Efficient modeling of gravity fields caused by sources with arbitrary geometry and arbitrary density distribution
L Wu - Surveys in Geophysics, 2018 - Springer
We present a brief review of gravity forward algorithms in Cartesian coordinate system,
including both space-domain and Fourier-domain approaches, after which we introduce a …
including both space-domain and Fourier-domain approaches, after which we introduce a …
Ultra-high-degree surface spherical harmonic analysis using the Gauss–Legendre and the Driscoll/Healy quadrature theorem and application to planetary topography …
M Rexer, C Hirt - Surveys in Geophysics, 2015 - Springer
In geodesy and geophysics, spherical harmonic techniques are popular for modelling
topography and potential fields with ever-increasing spatial resolution. For ultra-high-degree …
topography and potential fields with ever-increasing spatial resolution. For ultra-high-degree …
High-resolution regional gravity field modelling in a mountainous area from terrestrial gravity data
B Bucha, J Janák, J Papčo… - … Supplements to the …, 2016 - academic.oup.com
We develop a high-resolution regional gravity field model by a combination of spherical
harmonics, band-limited spherical radial basis functions (SRBFs) and the residual terrain …
harmonics, band-limited spherical radial basis functions (SRBFs) and the residual terrain …
Efficient and accurate high-degree spherical harmonic synthesis of gravity field functionals at the Earth's surface using the gradient approach
C Hirt - Journal of Geodesy, 2012 - Springer
Spherical harmonic synthesis (SHS) of gravity field functionals at the Earth's surface requires
the use of heights. The present study investigates the gradient approach as an efficient yet …
the use of heights. The present study investigates the gradient approach as an efficient yet …
A MATLAB-based graphical user interface program for computing functionals of the geopotential up to ultra-high degrees and orders: Efficient computation at irregular …
B Bucha, J Janák - Computers & Geosciences, 2014 - Elsevier
Fast spherical harmonic synthesis (SHS) at multiple points based on the lumped coefficients
approach is a very well-established technique. However, this method cannot be applied to …
approach is a very well-established technique. However, this method cannot be applied to …
An efficient algorithm for gravity forward modelling (GFM) with masses of arbitrary shapes and density distributions
W Chen, X Tan - Geophysical Journal International, 2024 - academic.oup.com
Currently, gravimetric forward modelling of mass density structures with arbitrary geometries
and density distributions typically involves subdividing the mass body into individual …
and density distributions typically involves subdividing the mass body into individual …
Gravitational field modelling near irregularly shaped bodies using spherical harmonics: a case study for the asteroid (101955) Bennu
B Bucha, F Sanso - Journal of Geodesy, 2021 - Springer
We apply three spherical-harmonic-based techniques to deliver external gravitational field
models of the asteroid (101955) Bennu within its circumscribing sphere. This region is …
models of the asteroid (101955) Bennu within its circumscribing sphere. This region is …
Numerical computation of spherical harmonics of arbitrary degree and order by extending exponent of floating point numbers: III integral
T Fukushima - Computers & Geosciences, 2014 - Elsevier
The integrals of fully normalized associated Legendre function (fnALF) of extremely high
degree and order such as 2 23= 8 388 608 can be obtained without underflow problems if …
degree and order such as 2 23= 8 388 608 can be obtained without underflow problems if …
[HTML][HTML] 卫星重力梯度恢复地球重力场的频谱分析
蔡林， 周泽兵， 祝竺， 高防， 许厚泽 - 地球物理学报, 2012 - html.rhhz.net
根据仪器功率谱密度和重力位系数阶方差的定义, 本文建立了卫星重力梯度测量噪声功率谱密度
与重力场模型的误差阶方差的直接对应关系, 并基于此讨论了重力梯度测量精度 …
与重力场模型的误差阶方差的直接对应关系, 并基于此讨论了重力梯度测量精度 …
Numerical experiments on column-wise recurrence formula to compute fully normalized associated Legendre functions of ultra-high degree and order
Z Xing, S Li, M Tian, D Fan, C Zhang - Journal of Geodesy, 2020 - Springer
When using column-wise recurrence formulae to compute modified normalized Legendre
functions up to approximate degree and order 3200 in the IEEE double precision …
functions up to approximate degree and order 3200 in the IEEE double precision …