Abstract
The principle and method for solving three types of satellite gravity gradient boundary value problems by least-squares are discussed in detail. Also, kernel function expressions of the least-squares solution of three geodetic boundary value problems with the observations {Г zz}, {Г xz, Г yz} and {Г xx − Г yy, 2Г xy} are presented. From the results of recovering gravity field using simulated gravity gradient tensor data, we can draw a conclusion that satellite gravity gradient integral formulas derived from least-squares are valid and rigorous for recovering the gravity field.
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References
ESA(1999) Gravity field and steady-state ocean circulation mission[C]. C/O ESTEC, Noordwijk
Rummel R (1989) Uniquely and overdetermined geodetic boundary value problems by least squares[J]. Bulletin Geodesique, 63:1–33
Rummel R, van Gelderen M (1992) Spectral analysis of the full gravity tensor[J]. Geophys J Int, 111:159–169
van Gelderen M, Rummel R(2001) The solution of the general geodetic boundary value problem[J]. Journal of Geodesy, 75:1–11
Luo Zhicai (1996) The theory and methodology for determining the Earth’s gravity field using satellite gravity gradiometry data[D]. Wuhan: Wuhan Technical University of Surveying and Mapping (in Chinese)
Li Jiancheng (2005) Integral formulas for computing the disturbing potential, gravity anomaly and the deflection of the vertical from the second-order radial gradient of the disturbing potential[J]. Journal of Geodesy, 79(1–3):64–67
Moritz (1984) Advanced physical geodesy[M]. Beijing: Surveying and Mapping Press (in Chinese)
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Xu, X., Li, J., Zou, X. et al. Solving three types of satellite gravity gradient boundary value problems by least-squares. Geo-spat. Inf. Sc. 10, 168–172 (2007). https://doi.org/10.1007/s11806-007-0073-5
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DOI: https://doi.org/10.1007/s11806-007-0073-5