The atmospheric geoid effects in Stokes' formula
The application of Stokes’ formula requires that the atmospheric effect on the gravity anomaly is removed. We show that this direct effect reaches about − 40 cm over the Himalayas and Antarctica. The restoring of the atmospheric masses yields the indirect atmospheric effect, reaching about − 20 cm f...
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fthighwire:oai:open-archive.highwire.org:gji:140/1/95 2023-05-15T13:40:01+02:00 The atmospheric geoid effects in Stokes' formula Sjöberg, Lars E. Nahavandchi, Hossein 2000-01-01 00:00:00.0 text/html http://gji.oxfordjournals.org/cgi/content/short/140/1/95 https://doi.org/10.1046/j.1365-246x.2000.00995.x en eng Oxford University Press http://gji.oxfordjournals.org/cgi/content/short/140/1/95 http://dx.doi.org/10.1046/j.1365-246x.2000.00995.x Copyright (C) 2000, Oxford University Press Articles TEXT 2000 fthighwire https://doi.org/10.1046/j.1365-246x.2000.00995.x 2013-05-27T15:45:21Z The application of Stokes’ formula requires that the atmospheric effect on the gravity anomaly is removed. We show that this direct effect reaches about − 40 cm over the Himalayas and Antarctica. The restoring of the atmospheric masses yields the indirect atmospheric effect, reaching about − 20 cm for the same regions. Consequently, the total atmospheric effect on the geoid is of the order of − 60 cm. However, for most areas close to sea level, the correction is within a few centimetres. Furthermore, the total atmospheric geoid effect is derived for the truncated as well as the modified Stokes formula. It is emphasized that the traditional (IAG) approach to adding a direct atmospheric effect to gravity may lead to a serious geoid bias in the truncated Stokes formula. However, as all the parameters of the bias are known, it can easily be corrected. In contrast, we suggest that the total atmospheric effect on the geoid be determined separately. In this approach the bias is avoided. Text Antarc* Antarctica HighWire Press (Stanford University) Geophysical Journal International 140 1 95 100 |
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Articles Sjöberg, Lars E. Nahavandchi, Hossein The atmospheric geoid effects in Stokes' formula |
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The application of Stokes’ formula requires that the atmospheric effect on the gravity anomaly is removed. We show that this direct effect reaches about − 40 cm over the Himalayas and Antarctica. The restoring of the atmospheric masses yields the indirect atmospheric effect, reaching about − 20 cm for the same regions. Consequently, the total atmospheric effect on the geoid is of the order of − 60 cm. However, for most areas close to sea level, the correction is within a few centimetres. Furthermore, the total atmospheric geoid effect is derived for the truncated as well as the modified Stokes formula. It is emphasized that the traditional (IAG) approach to adding a direct atmospheric effect to gravity may lead to a serious geoid bias in the truncated Stokes formula. However, as all the parameters of the bias are known, it can easily be corrected. In contrast, we suggest that the total atmospheric effect on the geoid be determined separately. In this approach the bias is avoided. |
format |
Text |
author |
Sjöberg, Lars E. Nahavandchi, Hossein |
author_facet |
Sjöberg, Lars E. Nahavandchi, Hossein |
author_sort |
Sjöberg, Lars E. |
title |
The atmospheric geoid effects in Stokes' formula |
title_short |
The atmospheric geoid effects in Stokes' formula |
title_full |
The atmospheric geoid effects in Stokes' formula |
title_fullStr |
The atmospheric geoid effects in Stokes' formula |
title_full_unstemmed |
The atmospheric geoid effects in Stokes' formula |
title_sort |
atmospheric geoid effects in stokes' formula |
publisher |
Oxford University Press |
publishDate |
2000 |
url |
http://gji.oxfordjournals.org/cgi/content/short/140/1/95 https://doi.org/10.1046/j.1365-246x.2000.00995.x |
genre |
Antarc* Antarctica |
genre_facet |
Antarc* Antarctica |
op_relation |
http://gji.oxfordjournals.org/cgi/content/short/140/1/95 http://dx.doi.org/10.1046/j.1365-246x.2000.00995.x |
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Copyright (C) 2000, Oxford University Press |
op_doi |
https://doi.org/10.1046/j.1365-246x.2000.00995.x |
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Geophysical Journal International |
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140 |
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1 |
container_start_page |
95 |
op_container_end_page |
100 |
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1766126952630976512 |