A computational scheme to model the geoid by the modified Stokes formula without gravity reductions

LE Sjöberg - Journal of geodesy, 2003 - Springer
In a modern application of Stokes' formula for geoid determination, regional terrestrial gravity
is combined with long-wavelength gravity information supplied by an Earth gravity model …

Spatial and spectral representations of the geoid-to-quasigeoid correction

R Tenzer, C Hirt, S Claessens, P Novák - Surveys in geophysics, 2015 - Springer
In geodesy, the geoid and the quasigeoid are used as a reference surface for heights.
Despite some similarities between these two concepts, the differences between the geoid …

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 …

A discussion on the approximations made in the practical implementation of the remove–compute–restore technique in regional geoid modelling

LE Sjöberg - Journal of Geodesy, 2005 - Springer
The remove-compute-restore (RCR) technique is the most well known method for regional
gravimetric geoid determination today. Its basic theory is the first-order approximation of …

Empirical comparison between stochastic and deterministic modifiers over the French Auvergne geoid computation test-bed

R Goyal, J Ågren, WE Featherstone, LE Sjöberg… - Survey …, 2022 - Taylor & Francis
Since 2006, several different groups have computed geoid and/or quasigeoid (quasi/geoid)
models for the Auvergne test area in central France using various approaches. In this …

Topographic effects by the Stokes–Helmert method of geoid and quasi-geoid determinations

LE Sjöberg - Journal of Geodesy, 2000 - Springer
The topographic potential and the direct topographic effect on the geoid are presented as
surface integrals, and the direct gravity effect is derived as a rigorous surface integral on the …

Comparison of different methods for estimating the geoid-to-quasi-geoid separation

I Foroughi, R Tenzer - Geophysical journal international, 2017 - academic.oup.com
In Molodensky's definition of the normal height, the mean normal gravity is computed
explicitly. In definition of the orthometric height, however, the actual mean gravity along the …

The new gravimetric quasigeoid model KTH08 over Sweden

J Ågren, LE Sjöberg, R Kiamehr - 2009 - degruyter.com
The least squares modification of Stokes formula has been developed in a series of papers
published in Journal of Geodesy between 1984 and 2008. It consists of a least squares …

Precise gravimetric geoid model for Iran based on GRACE and SRTM data and the least-squares modification of Stokes' formula: with some geodynamic …

R Kiamehr - 2006 - diva-portal.org
Iran is one of the most complicated areas in the world from the view of rough topography,
tectonic activity, large lateral density and geoidal height variations. The computation of a …

The effect of anomalous global lateral topographic density on the geoid-to-quasigeoid separation

R Tenzer, W Chen, S Rathnayake, M Pitoňák - Journal of Geodesy, 2021 - Springer
The geoid can be computed from the quasigeoid by applying the geoid-to-quasigeoid
separation. The geoid-to-quasigeoid separation is also needed for a vertical datum …