用Hamilton方法计算滞弹地球自转的潮汐变化  

CALCULATION OF THE TIDAL VARIATIONS OF THE VISCOUS ELASTIC EARTH'S ROTATION WITH THE HAMILTONIAN METHOD

作　　者：萧耐园[1] 夏一飞[1] 成灼[2] 

机构地区：[1]南京大学天文系,南京210093 [2]中国科学院紫金山天文台,南京210008

出　　处：《天文学报》1998年第2期131-140,共10页Acta Astronomica Sinica

基　　金：国家攀登项目;国家自然科学基金

摘　　要：在日月引潮力势作用下地球产生弹性形变．地幔粘滞性子致这个形变对于引潮力滞后，成为引起地球自转长期减慢的原因之一．地幔滞弹性也使有效洛夫数k增加，并使自转变化的周期项位相滞后，即产生反常位相项．本文首先用Hamilton方法计算了地球的形变．然后考虑到地幔的滞弹性，计算了在日月引潮力作用下的地球自转长期减慢和滞弹性对周期（带谐）变化的影响．Under the effect of the luni-solar tide-generating potential the earth deforms. The viscous elasticity of its mantle causes a lag in this deformation behind the tidal force,which contributes to the secular deceleration of the earth's rotation. Meanwhile, the viscous elasticity increases the effective hove number k and introduces a delay in the Phase to each periodic term of the rotation, i.e. it produces out-of-phase terms. In this paper, the Hamiltonian method is applied to calculate the earth's deformation.Then, taking the viscous elasticity into account, we calculate the secular deceleration and its effect on the periodic (zonal) variahons of the earth's rotation.

关 键 词：Hamilton方法 潮汐形变 地球自转变化 地幔滞弹性 

分 类 号：P183.5[天文地球—天文学] P183.31