39 Result(s)
within
Bernhard Heck
English
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Chapter and Conference Paper
Tidal Corrections in Geodetic Height Determination
Tidal forces produce a wide spectrum of phenomena, from primary luni—solar attractional effects to secondary induced effects like earth and ocean tides, and third order ocean loading effects. Since these pheno...
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Chapter and Conference Paper
A Revision of Helmert’s Second Method of Condensation in Geoid and Quasigeoid Determination
The original purpose of Helmert’s methods of condensation was to create a harmonic continuation of the gravity potential of the earth down to the geoid; due to the existence of the topographical masses between...
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Chapter and Conference Paper
A Datum Defect and Spectral Analysis in Regional Cross-Over Adjustments of Satellite Altimeter Data
Radial orbit errors still form a major source of error in the evaluation of satellite altimeter data for the determination of sea surface heights and sea surface topography. While a rather sophisticated model ...
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Chapter and Conference Paper
On the Solution of the Inverse Stokes Problem Including Ellipsoidal Effects
The inverse Stokes problem deals with the determination of gravity anomalies Δg from given disturbing potential T of geoidal height data, which are based on the processing of satellite altimetry data. By introduc...
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Chapter
Integral Equation Methods in Physical Geodesy
Modern procedures for solving geodetic boundary value problems are often based on the integral equation approach, employing representation formulae of different type for the mathematical description of the dis...
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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
A Brovar-type solution of the fixed geodetic boundary-value problem
For more than 150 years gravity anomalies have been used for the determination of geoidal heights, height anomalies and the external gravity field. Due to the fact that precise ellipsoidal heights could not be...
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Article
Verification of ARMA identification for modelling temporal correlations of GNSS observations using the ARMASA toolbox
The classical least-squares (LS) algorithm is widely applied in practice of processing observations from Global Satellite Navigation Systems (GNSS). However, this approach provides reliable estimates of unknow...
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Article
On the probability distribution of GNSS carrier phase observations
When processing observational data from global navigation satellite systems (GNSS), the carrier phase measurements are generally assumed to follow a normal distribution. Although full knowledge of the probabil...
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Chapter
Integration of InSAR and GNSS Observations for the Determination of Atmospheric Water Vapour
High spatially and temporally variable atmospheric water vapour causes an unknown delay in microwave signals transmitted by space-borne sensors. This delay is considered as a major limitation in Interferometri...
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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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Chapter and Conference Paper
Topographic–Isostatic Reduction of GOCE Gravity Gradients
Gravity gradients measured by ESA’s satellite mission GOCE (Gravity field and steady-state Ocean Circulation Explorer) are highly sensitive to mass anomalies and mass transports in the Earth system. The high a...
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Chapter
Incorporating Topographic-Isostatic Information into GOCE Gravity Gradient Processing
Global high-resolution digital terrain models provide precise information on the Earth’s topography, which can be used to determine the high- and mid-frequency constituents of the gravity field (topographic-is...
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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
On the effect of planar approximation in the Geodetic Boundary Value Problem
In the framework of the analytical treatment of the Geodetic Boundary Value Problem (GBVP) various approximations are necessary in order to end up with a solution in a “closed” form. Besides linearization and ...
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Chapter and Conference Paper
Height System Unification Based on the Fixed GBVP Approach
In general, any national or regional height reference system is related to an individual vertical datum, defined by one or several tide gauges. The discrepancies of these local vertical datums cause height dat...
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Chapter and Conference Paper
Tailored Reference Geopotential Model for Africa
In the framework of the African Geoid Project, the currently available gravity data set contains many significant gaps allover the continent. A possible way to fill in these gaps before the geoid computation p...
