Gravity anomaly of polyhedral bodies having a polynomial density contrast

MG D'Urso, S Trotta - Surveys in Geophysics, 2017 - Springer
We analytically evaluate the gravity anomaly associated with a polyhedral body having an
arbitrary geometrical shape and a polynomial density contrast in both the horizontal and …

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 …

Topographic gravimetric effects in earth sciences: Review of origin, significance and implications

P Vajda, I Foroughi, P Vaníček, R Kingdon… - Earth-Science …, 2020 - Elsevier
We present a comprehensive view of the origin, significance and implications of topographic
effects in gravimetry. These are gravitational effects of topographic masses that are present …

Definition of functionals of the geopotential and their calculation from spherical harmonic models: theory and formulas used by the calculation service of the …

F Barthelmes - 2009 - gfzpublic.gfz-potsdam.de
The intention of this article is to present the definitions of different functionals of the Earth's
gravity field and possibilities for their approximative calculation from a mathematical …

[PDF][PDF] Definition of functionals of the geopotential and their calculation from spherical harmonic models

F Barthelmes - http://publications. iass-potsdam. de/pubman …, 2013 - icgem.gfz-potsdam.de
The intention of this article is to present the definitions of different functionals of the Earth's
gravity field and possibilities for their approximative calculation from a mathematical …

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 …

A method of estimating the Moho density contrast with a tentative application of EGM08 and CRUST2. 0

LE Sjöberg, M Bagherbandi - Acta Geophysica, 2011 - Springer
Abstract Based on Vening Meinez-Moritz global inverse isostatic problem, the Moho density
contrast is formulated as that of finding a solution of a Fredholm integral equation of the first …

The rigorous determination of orthometric heights

R Tenzer, P Vaníček, M Santos, WE Featherstone… - Journal of …, 2005 - Springer
The main problem of the rigorous definition of the orthometric height is the evaluation of the
mean value of the Earth's gravity acceleration along the plumbline within the topography. To …

The AUSGeoid09 model of the Australian height datum

WE Featherstone, JF Kirby, C Hirt, MS Filmer… - Journal of …, 2011 - Springer
AUSGeoid09 is the new Australia-wide gravimetric quasigeoid model that has been a
posteriori fitted to the Australian Height Datum (AHD) so as to provide a product that is …

Sub-centimetre geoid

I Foroughi, P Vaníček, RW Kingdon, M Goli, M Sheng… - Journal of geodesy, 2019 - Springer
This paper represents a milestone in the UNB effort to formulate an accurate and self-
consistent theory for regional geoid determination. To get the geoid to a sub-centimetre …