Space-Wise, Time-Wise, Torus and Rosborough Representations in Gravity Field Modelling
The decade of the geopotentials started July 2000 with the launch of the German high-low sst mission champ, Together with the joint nasa-dlr low-low sst mission grace and the esa gradiometry mission goce an unprecedented wealth of geopotential data becomes available over the next few years.
Due to the sheer number of unknown gravity field parameters (up to 100000) and of observations (millions), especially the latter two missions are highly demanding in terms of computational requirements. In this paper several modelling strategies are presented that are based on a semi-analytical approach. In this approach the set of normal equations becomes block-diagonal with maximum block-sizes smaller than the spherical harmonic degree of resolution. The block-diagonality leads to a rapid and powerful gravity field analysis tool.
Beyond the more-or-less conventional space-wise and time-wise formulations, the torus approach and Rosborough’s representation are discussed. A trade-off between pros and cons of each of the modelling strategies will be given.
KeywordsGravity field representations space-wise time-wise Kaula torus approach Rosborough CHAMP GRACE GOCE
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