Performance of three types of Stokes's kernel in the combined solution for the geoid |
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| Authors: | P Vaní?ek W E Featherstone |
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| Institution: | (1) Department of Geodesy and Geomatics Engineering, University of New Brunswick, P.O. Box 4400, Fredericton, New Brunswick, E3B 5A3, Canada e-mail: vanicek@unb.ca; Tel: +1 506 453 4698; Fax: +1 506 453 4943, CA;(2) School of Spatial Sciences, Curtin University of Technology, GPO Box U1987, Perth, WA 6845, Australia e-mail: Featherstone_WE@cc.curtin.edu.au; Tel: +61 8 9266 2734; Fax: +61 8 9266 2703, AU |
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| Abstract: | When regional gravity data are used to compute a gravimetric geoid in conjunction with a geopotential model, it is sometimes
implied that the terrestrial gravity data correct any erroneous wavelengths present in the geopotential model. This assertion
is investigated. The propagation of errors from the low-frequency terrestrial gravity field into the geoid is derived for
the spherical Stokes integral, the spheroidal Stokes integral and the Molodensky-modified spheroidal Stokes integral. It is
shown that error-free terrestrial gravity data, if used in a spherical cap of limited extent, cannot completely correct the
geopotential model. Using a standard norm, it is shown that the spheroidal and Molodensky-modified integration kernels offer
a preferable approach. This is because they can filter out a large amount of the low-frequency errors expected to exist in
terrestrial gravity anomalies and thus rely more on the low-frequency geopotential model, which currently offers the best
source of this information.
Received: 11 August 1997 / Accepted: 18 August 1998 |
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| Keywords: | , Geoid determination,Modified kernels,Error propagation,High-pass filtering |
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