The effect of topographic and atmospheric masses on inversion of a satellite third-order gravitational tensor onto gravity anomalies
PITOŇÁK, M., ŠPRLÁK, M., HAMÁČKOVÁ, E., NOVÁK, P. The effect of topographic and atmospheric masses on inversion of a satellite third-order gravitational tensor onto gravity anomalies. Praha, 2015.
|Anglický název:||The effect of topographic and atmospheric masses on inversion of a satellite third-order gravitational tensor onto gravity anomalies|
|Autoři:||Ing. Martin Pitoňák Ph.D. , Ing. Michal Šprlák Ph.D. , Ing. Eliška Hamáčková , Prof. Ing. Pavel Novák Ph.D. ,|
|Abstrakt EN:||Gravitational effects of topographic and atmospheric masses play an important role in precise downward continuation of satellite gravity data. In this contribution we study the effect of topographic and atmospheric masses on recovery of regional ground gravity anomalies from a satellite third-order gravitational tensor (assumed to be observable in the future). Firstly, we calculate the atmospheric and topographic gravitational effects on the third-order gravitational tensor simulated along a satellite orbit at 250 km elevation above Europe. These effects are applied in the traditional remove-compute-restore scheme. Secondly, new integral formulas for transformation of ground gravity anomalies onto the satellite third-order gravitational tensor defined in the local north-oriented frame are decomposed in the spatial domain into the near and distant zones. The effect of gravity data in the distant zones is synthesized from a global geopotential model with spectral weights given by truncation error coefficients. In numerical experiments, we assess the numerical accuracy of associated inverse problems in closed-loop simulations. Thirdly, we evaluate numerical properties of closed and spectral (band-limited) forms of respective integral kernels, and possible improvements of the inverse problems when combining various components of third-order gravitational tensor with and without topographic and atmospheric gravitational effects are presented. Finally, we combine the third-order gravitational tensor components contaminated with the white noise with atmospheric and topographic gravitational effects computed from available spherical harmonic models of isostatically-compensated topography and standard atmosphere.|