11 Result(s)
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Article
Open AccessUltra-high degree spherical harmonic analysis and synthesis using extended-range arithmetic
We present software for spherical harmonic analysis (SHA) and spherical harmonic synthesis (SHS), which can be used for essentially arbitrary degrees and all co-latitudes in the interval (0°, 180°). The routin...
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Chapter and Conference Paper
Evaluating the Brazilian Vertical Datum Through Improved Coastal Satellite Altimetry Data
The integration of the Brazilian Fundamental Vertical Network (BFVN) with satellite altimetry data and multiple tide gauges (TG) is one way for an independent validation of the Brazilian Vertical System. Satel...
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Chapter
Challenges and First Results Towards the Realization of a Consistent Height System in Brazil
Few benchmarks of the Brazilian Fundamental Vertical Network (BFVN) have measured gravity values. While its leveling lines have been established since 1945 with approximately the same technical specifications,...
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Article
Optimized formulas for the gravitational field of a tesseroid
Various tasks in geodesy, geophysics, and related geosciences require precise information on the impact of mass distributions on gravity field-related quantities, such as the gravitational potential and its pa...
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Article
A Wavelet-Based Assessment of Topographic-Isostatic Reductions for GOCE Gravity Gradients
Gravity gradient measurements from ESA’s satellite mission Gravity field and steady-state Ocean Circulation Explorer (GOCE) contain significant high- and mid-frequency signal components, which are primarily ca...
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Article
Vertical displacement rates in the Upper Rhine Graben area derived from precise leveling
The recent vertical displacement field of the Upper Rhine Graben (URG) located in the tri-national region between Germany, France and Switzerland is investigated using repeatedly measured leveling data. We est...
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Article
Open AccessCorrections to “A comparison of the tesseroid, prism and point-mass approaches for mass reductions in gravity field modelling” (Heck and Seitz, 2007) and “Optimized formulas for the gravitational field of a tesseroid” (Grombein et al., 2013)
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Article
The Rock–Water–Ice Topographic Gravity Field Model RWI_TOPO_2015 and Its Comparison to a Conventional Rock-Equivalent Version
RWI_TOPO_2015 is a new high-resolution spherical harmonic representation of the Earth’s topographic gravitational potential that is based on a refined Rock–Water–Ice (RWI) approach. This method is characterize...
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Article
On High-Frequency Topography-Implied Gravity Signals for a Height System Unification Using GOCE-Based Global Geopotential Models
National height reference systems have conventionally been linked to the local mean sea level, observed at individual tide gauges. Due to variations in the sea surface topography, the reference levels of these...
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Article
Effect of great lakes on gravity reduction and geoid determination caused by unclassified DTMs: case study for Lake Victoria, Africa
The determination of the gravimetric geoid is based on the magnitude of gravity observed at the topographic surface of the Earth. In order to satisfy Laplace’s equation, the masses between the surface of the E...
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Article
Open AccessExternal gravitational field of a homogeneous ellipsoidal shell: a reference for testing gravity modelling software
There are numerous applications in geodesy and other geo-sciences in which the gravitational potential effect or other functions of the potential are computed by forward modelling from a given mass distributio...
