基于Simpson公式的卫星测高反演重力异常奇异积分  

Singular integral of gravity anomaly inversion by satellite altimetry based on Simpson formula

作　　者：黄晓颖 崔国恒[1] 李厚朴[2] HUANG Xiao-ying;CUI Guo-heng;LI Hou-pu(Dept. of Operational Research and Programming, Naval Univ. of Engineering, Wuhan 430033, China;College of Electrical Engineering, Naval Univ. of Engineering, Wuhan 430033, China)

机构地区：[1]海军工程大学作战运筹与规划系,武汉430033 [2]海军工程大学电气工程学院,武汉430033

出　　处：《海军工程大学学报》2020年第3期37-42,55,共7页Journal of Naval University of Engineering

基　　金：国家自然科学基金资助项目(41631072,41874091,41771487);湖北省杰出青年科学基金资助项目(2019CFA086)。

摘　　要：为进一步完善卫星测高反演重力异常的理论,对逆Stokes公式法和逆Vening-Meinesz公式法中的奇异积分问题进行了新的研究。首先在上述两种方法中引入Simpson公式,然后推导出基于Simpson公式的逆Stokes公式和逆Vening-Meinesz公式的求积公式。经验证,该公式使计算形式简明、计算效率提高、计算精度优于1%,且使用起来较方便,便于推广使用。Aiming at improving the arithmetic theory of gravity anomaly inversion by satellite altimetry,a new investigation of singular integral of inverse Vening-Meinesz formula and inverse Stokes formula is done based on Simpson formula.While introducing Simpson formula,the integral formula of inverse Vening-Meinesz formula and inverse Stokes formula based on Simpson formula is educed,which can simplify calculation format and improve calculation efficiency.It is proved that the calculation accuracy of the formula is better than 1%,appropriate for popularization.

关 键 词：卫星测高 重力异常 奇异积分 

分 类 号：P233[天文地球—摄影测量与遥感]