重力三层点质量模型的构造与分析  

The Construction and Analysis for Three-tier Point Mass Model of Gravity

作　　者：王建强[1] 李建成[1] 赵国强[2] 韩建成[1] 

机构地区：[1]武汉大学测绘学院,湖北武汉430072 [2]中国地震局地震预测研究所GPS中心,北京100036

出　　处：《测绘学报》2010年第5期503-507,515,共6页Acta Geodaetica et Cartographica Sinica

基　　金：国家自然科学基金重点项目(40637034)

摘　　要：计算分析构造点质量模型过程中系数矩阵元素的特性。以32°N～34°N和103°E～105°E为计算中心区域,利用EGM2008的720阶次的位系数计算出的重力异常作为观测数据,在36阶次位系数模型的基础上构造四层点质量组分频段从低到高来逼近该区域重力场。数值试验的结果表明:三层点质量模型效果较好,点质量模型计算的扰动重力在径向上的截断误差优于2mGal(1mGal=10-3cm/s-2).The characteristics of the elements in the coefficient matrix for the model construction are analyzed by numerical calculation.The observations are calculated by using EGM2008 with degree and order 720 in the region of 32°N～34°N and 103°E～105°E.The four-tier point-mass groups based on the geopotential model with degree and order 36 are from low frequency to high frequency to approximate the gravity field.The results of the tests show that the effect of three-tier point-mass model is better than others and the truncation error of gravity disturbance created by using the point-mass model is less than 2 mGal（1 mGal=10-3 cm/s-2）on the radial direction.

关 键 词：点质量模型 模型构造 扰动重力 局部重力场 截断误差 

分 类 号：P223[天文地球—大地测量学与测量工程]