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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| Institution: | (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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