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地球的弹性形变能 被引量:1

ELASTIC ENERGY OF DEFORMATION FOR THE EARTH
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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 。 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.
机构地区 南京大学天文系
出处 《天文学报》 CSCD 北大核心 2001年第3期266-271,共6页 Acta Astronomica Sinica
基金 国家九五自然科学基金重点项目 (1 983 3 0 1 0 ) 国家攀登项目 (970 2 3 1 0 0 3 )资助
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 earth model, deformational displacement, elastic energy of deformation
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  • 1Juan Getino,José M. Ferrándiz. A Hamiltonian theory for an elastic earth: Secular rotational acceleration[J] 1991,CELESTIAL MECHANICS AND DYNAMICAL ASTRONOMY(4):381~396
  • 2Juan Getino,José M. Ferrándiz. A Hamiltonian theory for an elastic earth: Elastic energy of deformation[J] 1991,Celestial Mechanics & Dynamical Astronomy(1):17~34
  • 3Juan Getino,José M. Ferrándiz. A Hamiltonian theory for an elastic earth: First order analytical integration[J] 1991,Celestial Mechanics & Dynamical Astronomy(1):35~65
  • 4Juan Getino,Jose M. Ferrándiz. A Hamiltonian theory for an elastic earth: Canonical variables and kinetic energy[J] 1990,Celestial mechanics and dynamical astronomy(3):303~326

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