Hotine函数法的椭球面积分解

本文给出了Hotine 函数法的椭球面积分解,以应用于计算精确的大地水准面起伏。计算表明,当积分半径为20°时,我国近海的椭球改正只有10cm,远比stokes公式的椭球改正要小。

The Ellipsoidal Solutions of Hotine's Approaches

Geoid undulation can be computed from gravity anomalies using Stokes tech-nique. In addition, we can also compute the geoid undulation from gravity disturbances usingHotine's technique. However,even only the gravity anomalies are avalaible we can computethe geoid undulation using modified Hotine's approaches. In this paper, the ellipsoidal solu-tions of the three kinds of Hotine's approaches are presented, Meanwhile, the author alsogives a numerical example to illustrate the amplitude of the ellipsoidal corrections of Hotine's formula.