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 …

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 …

First-order derivatives of principal and main invariants of gravity gradient tensor of the tesseroid and spherical shell

XL Deng, WB Shen, M Yang, J Ran - Journal of Geodesy, 2021 - Springer
The invariants of gravity (or gravitational) gradient tensor can be applied as the additional
internal parameters for the gravity gradient tensor, which have been widely used in the …

Evaluation of gravitational curvatures for a tesseroid and spherical shell with arbitrary-order polynomial density

XL Deng - Journal of Geodesy, 2023 - Springer
In recent years, there are research trends from constant to variable density and low-order to
high-order gravitational potential gradients in gravity field modeling. Under the research …

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 …

Higher-order gravitational potential gradients by tensor analysis in spherical coordinates

XL Deng, J Ran - Journal of Geodesy, 2021 - Springer
Previous studies mainly focused on second-and third-order gravitational potential gradients
that these values are already measurable or that appropriate measurement principles are …

Estimation of gravitational curvature through a deterministic approach and spectral combination of space-borne second-order gravitational potential derivatives

M Romeshkani, MA Sharifi… - Geophysical Journal …, 2021 - academic.oup.com
Second-and third-order gravitational potential derivatives can be employed for the
determination of the medium-and high-frequency parts of the Earth's gravity field. Due to the …

Estimation of Height Anomalies from Gradients of the Gravitational Potential Using a Spectral Combination Method

M Pitoňák, M Šprlák, P Novák - X Hotine-Marussi Symposium, 2022 - Springer
In this study, we apply a spectral combination method for estimation of height anomalies
from gradients of the gravitational potential measured by satellites. The spectral combination …