The topographic bias in gravimetric geoid determination revisited
The topographic potential bias at geoid level is the error of the analytically continued geopotential from or above the Earth’s surface to the geoid. We show that the topographic potential can be expressed as the sum of two Bouguer shell components, where the density distribution of one is spherical...
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| Format: | Article |
| Language: | English |
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De Gruyter
2019-12-01
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| Series: | Journal of Geodetic Science |
| Subjects: | |
| Online Access: | https://doi.org/10.1515/jogs-2019-0007 |
| _version_ | 1811182854925713408 |
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| author | Sjöberg Lars E. |
| author_facet | Sjöberg Lars E. |
| author_sort | Sjöberg Lars E. |
| collection | DOAJ |
| description | The topographic potential bias at geoid level is the error of the analytically continued geopotential from or above the Earth’s surface to the geoid. We show that the topographic potential can be expressed as the sum of two Bouguer shell components, where the density distribution of one is spherical symmetric and the other is harmonic at any point along the normal to a sphere through the computation point. As a harmonic potential does not affect the bias, the resulting topographic bias is that of the first component, i.e. the spherical symmetric Bouguer shell. This implies that the so-called terrain potential is not likely to contribute significantly to the bias. We present three examples of the geoid bias for different topographic density distributions. |
| first_indexed | 2024-04-11T09:37:29Z |
| format | Article |
| id | doaj.art-3c980a2ccb7c4b1db97b6dceab2bae35 |
| institution | Directory Open Access Journal |
| issn | 2081-9943 |
| language | English |
| last_indexed | 2024-04-11T09:37:29Z |
| publishDate | 2019-12-01 |
| publisher | De Gruyter |
| record_format | Article |
| series | Journal of Geodetic Science |
| spelling | doaj.art-3c980a2ccb7c4b1db97b6dceab2bae352022-12-22T04:31:31ZengDe GruyterJournal of Geodetic Science2081-99432019-12-0191596410.1515/jogs-2019-0007jogs-2019-0007The topographic bias in gravimetric geoid determination revisitedSjöberg Lars E.0Royal Institute of Technology (KTH)Stockholm, SwedenThe topographic potential bias at geoid level is the error of the analytically continued geopotential from or above the Earth’s surface to the geoid. We show that the topographic potential can be expressed as the sum of two Bouguer shell components, where the density distribution of one is spherical symmetric and the other is harmonic at any point along the normal to a sphere through the computation point. As a harmonic potential does not affect the bias, the resulting topographic bias is that of the first component, i.e. the spherical symmetric Bouguer shell. This implies that the so-called terrain potential is not likely to contribute significantly to the bias. We present three examples of the geoid bias for different topographic density distributions.https://doi.org/10.1515/jogs-2019-0007density distributiongeoidgeopotentialterraintopographic bias |
| spellingShingle | Sjöberg Lars E. The topographic bias in gravimetric geoid determination revisited Journal of Geodetic Science density distribution geoid geopotential terrain topographic bias |
| title | The topographic bias in gravimetric geoid determination revisited |
| title_full | The topographic bias in gravimetric geoid determination revisited |
| title_fullStr | The topographic bias in gravimetric geoid determination revisited |
| title_full_unstemmed | The topographic bias in gravimetric geoid determination revisited |
| title_short | The topographic bias in gravimetric geoid determination revisited |
| title_sort | topographic bias in gravimetric geoid determination revisited |
| topic | density distribution geoid geopotential terrain topographic bias |
| url | https://doi.org/10.1515/jogs-2019-0007 |
| work_keys_str_mv | AT sjoberglarse thetopographicbiasingravimetricgeoiddeterminationrevisited AT sjoberglarse topographicbiasingravimetricgeoiddeterminationrevisited |