Abstract
For geophysical/ oceanographic/ hydrological applications of dedicated gravity field missions regional gravity field solutions are of higher interest than the usual global solutions. In order to derive regional solutions, so-called in-situ observations like line-of-sight accelerations or satellite gradiometry data are optimal, since they do not change, if the potential outside a infinitesimal neighborhood of the observation point changes. Therefore, in-situ observations do not introduce influences from outside the region under consideration. The localization on the observation-side has to be balaced by a localization on the model-side.
The usual spherical harmonics representation is not appropriate for the desired regional solution, because spherical harmonics have a global support. In order to model local phenomena by base functions with a global support, the superposition of a large number of those global base functions is necessary.
For this reason the paper aims at an establishment of a direct relationship between several types of in-situ observations and the unknown coefficients of a localizing basis functions representation of the regional gravity field.
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Keller, W. (2008). A Localizing Basis Functions Representation for Low–Low Mode SST and Gravity Gradients Observations. In: Xu, P., Liu, J., Dermanis, A. (eds) VI Hotine-Marussi Symposium on Theoretical and Computational Geodesy. International Association of Geodesy Symposia, vol 132. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-74584-6_2
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DOI: https://doi.org/10.1007/978-3-540-74584-6_2
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