Geodesy and Geophysics in Slovakia 2007 - 2010 Slovak National Report to IUGG th 25 General Assembly of IUGG Melbourne, Australia, June 27 – July 8, 2011 Slovak National Committee for the International Union of Geodesy and Geophysics 2011 Contributions to Geophysics and Geodesy Vol. 41/Special issue, 2011 (3–16) Study of the gravity field of the Earth in Slovakia Ladislav BRIMICH1 1 Geophysical Institute of the Slovak Academy of Sciences, Dúbravská cesta 9, 845 28 Bratislava, Slovak Republic; e-mail:
[email protected] Abstract: In this contribution the investigations of the gravity field in the territory of the Slovak Republic the period 2007–2011 are presented. Key words: geodynamics, gravity field, gravimetry, Earth’s rotation, GPS (Global Position- ing System) 1. Geodesy Utilization of GOCE data to regional geodetic applications A downward continuation of vertical component of gravitation tensor based on Poisson integral formula was studied in Janák et al. (2007). However, this problem has not been studied further and our attention has been dedicated to different type of integral transformation mentioned below. The integral transformation between the components of disturbing gravity tensor and the free-air gravity anomaly was developed in spherical coordinates, based on the Pizzetti formula, and properties of particular integration kernels were described in Janák et al. (2009a,b). The integral transformation was discretized and used to solve an inverse problem, i.e. a downward continuation and a transformation of disturbing gravity tensor to gravity anomalies in one step. A numerical simulation of this inverse problem was performed using the simulated data based on the global gravity model EGM08.