A platform for research: civil engineering, architecture and urbanism
A platform for research: civil engineering, architecture and urbanism
The Effects of Stokes’s Formula for an Ellipsoidal Layering of the Earth’s Atmosphere
Abstract The application of Stokes’s formula to determine the geoid height requires that topographic and atmospheric masses be mathematically removed prior to Stokes integration. This corresponds to the applications of the direct topographic and atmospheric effects. For a proper geoid determination, the external masses must then be restored, yielding the indirect effects. Assuming an ellipsoidal layering of the atmosphere with 15% increase in its density towards the poles, the direct atmospheric effect on the geoid height is estimated to be −5.51 m plus a second-degree zonal harmonic term with an amplitude of 1.1 cm. The indirect effect is +5.50 m and the total geoid correction thus varies between −1.2 cm at the equator to 1.9 cm at the poles. Finally, the correction needed to the atmospheric effect if Stokes’s formula is used in a spherical approximation, rather than an ellipsoidal approximation, of the Earth varies between 0.3 cm and 4.0 cm at the equator and pole, respectively.
The Effects of Stokes’s Formula for an Ellipsoidal Layering of the Earth’s Atmosphere
Abstract The application of Stokes’s formula to determine the geoid height requires that topographic and atmospheric masses be mathematically removed prior to Stokes integration. This corresponds to the applications of the direct topographic and atmospheric effects. For a proper geoid determination, the external masses must then be restored, yielding the indirect effects. Assuming an ellipsoidal layering of the atmosphere with 15% increase in its density towards the poles, the direct atmospheric effect on the geoid height is estimated to be −5.51 m plus a second-degree zonal harmonic term with an amplitude of 1.1 cm. The indirect effect is +5.50 m and the total geoid correction thus varies between −1.2 cm at the equator to 1.9 cm at the poles. Finally, the correction needed to the atmospheric effect if Stokes’s formula is used in a spherical approximation, rather than an ellipsoidal approximation, of the Earth varies between 0.3 cm and 4.0 cm at the equator and pole, respectively.
The Effects of Stokes’s Formula for an Ellipsoidal Layering of the Earth’s Atmosphere
Sjöberg, Lars E. (author)
Journal of Geodesy ; 79
2006
Article (Journal)
Electronic Resource
English
The Effects of Stokes’s Formula for an Ellipsoidal Layering of the Earth’s Atmosphere
| Online Contents | 2006
A new method for computing the ellipsoidal correction for Stokes's formula
| Online Contents | 2000
The use of Stokes’s formula in the adjustment of surveys
| Online Contents | 1953
A method to validate gravimetric-geoid computation software based on Stokes's integral formula
| Online Contents | 1997
| Online Contents | 2020