测绘科学技术学报2025，Vol.41Issue(4)：348-352,5.DOI:10.3969/j.issn.1673-6338.2025.04.003
Poisson核截断系数计算方法
A Method of Calculating the Truncation Coefficients for Poisson's Kernel
赵辉 1王文超 1王建伟 1王夏莉 1李思卓1
作者信息
- 1. 自然资源部大地测量数据处理中心,陕西西安 710054
- 折叠
摘要
Abstract
In the calculation of the far-zone contribution of Poisson's integral,the truncation coefficients for Poisson's kernel is usually calculated by numerical integration method.We derived a rigorous formula of calculating the truncation coefficient for Poisson's kernel,which can achieve fast calculation of the truncation coefficients by completing only a few fixed operations.Using the rigorous formula,the truncation coefficients of different continua-tion heights and different integral radii from degree 0 to degree 720 were calculated.After analysis,under the same integral radius,with the increase of continuation height,the fluctuation range of the Poisson's kernel truncation co-efficient becomes larger.Under the same extension height,with the increase of integral radius,the fluctuation range of the Poisson's kernel truncation coefficient becomes smaller.关键词
第一大地边值问题/Poisson积分/截断系数/远区影响/重力延拓Key words
first geodetic boundary value problem/Poisson's integral/truncation coefficient/far-zone contribution/gravity continuation分类
测绘与仪器引用本文复制引用
赵辉,王文超,王建伟,王夏莉,李思卓..Poisson核截断系数计算方法[J].测绘科学技术学报,2025,41(4):348-352,5.
