Gravity field models from kinematic orbits of CHAMP,GRACE and GOCE satellites |
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Authors: | Aleš Bezděk Josef Sebera Jaroslav Kloko?ník Jan Kostelecký |
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Institution: | 1. Astronomical Institute, Academy of Sciences of the Czech Republic, Fri?ova 298, 251 65 Ond?ejov, Czech Republic;2. Research Institute of Geodesy, Topography and Cartography, Ústecká 98, 250 66 Zdiby, Czech Republic |
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Abstract: | The aim of our work is to generate Earth’s gravity field models from GPS positions of low Earth orbiters. Our inversion method is based on Newton’s second law, which relates the observed acceleration of the satellite with forces acting on it. The observed acceleration is obtained as numerical second derivative of kinematic positions. Observation equations are formulated using the gradient of the spherical harmonic expansion of the geopotential. Other forces are either modelled (lunisolar perturbations, tides) or provided by onboard measurements (nongravitational perturbations). From this linear regression model the geopotential harmonic coefficients are obtained. |
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Keywords: | Gravity field models Kinematic orbits Generalized least squares Partial autocorrelation function Time-variable gravity |
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