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-5.711×10-22rad/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.
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关键词:
- Hamilton方法 /
- 潮汐形变 /
- 地球自转的长期减慢
Abstract: 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.-
Key words:
- Hamiltonian method /
- Tidal deformation /
- Secular variation
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