自转微椭、非均匀地球的潮汐变形

鉴于当前国际上关于自转微椭、非均匀地球（ＳＲＥＨＩ）的固体潮汐响应的结果之间存在明显分歧，特别是Ｌｏｖｅ数ｋ及重力潮汐因子δ对纬度的依赖情况截然不同，本文借助于摄动法与张量正则分量的广义球谐展开建立起来的侧向非均匀、自转微椭、粘弹地球的潮汐模拟理论，计算了ＳＲＥＨＩ地球的潮汐形变及相应的引力位变化．结果表明，描述径向位移的Ｌｏｖｅ数的纬度依赖部分系数ｈ＋与球对称部分ｈ０＋δｈ０之比不大于１．０‰；对Ｏ１波为０．２７‰；对Ｍ2波为０．１９‰；对Ｍ3波为０．４９‰；对Ｍ4波为０．８８‰．描述地球引力位变化的Ｌｏｖｅ数的纬度依赖部分系数ｋ＋与球对称部分ｋ０＋δｋ０之比小于３．０‰；对Ｏ１波为２．６７‰；对Ｍ２波为１．８９‰；对Ｍ３波为２．２４‰；对Ｍ４波为２．７０‰．

TIDAL DEFORMATION OF A SELF-ROTATING,ELLIPTICAL, HETEROGENEOUS EARTH

At present, there are obvious difference between the results given by different authors about the tidal response of a self-rotating, elliptical,heterogeneous earth （SREHI）. In particular, the latitude dependece of Love number and tidal gravimetric factor given by different authors are quite different.D this work,we use our tidal modeling theory for a laterally heterogeneous,self-rotating, elliptical, viscoeiastic earth to investigate ,as a particular case,the tidal deformation and gravitational potential variation of the SREHI earth. The results indicate that the ratio between Love number h+,which describe the latitude dependence of th radial displacement ,and the spherical symmetric part of Love number,h0+ δh0,are smaller than 0‰ :0.27‰ for O1 wave, 0.19‰ for M2 wave, 0.49‰ for M3 wave,0.88‰ for M4 wave;The ratio between the Love number k+, which depict the latitude dependence of potential variation due to deformation,and the spherical symmetric part of Lovenumber,k0+δk0, are smauer than 3.0‰:2.67‰ for O1 wave; 1.89‰ for M2 wave; 2.24‰ for M3 wave, 2.70‰ for M4 wave.