caa a22 4500 475737415 CHVBK 20180406123450.0 cr unu---uuuuu 170329e20000501xx s 000 0 eng 10.1007/s001900050290 doi (NATIONALLICENCE)springer-10.1007/s001900050290 Lehmann R. Institute of Mine Surveying and Geodesy, Technical University of Freiberg, D-09596 Freiberg, Germany e-mail: rlehmann@mabb.tu-freiberg.de; Tel.: +49 3731 393591; Fax: +49 3731 393601, DE aut Altimetry-gravimetry problems with free vertical datum [Elektronische Daten] [R. Lehmann] Abstract.:  The definition and connection of vertical datums in geodetic height networks is a fundamental problem in geodesy. Today, the standard approach to solve it is based on the joint processing of terrestrial and satellite geodetic data. It is generalized to cases where the coverage with terrestrial data may change from region to region, typically across coastlines. The principal difficulty is that such problems, so-called altimetry-gravimetry boundary-value problems (AGPs), do not admit analytical solutions such as Stokes' integral. A numerical solution strategy for the free-datum problem is presented. Analysis of AGPs in spherical and constant radius approximation shows that two of them are mathematically well-posed problems, while the classical AGP-I may be ill posed in special situations. Springer-Verlag Berlin Heidelberg, 2000 Key words: Vertical datum - Geodetic boundary-value problems - Altimetry-gravimetry problems nationallicence https://doi.org/10.1007/s001900050290 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s001900050290 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Lehmann R. Institute of Mine Surveying and Geodesy, Technical University of Freiberg, D-09596 Freiberg, Germany e-mail: rlehmann@mabb.tu-freiberg.de; Tel.: +49 3731 393591; Fax: +49 3731 393601, DE aut Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer