Satellite Gradiometry — A New Approach

  • Willi Freeden
  • Michael Schreiner
Conference paper
Part of the International Association of Geodesy Symposia book series (IAG SYMPOSIA, volume 114)

Abstract

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.

Keywords

Triad Dinates Itan 

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Copyright information

© Springer-Verlag Berlin Heidelberg 1995

Authors and Affiliations

  • Willi Freeden
    • 1
  • Michael Schreiner
    • 1
  1. 1.Laboratory of Technomathematics, Geomathematics GroupUniversity of KaiserslauternKaiserslauternGermany

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