Integral transformations of deflections of the vertical onto satellite-to-satellite tracking and gradiometric data |
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| Authors: | Michal Šprlák Pavel Novák |
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| Institution: | 1. New Technologies for the Information Society, Faculty of Applied Sciences, University of West Bohemia, Univerzitní 22, 30614?, Plzeň, Czech Republic
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| Abstract: | With the advent of geodetic satellite missions mapping almost globally the Earth’s gravitational field, new methods and theoretical approaches have been developed and investigated to fully exploit the potential of their new observables. Besides estimating values of numerical coefficients in harmonic series of the gravitational potential, new applications emerged such as data validation and combination. In this contribution, new integral transformations are presented which transform principal components of the terrestrial deflection of the vertical onto disturbing satellite-to-satellite tracking and gradiometric data at altitude. Using spherical approximation, necessary integral kernel functions are derived in both spectral and closed forms. The behaviour of isotropic kernel functions is studied and the new integral transformations are tested in a closed-loop simulation using synthetic terrestrial and satellite data synthesized from a global gravitational model. New integral transformations can be used for data validation and combination purposes. |
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