19 Result(s)
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Article
Bernhard Heck
English
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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...
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Assessment of point-mass solutions for recovering water mass variations from satellite gravimetry
Previous studies have shown the feasibility of point-mass modellings for deriving terrestrial water storage (TWS) from the harmonic solutions of the Gravity Recovery And Climate Experiment (GRACE) mission at r...
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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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The New AFRGDB_V2.2 Gravity Database for Africa
The primary task of the IAG Sub-Commission on Gravity and Geoid in Africa is the development of the vertical reference surface (the geoid) for the entire African continent. For the practical solution of this b...
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Comparison of two different approaches for computing the gravitational effect of a tesseroid
Forward modelling in the space domain is a very important task in geodesy and other geosciences. From topographical or isostatic information in the form of digital terrain model (DTM) and density model, the ef...
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Estimating and assessing Galileo satellite fractional cycle bias for PPP ambiguity resolution
Due to the rapid deployment of the Galileo constellation, Galileo is now able to contribute to GNSS precise point positioning (PPP) ambiguity resolution (AR) with 17 operational satellites as of December 2017....
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Estimating satellite phase fractional cycle biases based on Kalman filter
Phase fractional cycle biases (FCBs) originating from satellites and receivers destroy the integer nature of PPP carrier phase ambiguities. To achieve integer ambiguity resolution of PPP, FCBs of satellites ar...
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Improved time-differenced cycle slip detect and repair for GNSS undifferenced observations
GNSS undifferenced signal processing, in which the individual signal of each frequency is treated as independent observable, has drawn increasing interest in GNSS community. However, undifferenced signal proce...
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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
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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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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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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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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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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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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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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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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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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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...
