欢迎您！东篱公司
退出
-
申报数据库
-
立项数据库
-
成果数据库
-
项目获奖数据库
中文摘要：
研究利用卫星重力梯度径向分量确定地球引力场位系数的最小二乘配置（LSC）调和分析方法。首先论述最小二乘配置法的原理,推导扰动引力梯度观测量与球谐系数之间的协方差和自协方差矩阵。在扰动引力梯度观测数据为等经差规则网格数据的情况下,引力位与扰动引力梯度之间的协方差矩阵具有分块Toeplitz循环阵的结构,有效地利用FFT变换技术将其降阶。研究利用截断奇异值分解法（TSVD）减弱协方差阵的病态性。最后得到引力梯度径向分量的最小二乘配置调和分析的完整计算公式。模拟试算结果表明,基于TSVD的最小二乘配置调和分析方法,能够以较高的精度还原全球重力场,验证本文算法的有效性和实用性。
英文摘要：
The least-squares collocation harmonic analysis method,which is used to determine the earth geopotential coefficients from the radial satellite gravity gradient,is deeply studied.The principle of the least-squares collocation is firstly dissertated,and the covariance and self-covariance matrix between the disturbing gravity gradients and spherical harmonics are derived.When the disturbing gravity gradients are in the regularized equi-longitude grid,the covariance matrix between geopotential and disturbing gravity gradients has the configuration of blocked Toeplitz circulation matrix,and its degree can be lowered by using the fast Fourier transform technology effectively.Truncated singular value decomposition（TSVD）which is used to solve the ill-posed problem of covariance matrix is studied.The complete formula of least-squares collocation harmonic analysis of the radial gravity gradient is finally obtained.The simulation experiment results show that the least-squares collocation harmonic analysis based on TSVD can recover the global gravity field in a rather high precision and validity and practicability of algorithms in this paper are also testified.
同期刊论文项目
同项目期刊论文
期刊信息
位置：