Spherical cap harmonic analysis: a comment on its proper use for local gravity field representation |
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| Authors: | A De Santis J M Torta |
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| Institution: | (1) Istituto Nazionale di Geofisica, V. Vigna Murata 605-00143 Roma, Italy; fax: 396 5041181; e-mail: desantisag@ing750.ingrm.it, IT;(2) Observatori de l'Ebre, CSIC, Roquetes, Spain; fax: 34 77 50 46 60; e-mail: ebre.jmtorta@readysoft.es, ES |
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| Abstract: | 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.
Received: 16 January 1996 / Accepted: 17 March 1997 |
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| Keywords: | , Spherical cap harmonic analysis Local gravity field,Least-squares approach |
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