摘要
本文结合椭球域的特点导出了三类椭球域边值问题的准格林函数解。这些解的主项分别是椭球域泊松积分、纽曼积分和司托克斯积分；次项是Ｏ（ｅ２）量级的非谐和级数改正项。
The development of the ellipsoidal harmonics theory provides means for solving lineared Geodetic Boundary Value Problems(GBVPs) which correspond to an ellipsoid of revolution. Although the ellipsoidal harmonic models of the gravitational field have been investigated by several authors, the integral solutions of the GBVPs on an ellipsoidal surface seem to be more critical than it has been recognized. This paper aims at deriving exact integral solutions of the GBVPs by use of the combination of the quasi Green's function and the ellipsoidal spectrum of the earth' anomaly potential.
出处
《测绘学报》
EI
CSCD
北大核心
1997年第2期176-183,共8页
Acta Geodaetica et Cartographica Sinica
关键词
椭球谐和函数
大地边值问题
格林函数
椭球域
ellipsoidal harmonic function, GBVP, general distance, Green's function
