Summary
CHAMP orbits and accelerometer data are used to recover the long- to medium-wavelength features of the Earth's gravitational potential. In this study we are concerned with analyzing preprocessed data in a framework of multiscale recovery of the Earth's gravitational potential, allowing both global and regional solutions. The energy conservation approach has been used to convert orbits and accelerometer data into in-situ potential. Our modelling is spacewise, based on (1) non-bandlimited least square adjustment splines to take into account the true (non-spherical) shape of the trajectory (2) harmonic regularization wavelets for solving the underlying inverse problem of downward continuation. Furthermore we can show that by adapting regularization parameters to specific regions local solutions can improve considerably on global ones. We apply this concept to kinematic CHAMP orbits, and, for test purposes, to dynamic orbits. Finally we compare our recovered model to the EGM96 model, and the GFZ models EIGEN-2 and EIGEN-GRACE01s.
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References
Driscoll JR, Healy DM (1994) Computing Fourier Transforms and Convolutions on the 2-Sphere. Adv Appl Math 15: 202–250.
MJ Fengler, Freeden W, Michel V (2003) The Kaiserslautern Multiscale Geopotential Model SWITCH-03 from Orbit Perturbations of the Satellite CHAMP and Its Comparison to the Models EGM96, UCPH2002_02_0.5, EIGEN-1s, and EIGEN-2. Geophys J Inter (accepted).
Freeden W (1981) On Approximation by Harmonic Splines. Manuscr Geod 6: 193–244.
Freeden W (1999) Multiscale Modelling of Spacebome Geodata. BG Teubner, Stuttgart, Leipzig.
Freeden W, Gervens T, Schreiner M (1998) Constructive Approximation on the Sphere (With Applications to Geomathematics). Oxford Science Publications, Clarendon, Oxford.
Gerlach C, Sneeuw N, Visser P, Svehla D (2003) CHAMP gravity field recovery with the energy balance approach: first results. in: Reigber C, Lühr H, Schwintzer P (eds), First CHAMP Mission Results for Gravity, Magnetic and Atmospheric Studies, Springer, Berlin: 134–139.
Han S-C, Jekeli C, Shum CK (2002) Efficient Gravity Field Recovery using in situ Disturbing Potential Observables from CHAMP. Geophys Res Lett 29(16): doil0.1029/2002GL015180.
Jekeli C (1999) The determination of gravitational potential differences from satellite-to-satellite tracking. Cel Mech Dyn Astron 75: 85–101.
Kusche J, van Loon J (2004) Statistical assessment of Champ data and models using the energy balance approach. This volume.
Kusche J (2002) Inverse Probleme bei der Gravitationsfeldbestimmung mittels SST-und SGG-Satellitenmissionen. DGK Series C, No. 548, Munich.
Reuter R (1982) Über Integralformeln der Einheitssphäre und harmonische Splinefunktionen. Veröff Geod Inst RWTH Aachen, No. 33.
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© 2005 Springer-Verlag Berlin Heidelberg
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Fengler, M.J., Freeden, W., Kusche, J. (2005). Multiscale Geopotential Solutions from CHAMP Orbits and Accelerometry. In: Reigber, C., Lühr, H., Schwintzer, P., Wickert, J. (eds) Earth Observation with CHAMP. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-26800-6_22
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DOI: https://doi.org/10.1007/3-540-26800-6_22
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-22804-2
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