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内核地球自转动力学理论的研究进展(Ⅳ)——内核自转动力学方程
引用本文:张捍卫,许厚泽,王爱生.内核地球自转动力学理论的研究进展(Ⅳ)——内核自转动力学方程[J].地球物理学进展,2006,21(4):1139-1144.
作者姓名:张捍卫  许厚泽  王爱生
作者单位:1. 中国科学院 国家天文台/云南天文台,昆明 650011;2. 徐州师范大学物理学系,徐州 221116;3. 中国科学院 测量与地球物理研究所,武汉 430077
基金项目:江苏省高校自然科学基金项目(06KJB420111)资助
摘    要:本文是序列文章的第四篇,其内容包括:基于连续介质力学的基本理论,给出了固体外核(SIC)自转的动力学方程,考虑了地球的自引力、液核对内核边界的压力和二阶外部引潮力位对SIC自转的影响,并在O(mε)的量级上给出了其实用的表达式.本文的理论推导更加严密和细致,改正了文献〔1〕在推导过程中的某些错误(例如:(B39)、(B44)和(B59c)式).本文的工作是对文献〔1〕有关理论的扩展和改进,对进一步研究内核地球自转的动力学理论是非常重要的.

关 键 词:地球自转  固体外核  角动量方程  力矩
文章编号:1004-2903(2006)04-1139-06
收稿时间:2005-11-10
修稿时间:2006-03-20

The researchful progress on dynamical theory of Inner core Earth rotation (Ⅳ)——The rotational dynamical equation on inner core of the Earth
ZHANG Han-wei,XU Hou-ze,WANG Ai-sheng.The researchful progress on dynamical theory of Inner core Earth rotation (Ⅳ)——The rotational dynamical equation on inner core of the Earth[J].Progress in Geophysics,2006,21(4):1139-1144.
Authors:ZHANG Han-wei  XU Hou-ze  WANG Ai-sheng
Institution:1. National Astronomical Observatories / Yunnan Observatory, Chinese Academy of Sciences, Kunming 650011, China 2. Department of Physics, Xuzhou normal university, Xuzhou 221116, China ; 3. Institute of Geodesy and Geophysics, Chinese Academy of Sciences, Wuhan 430077, China
Abstract:This paper is the fourth section of the serial articles, it’s primary contents included: based on the basic theory of the continuous medium mechanics, we have given rotational dynamical equations of the solid inner core of the Earth (SIC), taken into account influence of the self\|gravitational potential, of the fluid pressure acting on the instantaneous surface of the SIC, and of the degree 2 tesseral component of the tidal generating potential on the rotation of SIC, and has presented their practical expression, in order of magnitude of O(mε). Our theoretical deduction is more rigorous and aborative than deduction in literature \1\], and corrected the some errors in the deducting process of literature \1\] (for example, the formulae(B39),(B44) and (B59c)). This paper is an extension and sharpening to theory in literature \1\], and is very importance to more studying dynamical theory on the inner core Earth’s rotation.
Keywords:the Earth rotation  the solid inner core  the equation of angular momentum  the torque
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