The gravity field model IGGT_R1 based on the second invariant of the GOCE gravitational gradient tensor
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Geopotential
Regularization
Geopotential
Legendre function
Gravitational potential
Associated Legendre polynomials
Harmonic
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Geopotential
Spin-weighted spherical harmonics
Solid harmonics
Zonal spherical harmonics
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From precisely reduced Baker-Nunn observations for 12 artificial satellites with inclinations between 28° and 96°, coefficients of zonal spherical harmonics up to the 21st order in the expression of the gravitational potential of the earth are derived.
Geopotential
Solid harmonics
Spin-weighted spherical harmonics
Zonal spherical harmonics
Gravitational potential
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A numerical analysis comparison has been made between derived geoid height from geopotential models and existing regional gravimetric and fitted geoid models. This study is part of an analysis of optimal global geopotential models to determine a seamless precise geoid model. A total of ten (10) recent global geopotential models were combined with satellite-only solutions in this study. Results from the statistical analysis show that EGM2008 and EIGEN-6C provide accurate information on deriving geoid heights for combined solutions, and GOCO01S is useful for satellite-only solutions.
Geopotential
Geopotential height
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Geopotential
Geopotential height
Gravity of Earth
Solid earth
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The geopotential model EGM2008 has been tested in the Southern part of India by fitting gravity data. These data have been collected by the National Geophysical Research Institute of India and have been also used to estimate the geoid in this region. For the comparisons a total of 16013 gravity values have been considered. Previous global geopotential models have been also computed on these gravity points to analyze their performance as related to EGM2008. Furthermore, this new model has been compared with the local geoid estimate that is available in this region. The results prove that, in terms of gravity anomaly, in the Southern India region, EGM2008 is better than any other existing model. As for the geoid undulation, the differences between the local South India geoid and EGM2008 are less than 2 m (in absolute value) and are partially correlated with the topography.
Geopotential
Anomaly (physics)
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Abstract Forward gravity modeling in the spectral domain traditionally relies on spherical approximation. However, this level of approximation is insufficient for some present day high‐accuracy applications. Here we present two solutions that avoid the traditional spherical approximation in spectral forward gravity modeling. The first solution (the extended integration method) applies integration over masses from a reference sphere to the topography and applies a correction for the masses between ellipsoid and sphere. The second solution (the harmonic combination method) computes topographic potential coefficients from a combination of surface spherical harmonic coefficients of topographic heights above the ellipsoid, based on a relation among spherical harmonic functions introduced by Claessens (2005). Using a degree 2160 spherical harmonic model of the topographic masses, both methods are applied to derive the Earth's ellipsoidal topographic potential in spherical harmonics. The harmonic combination method converges fastest and—akin to the EGM2008 geopotential model—generates additional spherical harmonic coefficients in spectral band 2161 to 2190 which are found crucial for accurate evaluation of the ellipsoidal topographic potential at high degrees. Therefore, we recommend use of the harmonic combination method to model ellipticity in spectral‐domain forward modeling. The method yields ellipsoidal topographic potential coefficients which are “compatible” with global Earth geopotential models constructed in ellipsoidal approximation, such as EGM2008. It shows that the spherical approximation significantly underestimates degree correlation coefficients among geopotential and topographic potential. The topographic potential model is, for example, of immediate value for the calculation of Bouguer gravity anomalies in fully ellipsoidal approximation.
Geopotential
Ellipsoid
Spherical cap
Spherical model
Harmonic
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Using satellite altimetry derived mean sea level (MSL), geopotential coefficients in terms of ellipsoidal harmonics from recent satellite gravimetry missions, gravity potential values over a grid consisting of 33,486 points at global sea areas are computed and the mean value of the gravity potential at MSL is calculated as a new geoid’s potential value. In this way we have exactly followed the Gauss-Listing definition of geoid for computation of geoid’s potential value and arrived at the value as the main product of this study. Knowing, (1) coordinates of the grid points over MSL, (2) the geoid’s potential value, and (3) the potential values at the MSL, made it possible to compute the potential difference between MSL and geoid potential value, which was next transformed into height difference via Bruns formula to arrive at Sea Surface Topography (SST) and a global marine geoid as the second and third products of the study.
Geopotential
Gravimetry
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