Topographic and atmospheric corrections of gravimetric geoid determination with special emphasis on the effects of harmonics of degrees zero and one |
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Authors: | L. E. Sjöberg |
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Affiliation: | (1) Department of Geodesy and Photogrammetry, Royal Institute of Technology, SE-100 44 Stockholm, Sweden e-mail: sjoberg@geomatics.kth.se; Tel.: +46-8-790-73-30; Fax: +46-8-7907343, SE |
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Abstract: | The topographic and atmospheric effects of gravimetric geoid determination by the modified Stokes formula, which combines terrestrial gravity and a global geopotential model, are presented. Special emphasis is given to the zero- and first-degree effects. The normal potential is defined in the traditional way, such that the disturbing potential in the exterior of the masses contains no zero- and first-degree harmonics. In contrast, it is shown that, as a result of the topographic masses, the gravimetric geoid includes such harmonics of the order of several centimetres. In addition, the atmosphere contributes with a zero-degree harmonic of magnitude within 1 cm. Received: 5 November 1999 / Accepted: 22 January 2001 |
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Keywords: | : Atmospheric Effects – Geoid – Topographic Effects |
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