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Comments and corrections to: “Ellipsoidal spectral properties of the Earth’s gravitational potential and its first and second derivatives” by Bölling and Grafarend (2005) in J. Geod. 79(6-7):300-330
In this contribution, we comment on and thoroughly identify errors which occur in the research article titled “Ellipsoidal spectral properties of the...
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The gravitational potential and its first- and second-order partial derivatives of an ellipsoidal tesseroid based on the Cartesian integral kernel
Gravity forward modelling is a fundamental problem in the fields of geophysics and geodesy at regional and global scales. Considering the curvature...
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Two-epoch centimeter-level PPP-RTK without external atmospheric corrections using best integer-equivariant estimation
Ambiguity resolution enabled precise point positioning (PPP-AR or PPP-RTK) without atmospheric corrections requires the user to estimate tropospheric...
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Real-time wide-area precise tropospheric corrections (WAPTCs) jointly using GNSS and NWP forecasts for China
Real-time precise tropospheric corrections are essential for global navigation satellite system (GNSS) positioning with centimetre-level precision....
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Moving mountains: reevaluating the elevations of Colorado mountain summits using modern geodetic techniques
One of the most challenging environments for accurate geoid models is in high, rugged mountain areas. Orthometric heights derived from GNSS and a...
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Quantification of corrections for the main lunisolar nutation components and analysis of the free core nutation from VLBI-observed nutation residuals
The attempt to quantify the corrections of lunisolar nutation components was made after analysis of six sets of Earth’s orientation parameters (EOP)....
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Transformation of Gravity Anomalies in Large Territories (the Case of the Kuril Island Arc)
AbstractAn algorithm and a program for transformation of gravity anomalies for large territories are presented. They use a spherical shape of the...
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A triaxial reference ellipsoid for the Earth
We present a new, physically motivated triaxial reference ellipsoid for the Earth. It is an equipotential surface in the gravity field and closely...
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GNSS Gravity Leveling
A new method of GNSS gravity leveling is introduced to determine precisely normal height differences, Both the principle and application of the...
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Ray Tracing Directly in a 3-D Ellipsoidal Earth Model for Multiphase Global Arrivals
Seismic ray-tracing methods are widely used in seismology, with most such algorithms being executed in Cartesian or spherical coordinate systems....
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Triangulation of the Earth’s surface and its application to the geodetic velocity field modelling
The Earth’s crust is exposed by tectonic processes and is not static over time. Modelling of the Earth’s surface velocities is of utmost importance...
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Geoid modeling with least squares modification of Hotine’s integral using gravity disturbances in Turkey
This study aims to investigate the regional gravimetric geoid modeling accuracy performance using least squares modification of Hotine’s integral...
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The RTM harmonic correction revisited
In this paper, we derive improved expressions for the harmonic correction to gravity and, for the first time, expressions for the harmonic correction...
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A practical software package for computing gravimetric geoid by the least squares modification of Hotine’s formula
Today’s geodetic community starts to model an accurate gravimetric geoid within a 5 mm level, which entirely meets the demands of all technical and...
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A gravimetric assessment of the Gotthard Base Tunnel geological model: insights from a novel gravity terrain-adaptation correction and rock physics data
The Gotthard Base Tunnel (GBT) is a 57 km long railway tunnel, constructed in the Central Alps in Switzerland and extending mainly North–South across...
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Geodetic Heights and Holonomity
It is sometimes stated in the geodetic literature that the normal height system, so important in both geodetic theory and practice, is nonholonomic,...
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Exact closed-form expressions for the complete RTM correction
We present exact, closed-form expressions for the complete RTM correction and the harmonic correction to disturbing potential, gravity disturbance,...
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Physical Heights of Inland Lakes
Inland satellite altimetry has gained traction over the past decade and is now routinely used to monitor the water levels of rivers, lakes and...
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Local mitigation of higher-order ionospheric effects in DFMC SBAS and system performance evaluation
Dual-frequency multi-constellation (DFMC) satellite-based augmentation system (SBAS) is a new SBAS standard for aeronautical navigation systems. It...
