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Spherical harmonic coefficients of isotropic polynomial functions with applications to gravity field modeling
Various aspects of gravity field modeling rely upon analytical mathematical functions for calculating spherical harmonic coefficients. Such functions...
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Transformation from a global spherical to an adjusted local rectangular harmonic model
This work presents a technique to transform a global spherical to an adjusted local rectangular harmonic model. First, the mathematical form of a...
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Spherical harmonic synthesis of area-mean potential values on irregular surfaces
We present a method to integrate external solid spherical harmonic expansions at geographical grids residing on undulated surfaces. It can be used to...
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A new spherical harmonic approach to residual terrain modeling: a case study in the central European Alps
For decades, the residual terrain model (RTM) concept (Forsberg and Tscherning in J Geophys Res Solid Earth 86(B9):7843–7854,
https://doi.org/10.1029/JB086iB09p07843... 
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Expressions for the calculation of isotropic Gaussian filter kernels in the spherical harmonic domain
The isotropic Gaussian filter has been used extensively in Gravity Recovery and Climate Experiment (GRACE) temporal gravity field solutions, and is...
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Evaluation Procedures for the Potential Harmonic Coefficients of a Generally Shaped Polyhedron
Two computational strategies for the evaluation of the spherical harmonic coefficients of the gravitational potential due to a generally shaped...
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The employment of quasi-hexagonal grids in spherical harmonic analysis and synthesis for the earth's gravity field
There exist several limitations in the calculation of the earth's gravity field based on the measurement data at the centroids of geographic grid...
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A novel spatial filter to reduce north–south stri** noise in GRACE spherical harmonic coefficients
Prevalent north–south stri** (NSS) noise in the spherical harmonic coefficient products of the satellite missions gravity recovery and climate...
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New algorithms for spherical harmonic analysis of area mean values over blocks delineated by equiangular and Gaussian grids
Spherical harmonic analysis is widely used in all aspects of geoscience. Exact quadrature methods are available for the spherical harmonic analysis...
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On the harmonic correction in the gravity field determination
The “non-harmonicity” problem in residual terrain modelling (RTM) is a challenging issue, causing errors exceeding 200 mGal in the RTM gravity...
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The RTM harmonic correction revisited
In this paper, we derive improved expressions for the harmonic correction to gravity and, for the first time, expressions for the harmonic correction...
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Advances in Atmospheric Radiation: Theories, Models, and Their Applications. Part II: Radiative Transfer Models and Related Applications
The subject of “atmospheric radiation” includes not only fundamental theories on atmospheric gaseous absorption and the scattering and radiative...
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Estimation of GPS-observed ocean tide loading displacements with an improved harmonic analysis in the northwest European shelf
Global Positioning System technique has been widely used to estimate ocean tide loading displacements, but classical harmonic analysis with satellite...
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A numerical study on the integration radius separating convergent and divergent spherical harmonic series of topography-implied gravity
We show that far-zone topography-implied gravitational effects may be accurately computed via external spherical harmonics not only above the limit...
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Double-phase-shift filtering method for harmonic elimination based on AR2U-Net
The double-phase-shift filtering method, which is based on the traditional pure-phase-shift filtering method, is a novel approach to harmonic...
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Evaluation of gravitational curvatures for a tesseroid and spherical shell with arbitrary-order polynomial density
In recent years, there are research trends from constant to variable density and low-order to high-order gravitational potential gradients in gravity...
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Gravitational field modelling near irregularly shaped bodies using spherical harmonics: a case study for the asteroid (101955) Bennu
We apply three spherical-harmonic-based techniques to deliver external gravitational field models of the asteroid (101955) Bennu within its...
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Linking the flow-induced tremor model to the seismological observation: application to the deep harmonic tremor at Hakone volcano, Japan
Decades ago, Julian (J Volcanol Geotherm Res 101:19–26, 1994. https://doi.org/10.1029/93JB03129 ) proposed the lumped parameter model of non-linear...
