Abstract
In the near future a big step has again to be expected in satellite geodesy. Extremely precise measuring systems (accelerometer, low-low SST (relative accuracy 10-11), gradiometer) in satellites orbiting as low as possible will allow not only the determination of the global gravity field in form of harmonic coefficients up to a limit somewhere below n = m = 180, but even the tracking of the extremely small signals in the gravity field due to mass redistributions in atmosphere, oceans and solid Earth down to the inner core.
“The purpose of computation is insight, not numbers” (Hamming).
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References
Arfa-Karboodvand, K. (1997) Zur präzisen Berechnung der Oberflächenkräfte eines erdgebundenen Satelliten auf Basis der Hill-Variablen. DGK, Reihe C, Nr.476.
Beutler, G. (1996) GPS Satellite Orbits, in GPS for Geodesy, edited by Kleusberg, A and Teunissen, P.J.G., Springer, Berlin, Heidelberg, New York.
Cui, Ch. (1997) Satellite Orbit Integration based on Canonical Transformations with Special Regard to the Resonance and Coupling Effects. DGK, Reihe A, Nr.112.
Cui, Ch. & Mareyen, M. (1992) Gauss’s equations of motion in terms of Hill variables and first application to numerical integration of satellite orbits. manuscripta geodaetica, 17, 155–163
Cui, Ch., Lelgemann, D. (1995) Analytical dynamic orbit improvement for the evaluation of geodetic-geophysic satellite data. Journal of Geodesy, 70: 83–97.
Cui, Ch. (1999) Satellite Orbital Theory: Strategy to Derive a Third Order Analytical Solution Using Lie-Series. In: M. Orhan Altan and Lothar Gründig (Eds.): Proc. of the Third Turkish-German Joint Geodetic Days. Towards a Digital Age. Istanbul/Turkey, June 1–4, 1999. pp. 699–709
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Lelgemann, D., Cui, C. (2003). Analytical Versus Numerical Integration in Satellite Geodesy. In: Grafarend, E.W., Krumm, F.W., Schwarze, V.S. (eds) Geodesy-The Challenge of the 3rd Millennium. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-05296-9_9
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DOI: https://doi.org/10.1007/978-3-662-05296-9_9
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