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A Study on Two-boundary Problems in Airborne Gravimetry and Satellite Gradiometry

  • P. Holota
  • M. Kern
Conference paper
Part of the International Association of Geodesy Symposia book series (IAG SYMPOSIA, volume 129)

Abstract

Current gravity data, which are used for refined studies of the Earth’s gravity field, result from cutting-edge technologies and advanced measuring techniques. They often refer to some exceptional surfaces or manifolds and can lead to interesting mathematical problems. In this paper, three cases are considered where airborne gravimetry is combined with terrestrial gravity data, airborne measurements are collected at two flight levels, and satellite gradiometry is combined with terrestrial gravity data. The three cases are studied mathematically and the disturbing potential is expressed explicitly. The spectral representation based on spherical harmonics is used. Subsequently, an optimum procedure is discussed in order to treat the overdetermined problems and to keep the typical regularity of harmonic functions at infinity. Some practical aspects are also mentioned.

Keywords

Earth’s gravity field geodetic boundary-value problems overdetermined problems optimization 

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Copyright information

© Springer-Verlag Berlin Heidelberg 2005

Authors and Affiliations

  • P. Holota
    • 1
  • M. Kern
    • 2
  1. 1.Topography and CartographyResearch Institute of GeodesyZdiby 98, Praha-vychodCzech Republic
  2. 2.Institute of Navigation and Satellite GeodesyGraz University of TechnologyGrazAustria

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