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基于时空域混合法利用Kaula正则化精确和快速解算GOCE地球重力场
引用本文:郑伟,许厚泽,钟敏,员美娟,周旭华.基于时空域混合法利用Kaula正则化精确和快速解算GOCE地球重力场[J].地球物理学报,2011,54(1):14-21.
作者姓名:郑伟  许厚泽  钟敏  员美娟  周旭华
作者单位:1. 中国科学院测量与地球物理研究所动力大地测量学重点实验室, 武汉 430077; 2. 日本京都大学防灾研究所,京都 611-0011; 3. 武汉科技大学应用物理系,武汉 430081; 4. 中国科学院上海天文台,上海 200030
基金项目:中国科学院知识创新工程青年人才重要方向项目,国家自然科学青年基金,湖北省自然科学基金,中国测绘科学研究院地理空间信息工程国家测绘局重点实验室开放基金,中国科学院动力大地测量学重点实验室开放基金,中国科学院测量与地球物理研究所知识创新工程领域前沿项目,湖北省耐火材料与高温陶瓷重点实验室-省部共建国家重点实验室培育基地开放基金
摘    要:为了研究卫星重力梯度技术对中高频地球重力场反演精度的影响,本文基于时空域混合法,利用Kaula正则化反演了250阶GOCE地球重力场.模拟结果表明:第一,时空域混合法是精确和快速求解高阶地球重力场的有效方法;第二,Kaula正则化是降低正规阵病态性的重要方法;第三,基于改进的预处理共轭梯度迭代法可快速求解大型线性方程组...

关 键 词:GOCE  时空域混合法  Kaula正则化  卫星重力梯度  地球重力场
收稿时间:2009-04-20

Accurate and rapid determination of GOCE Earth's gravitational field using time-space-wise-approach associated with Kaula regularization
ZHENG Wei,HSU Hou-Tse,ZHONG Min,YUN Mei-Juan,ZHOU Xu-Hua.Accurate and rapid determination of GOCE Earth's gravitational field using time-space-wise-approach associated with Kaula regularization[J].Chinese Journal of Geophysics,2011,54(1):14-21.
Authors:ZHENG Wei  HSU Hou-Tse  ZHONG Min  YUN Mei-Juan  ZHOU Xu-Hua
Institution:1. Key Laboratory of Dynamic Geodesy, Institute of Geodesy and Geophysics, Chinese Academy of Sciences, Wuhan 430077, China; 2. Disaster Prevention Research Institute, Kyoto University, Uji, Kyoto 611-0011, Japan; 3. Department of Applied Physics, Wuhan University of Science and Technology, Wuhan 430081, China; 4. Shanghai Astronomical Observatory, Chinese Academy of Sciences, Shanghai 200030, China
Abstract:The GOCE Earth's gravitational field complete up to degree and order 250 is recovered based on the time-space domain method associated with Kaula regularization in order to study the influences of satellite gravity gradiometry on the accuracy of medium-high frequency Earth's gravitational field recovery. The simulated results show: Firstly, the time-space domain method is an effective way to accurately and rapidly determine the high-degree Earth's gravitational field; Secondly, the Kaula regularization is one of the key processes to reduce ill condition of normal matrix; Thirdly, the large-scale linear system of equations is solved quickly using the improved pre-conditioned conjugate-gradient iterative approach, and the computing time can be reduced at least 1000 times as compared to the direct least-squares approach; Fourthly, at the degree 250, cumulative geoid height and gravity anomaly errors are 9.295 cm and 0.204 mGal with orbital error 1 cm and gravity gradient error 3×10-12/s2, respectively. Finally, the complementarity of high-accuracy and high-resolution Earth's gravitational field recovery between international GRACE and GOCE missions is demonstrated.
Keywords:GOCE
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