[HTML][HTML] A high-resolution Earth's gravity field model SGG-UGM-2 from GOCE, GRACE, satellite altimetry, and EGM2008

W Liang, J Li, X Xu, S Zhang, Y Zhao - Engineering, 2020 - Elsevier
This paper focuses on estimating a new high-resolution Earth's gravity field model named
SGG-UGM-2 from satellite gravimetry, satellite altimetry, and Earth Gravitational Model 2008 …

Ellipsoidal topographic potential: new solutions for spectral forward gravity modeling of topography with respect to a reference ellipsoid

SJ Claessens, C Hirt - Journal of Geophysical Research: Solid …, 2013 - Wiley Online Library
Forward gravity modeling in the spectral domain traditionally relies on spherical
approximation. However, this level of approximation is insufficient for some present day high …

Forward gravity modelling to augment high-resolution combined gravity field models

ES Ince, O Abrykosov, C Förste, F Flechtner - Surveys in Geophysics, 2020 - Springer
During the last few years, the determination of high-resolution global gravity field has gained
momentum due to high-accuracy satellite-derived observations and development of forward …

Ellipsoidal correction in GRACE surface mass change estimation

J Li, J Chen, Z Li, SY Wang, X Hu - Journal of Geophysical …, 2017 - Wiley Online Library
The Earth's shape is much closer to an ellipsoid than a sphere. The commonly used
spherical approximation in mass change inversion is expected to cause bias by the …

Recursive computation of oblate spheroidal harmonics of the second kind and their first-, second-, and third-order derivatives

T Fukushima - Journal of Geodesy, 2013 - Springer
A recursive method is developed to compute the ratios of the oblate spheroidal harmonics of
the second kind and their first-, second-, and third-order derivatives. The recurrence …

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 …

Non-singular Calculation of Global Magnetic Gradient Tensor Based on Oblate Spheroidal Harmonics Representation

H Wang, W Cao, Y Ji, J Zhao - IEEE Transactions on …, 2024 - ieeexplore.ieee.org
A high-resolution global magnetic gradient tensor (MGT) model is an essential tool for aided
navigation. However, the high-order expansion using the traditional spherical harmonic (SH) …

Orthogonality of harmonic potentials and fields in spheroidal and ellipsoidal coordinates: application to geomagnetism and geodesy

FJ Lowes, DE Winch - Geophysical Journal International, 2012 - academic.oup.com
We investigate the orthogonality of the potential distributions that are the basis solutions of
Laplace's equation appropriate to 3-D ellipsoidal (including spheroidal) coordinate systems …

On orthogonal monogenics in oblate spheroidal domains and recurrence formulae

HM Nguyen, K Gürlebeck, J Morais… - Integral Transforms and …, 2014 - Taylor & Francis
A complete orthogonal system for the monogenic L 2-space consisting of solid oblate
spheroidal monogenics in 3 is constructed by means of harmonic functions. The lack of …

第二类勒让德函数的重规格化及其优化

张捍卫, 杨永勤, 李晓玲, 张华 - 测绘学报, 2024 - xb.chinasmp.com
椭球谐函数级数展开是地球重力场椭球谐建模的基础. 然而, 处理椭球谐函数级数的主要困难
在于计算第二类勒让德函数. 而Jekeli 的重规格化方法简化了这一计算过程. 本文在Jekeli …