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基于非全张量卫星重力梯度数据的张量不变量法
引用本文:吴星,王凯,冯炜,汪涛.基于非全张量卫星重力梯度数据的张量不变量法[J].地球物理学报,2011,54(4):966-976.
作者姓名:吴星  王凯  冯炜  汪涛
作者单位:1. 总装备部工程设计研究总院,北京 100028; 2. 信息工程大学测绘学院,郑州 450052; 3. 北京环球信息应用开发中心,北京 100094
基金项目:国家自然科学基金项目,解放军信息工程大学博士生创新基金
摘    要:在非全张量卫星重力梯度观测数据的处理过程中,由于卫星姿态角误差、梯度观测数据误差和非全张量观测等原因,重力梯度值从卫星重力梯度仪系转换到地固系后,精度损失严重.本文研究了张量不变量法以解决上述问题.首先在重力梯度张量不变量线性化的基础上,建立了基于卫星轨道面的不变量观测模型,完整地推导了两类重力梯度张量不变量的球近似和...

关 键 词:卫星重力梯度  张量不变量  地球重力场  调和分析  GOCE
收稿时间:2010-03-30

Method of tensor invariant based on non-full tensor satellite gravity gradients
WU Xing,WANG Kai,FENG Wei,WANG Tao.Method of tensor invariant based on non-full tensor satellite gravity gradients[J].Chinese Journal of Geophysics,2011,54(4):966-976.
Authors:WU Xing  WANG Kai  FENG Wei  WANG Tao
Institution:1. Center for Engineering Design and Research under the Headquarters of General Equipment, Beijing 100028, China; 2. Institute of Surveying and Mapping,Information Engineering University,Zhengzhou 450052,China; 3. Global Information Application and Development Center of Beijing, Beijing 100094,China
Abstract:Due to the errors of satellite attitude, gradient observation as well as non-full tensor observation, the precision of gravity gradient values decreased greatly after transformation from satellite gradiometer coordinate system to earth-fixed coordinate system in the processing of non-full tensor observational data of satellite gravity gradient. The method of tensor invariant is mainly studied to overcome the issue mentioned above. Firstly, with the linearization of gravity gradient tensor, invariant observational model is established on the satellite orbital plane. Formulae solutions of sphere boundary problem of two invariants both in sphere approximation and considering earth eccentricity are given completely. Then, computing errors of tensor invariant are analyzed aiming at non-full tensor observational data of GOCE mission. The result shows that observational errors are not magnified in the processing. Finally, general torus harmonic analysis is introduced in the simulation, which shows that the processing result of tensor invariant is better than that of tensor components with big satellite attitude errors, and the method of tensor invariant could deal with the non-full tensor observational data effectively.
Keywords:Satellite gravity gradient  Tensor invariant  Earth's gravity field  Harmonic analysis  GOCE
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