Existence of a class of irregular bodies with a higher convergence rate of Laplace series for the gravitational potential

DOI10.1007/S10569-015-9622-7zbMath1322.70010OpenAlexW623681570MaRDI QIDQ748266

Vakhit Sh. Shaidulin, Konstantin Vladislavovich Kholshevnikov

Publication date: 20 October 2015

Published in: Celestial Mechanics and Dynamical Astronomy (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10569-015-9622-7

zbMATH Keywords

convergence rategravitational potentialLaplace seriesconic bodies

Mathematics Subject Classification ID

Celestial mechanics (70F15)

Related Items (5)

On the exactness of estimates for irregularly structured bodies of the general term of Laplace series ⋮ On the use of the K-means algorithm for determination of mass distributions in dumbbell-like celestial bodies ⋮ The Laplace series of ellipsoidal figures of revolution ⋮ The exact transformation from spherical harmonic to ellipsoidal harmonic coefficients for gravitational field modeling ⋮ Stokes constants of an oblate ellipsoid of revolution with equidensites homothetic to its surface

Cites Work

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• On properties of integrals of the Legendre polynomial
• On convergence of an asymmetrical body potential expansion in spherical harmonics
• Earth Dynamics
• [https://portal.mardi4nfdi.de/wiki/Publication:5618566 Le d�veloppement du potentiel dans le cas d'une densit� analytique]
• [https://portal.mardi4nfdi.de/wiki/Publication:5655669 Le d�veloppement du potentiel dans le cas d'une densit� lisse]

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