位Love数与位移Love数之间的函数关系的注释  

An investigation of functional relationship between potential and displacement Love numbers

作　　者：卢小平[1,2] 张捍卫[2] 梁洪友[2] 邓安健[2] 

机构地区：[1]矿山空间信息技术国家测绘局重点实验室,河南焦作454003 [2]河南理工大学测绘与国土信息工程学院,河南焦作454003

出　　处：《测绘科学》2009年第4期36-38,共3页Science of Surveying and Mapping

基　　金：云南省自然科学基金资助项目(2005A0010R);矿山空间信息技术国家测绘局重点实验室开放基金资助项目(klm200801);国家重点基础研究发展计划资助(编号2009CB226100)

摘　　要：固体潮Love数是表示引潮力与地球形变之间关系的参数,在地球科学中有重要应用价值。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。Grafarend等基于矢量球函数的基本理论,在地球密度球对称情况下,给出了形变地球的Euler引力位增量的表达式,并利用Love-Shida假设,给出了位和位移Love数之间的函数关系。本文重新研究了Grafarend等(1997)的工作,在指出其推导过程中的一处错误后,修正了位和位移Love数的之间的函数关系。The solid tide Love number is the parameter that expresses the relations between tidal generating gravity potential and the earth deformation. It has great value whether in basic theoretical research or building space geographical information in geosciences. The earth will come into being deformation under the function of all kinds of mechanical mechanism, while the deformation induces the change of gravitational potential, namely, accessional deformation potential or Euler increments of gravitational potential. On the basis of the basic theory on vector spherical function, Grafarend, etc. have given the incremental expressions of the Euler gravitational potential of deformable earth, and put forward the functional relations between potential and displacement Love number by means of the hypothesis of Love-Shida. In this paper, the authors re-examine the study of Grafarend and his fellows, amendment the function relationship between the potential and displacement Love number while pointing out one mistake of Grafarend＇s Deduction.

关 键 词：Euler引力位的增量 位Love数 位移Love数 

分 类 号：P223[天文地球—大地测量学与测量工程]