A HAMILTONIAN THEORY FOR AN ELASTIC EARTH: FIRST ORDER ANALYTICAL INTEGRATION

被引：23

作者：

Getino, Juan ^{[1
]}

Ferrandiz, Jose M. ^{[2
]}

机构：

[1] Fac Ciencias, Dpto Matemat Aplicada Fundamental, Valladolid 47005, Spain

[2] ETS Ingn Ind, Dpto Matemat Aplicada Tecn, Valladolid 47011, Spain

来源：

CELESTIAL MECHANICS & DYNAMICAL ASTRONOMY | 1991年 / 51卷 / 01期

关键词：

Precession; nutation; Chandler's period; elastic Earth;

D O I：

10.1007/BF02426669

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

In this article an approximate analytical integration is performed of the Hamiltonian corresponding to the rotational motion of an Earth whose elastic mantle is deformed by rotation and lunisolar attraction, using Deprit's perturbation method for the first order. Besides the usual terms, this Hamiltonian includes the perturbation of the kinetic energy and the elastic energy produced with the deformation, as well as their causes, the tidal and the centrifugal potential; these new terms have already been studied for the tidal deformation in previous articles (Getino and Ferrandiz, 1990a, 1990b). The effects of the deformation due to the centrifugal potential are studied in this article, following the same method as that used for the tidal deformation. Numerical tables of the periodic perturbations corresponding to the nutation in obliquity and longitude are obtained. As for the secular effects, a theoretical value of 457 days is obtained for Chandler's period.

引用

页码：35 / 65

页数：31

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