Spherical cap harmonic analysis: A comment on its proper use for local gravity field representation

A. De Santis, J. M. Torta

Producció científica: Article en revista indexadaArticleAvaluat per experts

28 Cites (Scopus)

Resum

Spherical cap harmonic analysis is the appropriate 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.

Idioma originalAnglès
Pàgines (de-a)526-532
Nombre de pàgines7
RevistaJournal of Geodesy
Volum71
Número9
DOIs
Estat de la publicacióPublicada - d’ag. 1997
Publicat externament

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