A platform for research: civil engineering, architecture and urbanism
A platform for research: civil engineering, architecture and urbanism
On the ellipsoidal correction to the spherical Stokes solution of the gravimetric geoid
Abstract The solutions of four ellipsoidal approximations for the gravimetric geoid are reviewed: those of Molodenskii et al., Moritz, Martinec and Grafarend, and Fei and Sideris. The numerical results from synthetic tests indicate that Martinec and Grafarend’s solution is the most accurate, while the other three solutions contain an approximation error which is characterized by the first-degree surface spherical harmonic. Furthermore, the first 20 degrees of the geopotential harmonic series contribute approximately 90% of the ellipsoidal correction. The determination of a geoid model from the generalized Stokes scheme can accurately account for the ellipsoidal effect to overcome the first-degree surface spherical harmonic error regardless of the solution used.
On the ellipsoidal correction to the spherical Stokes solution of the gravimetric geoid
Abstract The solutions of four ellipsoidal approximations for the gravimetric geoid are reviewed: those of Molodenskii et al., Moritz, Martinec and Grafarend, and Fei and Sideris. The numerical results from synthetic tests indicate that Martinec and Grafarend’s solution is the most accurate, while the other three solutions contain an approximation error which is characterized by the first-degree surface spherical harmonic. Furthermore, the first 20 degrees of the geopotential harmonic series contribute approximately 90% of the ellipsoidal correction. The determination of a geoid model from the generalized Stokes scheme can accurately account for the ellipsoidal effect to overcome the first-degree surface spherical harmonic error regardless of the solution used.
On the ellipsoidal correction to the spherical Stokes solution of the gravimetric geoid
Huang, J. (author) / Véronneau, M. (author) / Pagiatakis, S. D. (author)
Journal of Geodesy ; 77
2003
Article (Journal)
English
BKL:
38.73
Geodäsie
The ellipsoidal correction to the Stokes kernel for precise geoid determination
| Online Contents | 2006
The ellipsoidal correction to the Stokes kernel for precise geoid determination
| Online Contents | 2006
| Online Contents | 2004
| Online Contents | 2004
The direct topographical correction in gravimetric geoid determination by the Stokes–Helmert method
| Online Contents | 2000