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Tue, 16 Nov 2004 14:25:33 +0100Tue, 16 Nov 2004 14:25:33 +0100Regularized Multiresolution Recovery of the Mass Density Distribution From Satellite Data of the EarthÂ´s Gravitational Field
https://kluedo.ub.uni-kl.de/frontdoor/index/index/docId/1586
The inverse problem of recovering the Earth's density distribution from data of the first or second derivative of the gravitational potential at satellite orbit height is discussed for a ball-shaped Earth. This problem is exponentially ill-posed. In this paper a multiscale regularization technique using scaling functions and wavelets constructed for the corresponding integro-differential equations is introduced and its numerical applications are discussed. In the numerical part the second radial derivative of the gravitational potential at 200 km orbitheight is calculated on a point grid out of the NASA/GSFC/NIMA Earth Geopotential Model (EGM96). Those simulated derived data out of SGG (satellite gravity gradiometry) satellite measurements are taken for convolutions with the introduced scaling functions yielding a multiresolution analysis of harmonic density variations in the Earth's crust. Moreover, the noise sensitivity of the regularization technique is analyzed numerically.Volker Michelreporthttps://kluedo.ub.uni-kl.de/frontdoor/index/index/docId/1586Tue, 16 Nov 2004 14:25:33 +0100