| 地球扁率在地质历史上的变化下限 |
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| 引用本文： | 王君恒,李新均,张煜颖,王晓滨,王静远.地球扁率在地质历史上的变化下限[J].地球物理学报,2013,56(3):842-847. |
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| 作者姓名： | 王君恒 李新均 张煜颖 王晓滨 王静远 |
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| 作者单位： | 1. 地下信息探测技术与仪器教育部重点实验室, 北京 100083;
2. 中国地质大学(北京)地球物理与信息技术学院, 北京 100083;
3. 密西根大学 安娜堡, 美国 48109 |
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| 摘 要： | 为研究地球形状的长期变化,将地球假设为弹性椭球体,根据弹性动力学理论导出地球的扁率下限公式,扁率与地球的平均密度ρ、引力加速度g、自转角速度ω、平均半径R、弹性模量E、泊松比v相关.将新星云假说下地质历史时期半径、质量和角速度变化值代入公式计算出各地质历史时期地球扁率值,作为地球扁率变化值的下限值.地球的扁率自地球形成以来总体变化趋势是在减小.
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| 关 键 词： | 地球扁率下限 平均密度 引力加速度 自转角速度 平均半径 |
| 收稿时间： | 2012-04-06 |
The lower limit of variation of the Earth's oblateness in geological epoch |
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| WANG Jun-Heng
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LI Xin-Jun
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ZHANG Yu-Ying
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WANG Xiao-Bin
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WANG Jing-Yuan.The lower limit of variation of the Earth's oblateness in geological epoch[J].Chinese Journal of Geophysics,2013,56(3):842-847. |
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| Authors: | WANG Jun-Heng LI Xin-Jun ZHANG Yu-Ying WANG Xiao-Bin WANG Jing-Yuan |
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| Institution: | 1. Key Laboratory of Geo-detection, Ministry of Education, Beijing 100083, China;
2. School of Geophysics and Information Technology, China University of Geosciences, Beijing 100083, China;
3. University of Michigan Ann Arbor 48109, USA |
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| Abstract: | A variation in the earth's shape is one of the basic problems of earth evolution. A variation in the earth's oblateness can be used to understand the variation of the earth's shape.Assuming the Earth is flexible ellipsoid, according to the theory of elastic dynamics, we derived the formula for minimum oblateness of the Earth and conclude that oblateness of the Earth is a function of the average density of the Earth ρ, the gravitational acceleration g, rotation rate ω, average radius R, elastic modulus E and Poisson's ratio v. Apply parameters such as the radius, mass, and the change in angular velocity of the Earth, which are based on the new nebular hypothesis, into the formula to calculate the lower limit of oblateness of the Earth in different geological epoch. The oblateness of the Earth has signs of reduction in its magnitude since the formation of the Earth. |
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| Keywords: | Earth's oblateness lower limit Gravitational acceleration Rotation angular velocity Average density Average radius |
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