The ellipsoidal corrections for boundary value problems of deflection of the vertical with ellipsoid boundary

被引：0

作者：

Xiangchao Meng ^{[1
,2
,3
]}

Jinhai Yu ^{[1
,2
]}

Yongchao Zhu ^{[1
,2
]}

机构：

[1] Key Laboratory of Computational Geodynamics,Chinese Academy of Sciences

[2] College of Earth Science,University of Chinese Academy of Sciences

来源：

Geodesy and Geodynamics | 2017年 / 04期

关键词：

Disturbing potential; Deflection of the vertical; Ellipsoid; Ellipsoidal correction;

D O I：

暂无

中图分类号：

P226 [椭球面大地测量（高等测量）];

学科分类号：

081601 ;

摘要：

The boundary value problem of deflections of vertical with ellipsoid boundary is studied in the paper.Based on spherical harmonic series,the ellipsoidal corrections for the boundary value problem are derived so that it can be well solved.In addition,an imitation arithmetic is given for examining the accuracies of solutions for the boundary value problem as well as its spherical approximation problem,and the computational results illustrate that the boundary value problem has higher accuracy than its spherical approximation problem if deflection of the vertical are measured on geoid.

引用

页码：292 / 296

页数：5

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