| 地球的弹性形变能 |
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| 引用本文： | 夏一飞,萧耐园.地球的弹性形变能[J].天文学报,2001,42(3):266-271. |
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| 作者姓名： | 夏一飞 萧耐园 |
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| 作者单位： | 南京大学天文系, |
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| 基金项目： | 国家九五自然科学基金重点项目(19833010)和国家攀登项目(970231003)资助 |
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| 摘 要： | 采用较完善的地球模型PREM，通过求解弹性体的基本运动方程，得到形变位移矢量，由此分别计算出因日月引潮力势和地球自转离心力势引起的地球的弹性形变能，它将为弹性地球运动的Hamilton表达式提供摄动项的量级估计，并将是理论上探讨地月系演化的一个重要方面。
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| 关 键 词： | 地球模型 形变位移 弹性形变能 日月引潮力势 自转离心力势 |
| 修稿时间： | 2001年11月28 |
ELASTIC ENERGY OF DEFORMATION FOR THE EARTH |
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| XIA Yi,Fei,XIAO Nai,Yuan.ELASTIC ENERGY OF DEFORMATION FOR THE EARTH[J].Acta Astronomica Sinica,2001,42(3):266-271. |
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| Authors: | XIA Yi Fei XIAO Nai Yuan |
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| Abstract: | On adopting the relatively perfect Earth model PREM, the deformational displacement vector are obtained through resolving the fundamental differential equations of an elastic body; then, the elastic energies of deformation caused respectively by the luni solar tide generating potential and the centrifugal potential of the Earth rotation are computed. The results provide a magnitude evaluation of the perturbation terms to the Hamiltonian expressions in the study of dynamics of the elastic earth. Furthermore, if the elastic energies of deformation are calculated in consideration of the viscosity of the earth mantle, it will be an important aspect for the theoretical research of the evolution of the Earth Moon system. |
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| Keywords: | earth model deformational displacement elastic energy of deformation |
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