Satellite Gradiometry — A New Approach
The determination of the gravitational field of the earth by satellite gradiometry has been investigated in many publications (cf. e.g. (Rummel, 1986; Rummel et al., 1993) and the literature cited therein). These contributions mostly deal with the gravitational field as finite series in terms of spherical harmonics and assume that the data are given in discrete points. In this paper, we study two different aspects of satellite gradiometry. At first, we consider the data to be given as continuous function on a surface in the harmonicity domain of the potential. This enables us to classify which types of data guarantee the uniqueness of the solution. Needless to say that those investigations turn also out to be of importance for the discrete problem. Then we propose a method for the determination of the gravitational field by use of locally supported trial functions in satellite gradiometry. We expect that such methods will significantly improve the knowledge of the microstructure of the earth’s gravitational field in the future.
KeywordsVector Field Gravitational Field Spline Interpolation Trial Function Tensor Field
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