On the ellipsoidal correction to the spherical Stokes solution of the gravimetric geoid
On the ellipsoidal correction to the spherical Stokes solution of the gravimetric geoid
复制标题
重力大地水准面球斯托克斯解的椭球校正
DOI：
10.1007/s00190-003-0317-6
复制
发表时间：
2003
影响因子：
4.4
通讯作者：
S. Pagiatakis
中科院分区：
文献类型：
--
作者：
J. Huang;M. Véronneau;S. Pagiatakis
综述了重力大地水准面的四种椭球近似解：Molodenskii等人的解，Moritz，Martinec和Grafarend的解，以及Fei和Sideris的解。综合试验的数值结果表明，Martinec和Grafarend解的精度最高，而其他三个解的近似误差以一次曲面球面调和为特征。此外，地球位谐和级数的前20度贡献了大约90%的椭球改正。从广义Stokes格式确定大地水准面模型可以准确地考虑椭球效应，以克服一次曲面球面调和误差，无论使用何种解。
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.