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机构地区:[1]河南理工大学测绘与国土信息工程学院,河南焦作454003 [2]中国科学院国家天文台/云南天文台,昆明650011
出 处:《天文学报》2007年第4期449-455,共7页Acta Astronomica Sinica
基 金:云南省自然科学基金(2005A0010R)资助项目
摘 要:地球形变位移场和重力场的时空变化无论在基础理论研究,还是在地理空间信息建设中都具有重要的意义.地球在各种力学机制的作用下产生了形变,形变又导致地球引力位的变化,即形变附加位或Euler引力位增量.基于矢量球函数的基本理论,讨论了引潮力、负载力和地表应力对地球形变和引力位增量的影响,给出了均匀不可压缩地球模型的Euler引力位增量的具体表达式和Love数的理论关系.可为地球形变的理论研究提供参考和依据.The space-time variations of the earth deformation and gravitational field have important meaning, whether in basic theoretical research or building space geographical in- formation. The earth would come into being deformation under the function of every kind of mechanical mechanisms, this deformation again induced change of gravitational potential, namely, deformable accession potential or Eulerian increments of gravitational potential. This paper had been based on the theory of vector spherical harmonic functions, discussed influences of the tidal generating force, the loading force, the surface and boundary stress on the earth deformation and the incremental gravitational potential. At one time, presented the material expressions Eulerian increment of gravitational potential and the theoretical relationship among Love numbers, for a homogeneous and incompressible deformable earth. This work could provided reference and gist for theoretical research of the earth deformation.
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