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)


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.


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



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


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Copyright information

© Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  1. 1.University of West BohemiaPilsenCzech Republic

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