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用Hamilton方法研究地球自转的长期减慢 被引量:1

A STUDY OF THE SECULAR VARIATION OF THE RATE OF THE EARTH'S ROTATION BY MEANS OF A HAMILTONIAN METHOD
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摘要 本文用Hamilton方法研究了弹性地球在日月引潮力势作用下产生形变后对地球自转速率的影响,考虑了潮汐形变的相位延迟,选择地球模型PREM参数进行了计算,理论上求得地球自转长期减慢值为-5.711×10(-22)rad/s2,与观测结果符合很好.结果表明,对地球自转长期减慢起主要影响是扇谐潮,由月亮引潮力势产生的影响远比太阳重要. In this article, the secular rotational varitation of the Earth whose elastic mantle isdeformed by gravitational attraction of the Moon and the Sun is studied by means ofa Hamiltonian method. The expression of the tidal potential with phase lag is given.The value of the secular deceleration of the Earth's rotation is obtained for the Earthmodel PREM. It theoretically is -5.7×10 22 rad / s2, which agrees perfectly with thelatost observational results. The results also show that the principle contribution to thisdeceleration is the sectorial tide corresponding to the term m = 2, and that thedeformation produced by the Moon is much more importan than that due to the Sun.
出处 《空间科学学报》 CAS CSCD 北大核心 1997年第3期220-226,共7页 Chinese Journal of Space Science
基金 国家自然科学基金
关键词 Hamilton方法 潮汐形变 地球自转的长期减慢 Hamiltonian method, Tidal deformation, Secular variation
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  • 1Juan Getino,José M. Ferrándiz. On the effect of the mantle elasticity on the earth’s rotation[J] 1995,CELESTIAL MECHANICS AND DYNAMICAL ASTRONOMY(2):117~180
  • 2Juan Getino,José M. Ferrándiz. A Hamiltonian theory for an elastic earth: Secular rotational acceleration[J] 1991,CELESTIAL MECHANICS AND DYNAMICAL ASTRONOMY(4):381~396
  • 3Juan Getino,José M. Ferrándiz. A Hamiltonian theory for an elastic earth: Elastic energy of deformation[J] 1991,Celestial Mechanics & Dynamical Astronomy(1):17~34
  • 4Juan Getino,José M. Ferrándiz. A Hamiltonian theory for an elastic earth: First order analytical integration[J] 1991,Celestial Mechanics & Dynamical Astronomy(1):35~65
  • 5F. Mignard. Multiple expansion of the tidal potential[J] 1978,Celestial Mechanics(3):287~294
  • 6Hiroshi Kinoshita. Theory of the rotation of the rigid earth[J] 1977,Celestial Mechanics(3):277~326

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