A comparison of the tesseroid, prism and point-mass approaches for mass reductions in gravity field modelling

B Heck, K Seitz - Journal of Geodesy, 2007 - Springer
The calculation of topographic (and iso-static) reductions is one of the most time-consuming
operations in gravity field modelling. For this calculation, the topographic surface of the Earth …

Optimized formulas for the gravitational field of a tesseroid

T Grombein, K Seitz, B Heck - Journal of Geodesy, 2013 - Springer
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 …

Gravity field modeling using tesseroids with variable density in the vertical direction

M Lin, H Denker, J Müller - Surveys in Geophysics, 2020 - Springer
We present an accurate method for the calculation of gravitational potential (GP), vector
(GV), and gradient tensor (GGT) of a tesseroid, considering a density model in the form of a …

Residual terrain modelling: the harmonic correction for geoid heights

M Yang, C Hirt, B Wu, XL Deng, D Tsoulis, W Feng… - Surveys in …, 2022 - Springer
The harmonic correction (HC) is one of the key quantities when using residual terrain
modelling (RTM) for high-frequency gravity field modelling. In the RTM technique, high …

A comparison of different mass elements for use in gravity gradiometry

F Wild-Pfeiffer - Journal of Geodesy, 2008 - Springer
Topographic and isostatic mass anomalies affect the external gravity field of the Earth.
Therefore, these effects also exist in the gravity gradients observed, eg, by the satellite …

Analytical computation of the full gravity tensor of a homogeneous arbitrarily shaped polyhedral source using line integrals

D Tsoulis - Geophysics, 2012 - library.seg.org
The analytical computation of the full gravity tensor from a polyhedral source of
homogeneous density is presented, with emphasis on its algorithmic implementation. The …

On the singularities of the gravity field of a homogeneous polyhedral body

D Tsoulis, S Petrović - Geophysics, 2001 - library.seg.org
The study of the gravity field of arbitrary polyhedral bodies of homogeneous density has
provoked a series of publications over the last decades. Some of the researchers …

Prediction of vertical deflections from high-degree spherical harmonic synthesis and residual terrain model data

C Hirt - Journal of Geodesy, 2010 - Springer
This study demonstrates that in mountainous areas the use of residual terrain model (RTM)
data significantly improves the accuracy of vertical deflections obtained from high-degree …

Assessment of EGM2008 in Europe using accurate astrogeodetic vertical deflections and omission error estimates from SRTM/DTM2006. 0 residual terrain model data

C Hirt, U Marti, B Bürki… - Journal of geophysical …, 2010 - Wiley Online Library
We assess the new EGM2008 Earth gravitational model using a set of 1056 astrogeodetic
vertical deflections over parts of continental Europe. Our astrogeodetic vertical deflection …

Astronomical-topographic levelling using high-precision astrogeodetic vertical deflections and digital terrain model data

C Hirt, J Flury - Journal of Geodesy, 2008 - Springer
At the beginning of the twenty-first century, a technological change took place in geodetic
astronomy by the development of Digital Zenith Camera Systems (DZCS). Such instruments …