Gravity/magnetic potential of uneven shell topography |
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| Authors: | G Ramillien |
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| Institution: | (1) NOAA Laboratory for Satellite Altimetry, E/RA31, SSMC3, Room 3620, 1315 East–West Highway, Silver Spring, MD 20910-3282, USA e-mail: guillaume.ramillien@falcon.grdl.noaa.gov; Tel.: +1-301-713-2857; Fax: +1-301-713-4598, US |
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| Abstract: | A fast spherical harmonic approach enables the computation of gravitational or magnetic potential created by a non-uniform
shell of material bounded by uneven topographies. The resulting field can be evaluated outside or inside the sphere, assuming
that density of the shell varies with latitude, longitude, and radial distance. To simplify, the density (or magnetization)
source inside the sphere is assumed to be the product of a surface function and a power series expansion of the radial distance.
This formalism is applied to compute the gravity signal of a steady, dry atmosphere. It provides geoid/gravity maps at sea
level as well as satellite altitude. Results of this application agree closely with those of earlier studies, where the atmosphere
contribution to the Earth's gravity field was determined using more time-consuming methods.
Received: 14 August 2000 / Accepted: 19 March 2001 |
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| Keywords: | : Geopotential modeling – Spherical harmonics – Forward problem |
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