The Relation Between Rigorous and Helmert's Definitions of Orthometric Heights
Following our earlier definition of the rigorous orthometric height [J Geod 79(1-3):82?92 (2005)] we present the derivation and calculation of the differences between this and the Helmert orthometric height, which is embedded in the vertical datums used in numerous countries. By way of comparison, w...
| Main Authors: | , , , , , , , |
|---|---|
| Format: | Journal Article |
| Published: |
Springer - Verlag
2006
|
| Subjects: | |
| Online Access: | http://hdl.handle.net/20.500.11937/7510 |
| _version_ | 1848745389361987584 |
|---|---|
| author | Santos, M. Vanek, P. Featherstone, Will Kingdon, R. Ellmann, A. Martin, B.-A. Kuhn, Michael Tenzer, R. |
| author_facet | Santos, M. Vanek, P. Featherstone, Will Kingdon, R. Ellmann, A. Martin, B.-A. Kuhn, Michael Tenzer, R. |
| author_sort | Santos, M. |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | Following our earlier definition of the rigorous orthometric height [J Geod 79(1-3):82?92 (2005)] we present the derivation and calculation of the differences between this and the Helmert orthometric height, which is embedded in the vertical datums used in numerous countries. By way of comparison, we also consider Mader and Niethammer?s refinements to the Helmert orthometric height. For a profile across the Canadian Rocky Mountains (maximum height of ~2,800 m), the rigorous correction toHelmert?s height reaches~13 cm, whereas the Mader and Niethammer corrections only reach ~3 cm. The discrepancy is due mostly to the rigorous correction?s consideration of the geoid-generated gravity disturbance. We also point out that several of the terms derived here are the same as those used in regional gravimetric geoidmodels, thus simplifying their implementation. This will enable those who currently use Helmert orthometric heights to upgrade them to a more rigorous height system based on the Earth?s gravity field and one that is more compatible with a regional geoid model. |
| first_indexed | 2025-11-14T06:16:35Z |
| format | Journal Article |
| id | curtin-20.500.11937-7510 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T06:16:35Z |
| publishDate | 2006 |
| publisher | Springer - Verlag |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-75102017-09-13T15:54:28Z The Relation Between Rigorous and Helmert's Definitions of Orthometric Heights Santos, M. Vanek, P. Featherstone, Will Kingdon, R. Ellmann, A. Martin, B.-A. Kuhn, Michael Tenzer, R. Mean gravity Plumbline Geoid Orthometric height Following our earlier definition of the rigorous orthometric height [J Geod 79(1-3):82?92 (2005)] we present the derivation and calculation of the differences between this and the Helmert orthometric height, which is embedded in the vertical datums used in numerous countries. By way of comparison, we also consider Mader and Niethammer?s refinements to the Helmert orthometric height. For a profile across the Canadian Rocky Mountains (maximum height of ~2,800 m), the rigorous correction toHelmert?s height reaches~13 cm, whereas the Mader and Niethammer corrections only reach ~3 cm. The discrepancy is due mostly to the rigorous correction?s consideration of the geoid-generated gravity disturbance. We also point out that several of the terms derived here are the same as those used in regional gravimetric geoidmodels, thus simplifying their implementation. This will enable those who currently use Helmert orthometric heights to upgrade them to a more rigorous height system based on the Earth?s gravity field and one that is more compatible with a regional geoid model. 2006 Journal Article http://hdl.handle.net/20.500.11937/7510 10.1007/s00190-006-0086-0 Springer - Verlag fulltext |
| spellingShingle | Mean gravity Plumbline Geoid Orthometric height Santos, M. Vanek, P. Featherstone, Will Kingdon, R. Ellmann, A. Martin, B.-A. Kuhn, Michael Tenzer, R. The Relation Between Rigorous and Helmert's Definitions of Orthometric Heights |
| title | The Relation Between Rigorous and Helmert's Definitions of Orthometric Heights |
| title_full | The Relation Between Rigorous and Helmert's Definitions of Orthometric Heights |
| title_fullStr | The Relation Between Rigorous and Helmert's Definitions of Orthometric Heights |
| title_full_unstemmed | The Relation Between Rigorous and Helmert's Definitions of Orthometric Heights |
| title_short | The Relation Between Rigorous and Helmert's Definitions of Orthometric Heights |
| title_sort | relation between rigorous and helmert's definitions of orthometric heights |
| topic | Mean gravity Plumbline Geoid Orthometric height |
| url | http://hdl.handle.net/20.500.11937/7510 |