Optimized solution and a numerical treatment of two-boundary problems in combining terrestrial and satellite data

Abstract

Gravity field studies today develop under an unprecedented progress in measuring techniques. These advances open problems of theoretical and practical nature. The purpose of this paper is to show a spectral and a space domain interpretation of an optimization concept in combining terrestrial and satellite gravity field data and especially to study the numerical treatment of this concept. Because the problems under study are overdetermined by nature, methods typical for the solution of boundary-value problems are applied together with an optimization approach. In addition to the results reached in the spectral domain the use of series summation techniques is investigated in order to find their interpretation in terms of Green’s functions related to the particular combination scheme. This makes it also possible to show the tie between the global and the local modelling of the gravity field.