Advertisement

On Combination of Heterogeneous Gravitational Observables for Earth’s Gravity Field Modelling

  • Pavel Novák
Conference paper
Part of the International Association of Geodesy Symposia book series (IAG SYMPOSIA, volume 137)

Abstract

The Earth’s gravitational field is described in geodesy by the geopotential, a scalar function of position and time. Although it is not directly observable, its functionals such as first- and second-order directional derivatives can be measured by ground, airborne or spaceborne sensors. In geodesy, these observables are usually used for recovery of the geopotential at some known simple reference surface. Since no observation technique providing gravitational data is fully ideal, ground, airborne and spaceborne data collected with different accuracies, spectral contents, temporal and spatial distributions must be combined. An observation model for recovery of the geopotential is based on the Abel–Poisson equation modified to various gravitational observables. Integral kernels weight spatially contributions of particular observables as functions of their position. Models for different observables are combined exploring stochastic and design characteristics of actual observations.

Keywords

Geopotential Gravity Data combination Abel–Poisson integral Earth’s gravitational field 

Notes

Acknowledgements

The study was supported by the Czech Science Foundation (project 205/08/1103) and the Czech Ministry of Education, Youth and Sports (project MSM4977751301).

References

  1. Drinkwater MR, Floberghagen R, Haagmans R, Muzi D, Popescu A (2003) GOCE: ESA’s first Earth Explorer Core mission. Space Sci Series ISSI 18:419–432Google Scholar
  2. Forsberg R, Olesen A, Bastos L, Gidskehaug A, Meyer U, Timmen L (2000) Airborne geoid determination. Earth Planets Space 52:863866Google Scholar
  3. Kellogg OD (1929) Foundations of potential theory. Springer, BerlinGoogle Scholar
  4. Krantz SG (1999) Handbook of complex variables. Birkhäuser, BostonCrossRefGoogle Scholar
  5. MacMillan WD (1958) Theory of the potential. Dover Publications, New YorkGoogle Scholar
  6. Moritz H (1984) Geodetic Reference System 1980. Bull Géod 58:388–398CrossRefGoogle Scholar
  7. Novák P, Grafarend EW (2005) Ellipsoidal representation of the topographical potential and its vertical gradient. J Geodes 78:691–706CrossRefGoogle Scholar
  8. Torge W (2001) Geodesy. De Gruyter, BerlinCrossRefGoogle Scholar
  9. Vaníček P, Krakiwsky EJ (1986) Geodesy: The concepts. North Holland, AmsterdamGoogle Scholar
  10. Wessel P, Smith WHF (1991) Free software helps map and display data. EOS Trans AGU 72:441CrossRefGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  1. 1.University of West BohemiaPilsenCzech Republic

Personalised recommendations