Non-convergence of the spherical harmonic expansion of gravitational potential below the Brillouin sphere: The continuous case

C. Ogle; O. Costin; M. Bevis

doi:10.1063/5.0044930

Non-convergence of the spherical harmonic expansion of gravitational potential below the Brillouin sphere: The continuous case

Journal of Mathematical Physics ◽

10.1063/5.0044930 ◽

2021 ◽

Vol 62 (10) ◽

pp. 102901

Author(s):

C. Ogle ◽

O. Costin ◽

M. Bevis

Keyword(s):

Gravitational Potential ◽

Spherical Harmonic ◽

Spherical Harmonic Expansion ◽

Continuous Case

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High degree spherical harmonic expansion of gravity data

Bulletin Géodésique ◽

10.1007/bf02527036 ◽

1981 ◽

Vol 55 (1) ◽

pp. 86-93 ◽

Cited By ~ 2

Author(s):

Dezsö Nagy

Keyword(s):

Spherical Harmonic ◽

Gravity Data ◽

Spherical Harmonic Expansion ◽

High Degree

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Analysis of Small-Angle Neutron Scattering Spectra from Deformed Polymers with the Spherical Harmonic Expansion Method and a Network Model

Macromolecules ◽

10.1021/acs.macromol.8b01913 ◽

2018 ◽

Vol 51 (21) ◽

pp. 9011-9018 ◽

Cited By ~ 4

Author(s):

Zhi-Yuan Wang ◽

Dejia Kong ◽

Lincan Yang ◽

Hongwei Ma ◽

Fengmei Su ◽

...

Keyword(s):

Neutron Scattering ◽

Network Model ◽

Small Angle ◽

Spherical Harmonic ◽

Small Angle Neutron Scattering ◽

Expansion Method ◽

Spherical Harmonic Expansion ◽

Scattering Spectra

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Analysis of the data processing strategies of spherical harmonic expansion model on global ionosphere mapping for moderate solar activity

Advances in Space Research ◽

10.1016/j.asr.2018.10.031 ◽

2019 ◽

Vol 63 (3) ◽

pp. 1214-1226 ◽

Cited By ~ 2

Author(s):

Qiang Zhang ◽

Qile Zhao

Keyword(s):

Solar Activity ◽

Data Processing ◽

Spherical Harmonic ◽

Spherical Harmonic Expansion ◽

Processing Strategies ◽

Expansion Model

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2-Dimensional Mosfet Analysis Including Impact Ionization by Self-Consistent Solution of the Boltzmann Transport and Poisson Equations Using a Generalized Spherical Harmonic Expansion Method

Hot Carriers in Semiconductors ◽

10.1007/978-1-4613-0401-2_111 ◽

1996 ◽

pp. 485-489

Author(s):

W. C. Liang ◽

Y.-J Wu ◽

K. Hennacy ◽

S. Singh ◽

N. Goldsman ◽

...

Keyword(s):

Spherical Harmonic ◽

Impact Ionization ◽

Expansion Method ◽

Spherical Harmonic Expansion ◽

Boltzmann Transport ◽

Poisson Equations ◽

Self Consistent ◽

Consistent Solution

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Design of multipole loudspeaker array based on spherical harmonic expansion

2011 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP) ◽

10.1109/icassp.2011.5946348 ◽

2011 ◽

Cited By ~ 5

Author(s):

Yoichi Haneda ◽

Ken'ichi Furuya ◽

Hiroaki Itou

Keyword(s):

Spherical Harmonic ◽

Spherical Harmonic Expansion

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Spherical-Harmonic Expansion Techniques for Multicenter Integrals over STO’s. A Re-Examination for Vector Processing Computers

ETO Multicenter Molecular Integrals ◽

10.1007/978-94-009-7921-5_10 ◽

1982 ◽

pp. 103-121

Author(s):

H. H. Michels

Keyword(s):

Spherical Harmonic ◽

Spherical Harmonic Expansion ◽

Multicenter Integrals ◽

Vector Processing

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The spherical harmonic expansion coefficients and multidimensional integrals in theories of liquids

Czechoslovak Journal of Physics ◽

10.1007/bf01597437 ◽

1989 ◽

Vol 39 (1) ◽

pp. 65-79 ◽

Cited By ~ 21

Author(s):

I. Nezbeda ◽

J. Kolafa ◽

S. Labík

Keyword(s):

Spherical Harmonic ◽

Spherical Harmonic Expansion ◽

Expansion Coefficients ◽

Multidimensional Integrals

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Adding method of delta-four-stream spherical harmonic expansion approximation for infrared radiative transfer parameterization

Infrared Physics & Technology ◽

10.1016/j.infrared.2016.08.001 ◽

2016 ◽

Vol 78 ◽

pp. 254-262 ◽

Cited By ~ 4

Author(s):

Kun Wu ◽

Feng Zhang ◽

Jinzhong Min ◽

Qiu-Run Yu ◽

Xin-Yue Wang ◽

...

Keyword(s):

Radiative Transfer ◽

Spherical Harmonic ◽

Spherical Harmonic Expansion

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Assessment of a Numerical Method for Computing the Spherical Harmonic Coefficients of the Gravitational Potential of a Constant Density Polyhedron

Gravity, Geoid and Earth Observation - International Association of Geodesy Symposia ◽

10.1007/978-3-642-10634-7_58 ◽

2010 ◽

pp. 437-443

Author(s):

O. Jamet ◽

J. Verdun ◽

D. Tsoulis ◽

N. Gonindard

Keyword(s):

Numerical Method ◽

Gravitational Potential ◽

Spherical Harmonic ◽

Constant Density

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Modeling the volume conductor-double Fourier series approximation versus spherical harmonic expansion

Proceedings of the 2nd International Conference on Bioelectromagnetism (Cat. No.98TH8269) ◽

10.1109/icbem.1998.666367 ◽

2002 ◽

Author(s):

G. Lafer ◽

P. Wach ◽

B. Tilg

Keyword(s):

Fourier Series ◽

Spherical Harmonic ◽

Double Fourier Series ◽

Spherical Harmonic Expansion ◽

Volume Conductor ◽

Series Approximation ◽

Fourier Series Approximation

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