基于卫星重力梯度数据的点质量模型构建  

Point-Mass Model Construction Based on Satellite Gravity Gradients

作　　者：吴星[1,2] 张传定[1] 刘晓刚[1] 

机构地区：[1]信息工程大学测绘学院,河南郑州450052 [2]北京特种工程设计研究院,北京100028

出　　处：《测绘科学技术学报》2009年第6期414-417,共4页Journal of Geomatics Science and Technology

基　　金：国家自然科学基金资助项目(40774031);全国优秀博士论文专项基金资助项目(200344);信息工程大学博士生创新基金资助项目(200707);中国科学院动力大地测量学重点实验室开放基金资助项目(L06-06)

摘　　要：运用球极坐标系关于计算点和流动点的微分运算关系,研究并建立了由全球重力梯度复组合分量解算全球点质量模型的基本方程。在卫星重力梯度数据和点质量模型按照经纬分化的特定排列下,运用Toeplitz循环矩阵的特性和快速傅立叶变换算法,得到了利用分块循环矩阵分解大型线性方程组的方法;解决了全球点质量模型构建中大型线性方程组的稳定解算问题。The equations for the solution of global point mass from the combination of global gravity gradients in complex form were established using the differential operation between the computation point and the spherical moving point within a spherical polar coordinate system. With the latitudinal and longitudinal partition arrange- ment of satellite gravity gradients and point masses model, a method was set up for the decomposition of large linear equations using blocked cyclic matrix based on the characteristics of Toeplitz matrix and fast Fourier transform algorithm, and thus the stability was acquired in the solution of medium and large linear equations for global point mass model.

关 键 词：点质量模型 卫星重力梯度 Toeplitz循环矩阵 快速傅立叶变换 重力场和静态洋流探索 

分 类 号：P223[天文地球—大地测量学与测量工程]