On the use of spherical harmonic series inside the minimum Brillouin sphere: Theoretical review and evaluation by GRAIL and LOLA satellite data

M Šprlák, SC Han - Earth-Science Reviews, 2021 - Elsevier
Spherical harmonic expansions are the most popular parametrisation of the gravitational
potential and its higher-order spatial derivatives in global geodetic, geophysical, and …

Fast computation of terrain-induced gravitational and magnetic effects on arbitrary undulating surfaces

L Wu, L Chen - Surveys in Geophysics, 2023 - Springer
Based on a brief review of forward algorithms for the computation of topographic
gravitational and magnetic effects, including spatial, spectral and hybrid-domain algorithms …

Fourier-domain modeling of gravity effects caused by polyhedral bodies

L Wu - Journal of Geodesy, 2019 - Springer
We present 2D and 3D Fourier-domain modeling of gravity effects, including the gravity
potential and its first-and second-order derivatives, generated by an arbitrary polyhedron …

Modified Parker's method for gravitational forward and inverse modeling using general polyhedral models

L Wu - Journal of Geophysical Research: Solid Earth, 2021 - Wiley Online Library
We propose a new modified Parker's method for efficient gravitational forward modeling and
inversion using general polyhedral models. We have made several important modifications …

Gravity field forward modelling using tesseroids accelerated by Taylor series expansion and symmetry relations

X Zeng, X Wan, M Lin, W Wang - Geophysical Journal …, 2022 - academic.oup.com
In this study, we developed a new method that can significantly accelerate the forward
modelling of gravity fields generated by large-scale tesseroids while keeping the …

Spheroidal forward modelling of the gravitational fields of 1 Ceres and the Moon

M Šprlák, SC Han, WE Featherstone - Icarus, 2020 - Elsevier
A novel, explicit, and efficient forward modelling of the spheroidal harmonic spectra of
external planetary gravitational fields is developed in this article. We introduce the oblate …

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 …

Crustal density and global gravitational field estimation of the Moon from GRAIL and LOLA satellite data

M Šprlák, SC Han, WE Featherstone - Planetary and Space Science, 2020 - Elsevier
We employ Newton's integral in the spectral domain to solve two geodetic/geophysical tasks
for the Moon. Firstly, we determine 3D bulk density distribution within the lunar crust (inverse …

Efficient Solutions for Forward Modeling of the Earth's Topographic Potential in Spheroidal Harmonics

C Liu, Z Wang, F Li, Y Gao, Y Xiao - Surveys in Geophysics, 2024 - Springer
Gravity forward modeling provides important high-resolution information for the development
of global gravity models, and can also be applied in many studies, eg, topographic/isostatic …

[HTML][HTML] High-Efficiency Forward Modeling of Gravitational Fields in Spherical Harmonic Domain with Application to Lunar Topography Correction

G Zhao, S Liang - Remote Sensing, 2024 - mdpi.com
Gravity forward modeling as a basic tool has been widely used for topography correction
and 3D density inversion. The source region is usually discretized into tesseroids (ie …