszentrum Potsdam.
Gerlach, Ch., Sneeuw, N., Visser, P., and vehla, D. Š.: 2003, CHAMP gravity field recovery using the energy balance approach. Advances in Geosciences, 1, 73–80.
Han, S.-C.: 2003, Efficient Determination of Global Gravity Field from Satellite-to-satellite Tracking (SST). Ph. D. Dissertation, The Ohio State Univ, Columbus.
Han, S.-C., Jekeli, Ch., and Shum, C. K.: 2002, Efficient gravity field recovery using in site disturbing potential observable from CHAMP. Geophysical Research Letters, 29(16).
Hotine, M., and Morrison, F.: 1969, First Integrals of the Equations of Satellite Motion. 41–45.
Ilk, K.H. and Löcher, A.: 2003, The use of energy balance relations for validation of gravity field models and orbit determination results. A Window in the Future of Geodesy, pp. 494–499, Proceedings of the International Association of Geodesy IAG General Assembly Sapporo. Japan June 30–July 11.
Jekeli, Ch.: 1999, The determination of gravitational potential differences from satellite-to-satellite tracking. Celestial Mechanics and Dynamical Astronomy, 75, 85–101.
O’Keefe, J.: 1957, An application of Jacobi’s integral to the motion of an earth satellite. The Astronomical Journal, 62 (1252), 265–266.
Rummel, R. et al.: 1993, Spherical harmonic analysis of satellite gradiometry. Netherlands publications on Geodesy.
Sneeuw, N.: 2000, A Semi-Analytical Approach to Gravity Field Analysis from Satellite Observations: Ph. D. Dissertation, der Technischen Universität München.
Sneeuw, N., Gerlach, Ch., Švehla, D., and Gruber, Ch.: 2002, A first attempt at time-variable gravity recovery from CHAMP using the energy balance approach. in: IN Tziavos (ed.) Gravity and Geoid 2000, pp 237–242, Proc. 3rd Meeting of the International Gravity and Geoid Commission, Thessaloniki, 26–30.
Sünkel, H. (ed.): 2000, From Eötvös to mGal, ESA/ESTEC contract No, 13392/98/NL/GD.
Sünkel, H.: 2002, From Eotvos to Milligal. Final Report. ESA.
Tscherning, C. C.: 2001, Computation of spherical harmonic coefficients and their error estimates using least-squares collocation. Journal of Geodesy, 75: 12–18.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2008 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Wang, Z., Li, J., Chao, D., Jiang, W. (2008). GRACE Gravity Model Derived by Energy Integral Method. In: Xu, P., Liu, J., Dermanis, A. (eds) VI Hotine-Marussi Symposium on Theoretical and Computational Geodesy. International Association of Geodesy Symposia, vol 132. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-74584-6_6
Download citation
DOI: https://doi.org/10.1007/978-3-540-74584-6_6
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-74583-9
Online ISBN: 978-3-540-74584-6
eBook Packages: Earth and Environmental ScienceEarth and Environmental Science (R0)