On the topographic bias by harmonic continuation of the geopotential for a spherical sea-level approximation
Topography is a problem in geoid determination by the Stokes formula, a high degree Earth Gravitational Model (EGM), or for a combination thereof. Herein, we consider this problem in analytical/harmonic downward continuation of the external potential at point P to a geocentric spherical sea level ap...
Saved in:
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
De Gruyter
2024-11-01
|
| Series: | Journal of Geodetic Science |
| Subjects: | |
| Online Access: | https://doi.org/10.1515/jogs-2022-0180 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Summary: | Topography is a problem in geoid determination by the Stokes formula, a high degree Earth Gravitational Model (EGM), or for a combination thereof. Herein, we consider this problem in analytical/harmonic downward continuation of the external potential at point P to a geocentric spherical sea level approximation in geoid determination as well as to a sphere through the footpoint at the topography of the normal through P. Decomposing the topographic bias into a Bouguer shell component and a terrain component, we derive these components. It is shown that there is no terrain bias outside a spherical dome of base radius equal to the height H
P of P above the sphere, and the height of the dome is about 0.4 × H
P. In the case of dealing with an EGM, utilizing Molodensky truncation coefficients is one way to cope with the bias. |
|---|---|
| ISSN: | 2081-9943 |