摘要
整体地球自转动力学的理论研究一般是在旋转对称模型基础上进行的,并得到了一系列与观测相符合的结论.但实际上地球是一个非旋转对称的椭球体,甚至是梨形椭球体.因此,三轴地球模型的自转理论研究应该是具有一定意义的.在所有量保留到极移平方量级而忽略其更小量级的情况下,给出了三轴液核地球自转的动力学方程.研究指出,在此精度上三轴液核地球自转的动力学方程是线性耦合的,并得到了三轴液核地球自转的4个本征频率.同时指出,如果在推导过程中保留更小量级,则液核地球自转动力学方程是复杂的非线性方程组,它没有解析解.
In general,the research on Earth rotational dynamical theory is based on the model of its rotary symmetry,and the theory obtained a series of conclusions that were coincident with obse rvation.In practice,the earth is an non-rolling-symmetry ellipsoid,so much as is a ellipsoid as a pear.Therefore,the theoretical researches on triaxial Earth model should have definite meanings.This paper,in the instance of held magnitude of square of the polar motion and ignored lesser magnitude for all parameter in deductive process,presented dynamical equations for the triaxial fluid-core rotation of the Earth.The resrlts showed that,the these dynamical equations is linearity and coupling in the precision mentioned above,moreover,obtained four normal frequencies of the triaxial fluid-core rotation of Earth.At one time,it was indicated that if held lesser magnitude in the deductive process,then the dynamical equation for fluid core Earth rotation will be a set of complicated nonlinear equation,and there is not analytic resolution for the triaxial fluid core Earth mode.
出处
《云南大学学报（自然科学版）》
CAS
CSCD
北大核心
2010年第3期299-303,共5页
Journal of Yunnan University(Natural Sciences Edition)
基金
河南省科技创新人才杰出青年基金资助(094100510023)
地球空间环境与大地测量教育部重点实验室测绘基础研究基金资助(0702)
河南省基础与前沿研究项目资助(082300460140)
关键词
三轴地球模型
液核
本征频率
the triaxial Earth model
fluid core of the earth
normal frequency.
