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http://hdl.handle.net/2122/3974| Authors: | De Santis, A.* Torta, J. M.* |
Title: | Spherical cap harmonic analysis: a comment on its proper use for local gravity field representation | Journal: | Journal of Geodesy | Series/Report no.: | 9 / 71 (2007) | Publisher: | Springer - Verlag | Issue Date: | Aug-1997 | Keywords: | Spherical cap harmonic analysis Local gravity field Least-squares approach |
Subject Classification: | 04. Solid Earth::04.03. Geodesy::04.03.08. Theory and Models 05. General::05.05. Mathematical geophysics::05.05.99. General or miscellaneous |
Abstract: | Spherical cap harmonic analysis is the appro- priate analytical technique for modelling Laplacian potential and the corresponding field components over a spherical cap. This paper describes the use of this method by means of a least-squares approach for local gravity field representation. Formulations for the geoid undulation and the components ξ, η of the deflection of the vertical are derived, together with some warnings in the application of the technique. Although most of the formulations have been given by another paper, these were confusing or even incorrect, mainly because of an improper application of the spherical cap harmonic analysis. |
| Appears in Collections: | Article published / in press |
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