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引力梯度归算的模拟计算
引用本文:于锦海,万晓云.引力梯度归算的模拟计算[J].地球物理学报,2011,54(5):1182-1186.
作者姓名:于锦海  万晓云
作者单位:1. 中国科学院研究生院地球科学学院,北京 100049; 2. 中国科学院计算地球动力学实验室,北京 100049
基金项目:中国科学院资环局专项项目
摘    要:引入引力梯度不变量后可将GOCE卫星观测数据简化成扰动位的径向二阶导数边界条件,由于卫星轨道不规则性给解算带来了很大的困难,因此解算过程中需要将在轨道上建立的边界条件延拓到如平均球面这样的规则曲面上来,由此便需要对引力梯度的延拓或归算等问题展开研究.本文依据Taylor展开讨论了引力梯度的归算方法,并针对EGM2008...

关 键 词:GOCE卫星计划  引力梯度不变量  卫星轨道  引力梯度归算
收稿时间:2010-05-19

Reduction for gradiometry and corresponding imitation
YU Jin-Hai,WAN Xiao-Yun.Reduction for gradiometry and corresponding imitation[J].Chinese Journal of Geophysics,2011,54(5):1182-1186.
Authors:YU Jin-Hai  WAN Xiao-Yun
Institution:1. College of Earch Science, Graduate University of Chinese Academy Sciences, Beijing 100049, China; 2. Laboratory of Computational Geodynamics, Chinese Academy of Sciences, Beijing 100049, China
Abstract:The boundary conditions for the second derivative of the disturbed potential along radial direction can be established on the satellite orbit from GOCE's gravitational gradient measurements after introducing the invariants of the gradient tensor. Because of the irregularity of the orbit surface, it is necessary to extend the boundary conditions on the orbit surface onto some regular surface such as the average sphere of the orbit. Some continuation methods of gradiometry are proposed with the help of Taylor expansion in the paper, and simulations are done for EGM2008 model. The computational results illustrate that the given continuation algorithm can efficiently correct the boundary values on the orbit surface and recover the spherical harmonic coefficients of the gravitational field. Considering applications in dealing with GOCE data, it is suggested to do twice gradiometry reductions consecutively.
Keywords:GOCE mission  Invariants of gradiometry  Satellite orbit  Reduction for gradiometry
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