Error propagation for the Molodensky G1 term
Molodensky G terms are used in the computation of the quasigeoid. We derive error propagation formulas that take into account uncertainties in both the free air gravity anomaly and a digital elevation model. These are applied to generate G1 terms and their errors on a 1? × 1? grid over Australia. We...
| Main Authors: | , , |
|---|---|
| Format: | Journal Article |
| Published: |
Springer - Verlag
2018
|
| Online Access: | http://hdl.handle.net/20.500.11937/73362 |
| _version_ | 1848762994708709376 |
|---|---|
| author | McCubbine, J. Featherstone, Will Brown, N. |
| author_facet | McCubbine, J. Featherstone, Will Brown, N. |
| author_sort | McCubbine, J. |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | Molodensky G terms are used in the computation of the quasigeoid. We derive error propagation formulas that take into account uncertainties in both the free air gravity anomaly and a digital elevation model. These are applied to generate G1 terms and their errors on a 1? × 1? grid over Australia. We use these to produce Molodensky gravity anomaly and accompanying uncertainty grids. These uncertainties have average value of 2 mGal with maximum of 54 mGal. We further calculate a gravimetric quasigeoid model by the remove–compute–restore technique. These Molodensky gravity anomaly uncertainties lead to quasigeoid uncertainties with a mean of 4 mm and maximum of 80 mm when propagated through a deterministically modified Stokes’s integral over an integration cap radius of 0.5°. |
| first_indexed | 2025-11-14T10:56:25Z |
| format | Journal Article |
| id | curtin-20.500.11937-73362 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T10:56:25Z |
| publishDate | 2018 |
| publisher | Springer - Verlag |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-733622019-05-23T03:33:44Z Error propagation for the Molodensky G1 term McCubbine, J. Featherstone, Will Brown, N. Molodensky G terms are used in the computation of the quasigeoid. We derive error propagation formulas that take into account uncertainties in both the free air gravity anomaly and a digital elevation model. These are applied to generate G1 terms and their errors on a 1? × 1? grid over Australia. We use these to produce Molodensky gravity anomaly and accompanying uncertainty grids. These uncertainties have average value of 2 mGal with maximum of 54 mGal. We further calculate a gravimetric quasigeoid model by the remove–compute–restore technique. These Molodensky gravity anomaly uncertainties lead to quasigeoid uncertainties with a mean of 4 mm and maximum of 80 mm when propagated through a deterministically modified Stokes’s integral over an integration cap radius of 0.5°. 2018 Journal Article http://hdl.handle.net/20.500.11937/73362 10.1007/s00190-018-1211-6 http://creativecommons.org/licenses/by/4.0/ Springer - Verlag fulltext |
| spellingShingle | McCubbine, J. Featherstone, Will Brown, N. Error propagation for the Molodensky G1 term |
| title | Error propagation for the Molodensky G1 term |
| title_full | Error propagation for the Molodensky G1 term |
| title_fullStr | Error propagation for the Molodensky G1 term |
| title_full_unstemmed | Error propagation for the Molodensky G1 term |
| title_short | Error propagation for the Molodensky G1 term |
| title_sort | error propagation for the molodensky g1 term |
| url | http://hdl.handle.net/20.500.11937/73362 |