On determination of the geoid from measured gradients of the Earth's gravity field potential

P Novák, M Šprlák, M Pitoňák - Earth-Science Reviews, 2021 - Elsevier
The geoid is an equipotential surface of the static Earth's gravity field which plays a
fundamental role in definition of physical heights related to the mean sea level (orthometric …

New spectro-spatial downscaling approach for terrestrial and groundwater storage variations estimated by GRACE models

F Fatolazadeh, M Eshagh, K Goïta - Journal of Hydrology, 2022 - Elsevier
The study proposes a new mathematical method, referred to as spectral combination, to
downscale Gravity Recovery And Climate Experiment (GRACE) observations. The goal is to …

Validation of space-wise GOCE gravitational gradient grids using the spectral combination method and GNSS/levelling data

M Pitoňák, M Šprlák, V Ophaug, OCD Omang… - Surveys in …, 2023 - Springer
The launch of gravity-dedicated satellite missions at the beginning of the new millennium led
to an accuracy improvement of global Earth gravity field models (GGMs). One of these …

A practical software package for computing gravimetric geoid by the least squares modification of Hotine's formula

RA Abbak, A Ellmann, A Ustun - Earth science informatics, 2022 - Springer
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 geoscientific studies. In this …

Impact of Uncertainty Estimation of Hydrological Models on Spectral Downscaling of GRACE-Based Terrestrial and Groundwater Storage Variation Estimations

M Eshagh, F Fatolazadeh, K Goïta - Remote Sensing, 2023 - mdpi.com
Accurately estimating hydrological parameters is crucial for comprehending global water
resources and climate dynamics. This study addresses the challenge of quantifying …

Downward continuation of gravitational field quantities to an irregular surface by spectral weighting

M Pitoňák, P Novák, M Eshagh, R Tenzer, M Šprlák - Journal of Geodesy, 2020 - Springer
In geophysical and geodetic studies, gravity inversion is typically performed such that
observed gravity values are first continued downward onto a regular (planar, spherical or …

Spectral combination of spherical gravitational curvature boundary-value problems

M Pitoňák, M Eshagh, M Šprlák… - Geophysical Journal …, 2018 - academic.oup.com
Four solutions of the spherical gravitational curvature boundary-value problems can be
exploited for the determination of the Earth's gravitational potential. In this paper we discuss …

Determination of the regularization parameter to combine heterogeneous observations in regional gravity field modeling

Q Liu, M Schmidt, R Pail, M Willberg - Remote Sensing, 2020 - mdpi.com
Various types of heterogeneous observations can be combined within a parameter
estimation process using spherical radial basis functions (SRBFs) for regional gravity field …

From satellite gradiometry data to subcrustal stress due to mantle convection

M Eshagh - Pure and Applied Geophysics, 2014 - Springer
Subcrustal stress induced by mantle convection can be determined by the Earth's
gravitational potential. In this study, the spherical harmonic expansion of the simplified …

Spectral combination of spherical gradiometric boundary-value problems: a theoretical study

M Eshagh - Pure and applied geophysics, 2012 - Springer
The Earth's gravity potential can be determined from its second-order partial derivatives
using the spherical gradiometric boundary-value problems which have three integral …