Error bounds for the spectral approximation of the potential of a homogeneous almost spherical body

Several kinds of approximation of the gravitational potential of a homogeneous body by truncated spherical harmonics series are in use in physical geodesy. However, only one of them is capable of a representation converging to the true potential in the whole layer between the Brillouin sphere and th...

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Bibliographic Details
Published in:	Studia geophysica et geodaetica Vol. 65; no. 3-4; pp. 235 - 260
Main Authors:	Bucha, Blažej, Rossi, Lorenzo, Sansò, Fernando
Format:	Journal Article
Language:	English
Published:	Dordrecht Springer Netherlands 01-10-2021 Springer Nature B.V
Subjects:	Approximation Atmospheric Sciences Computation Convergence Distribution functions Earth and Environmental Science Earth Sciences Errors Geodesy Geophysics/Geodesy Gravity Mathematical analysis Norms Spherical harmonics Structural Geology Upper bounds gravity field convergence theory numerical bounds homogeneous bodies spectral approximation
Online Access:	Get full text
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