研究Chandler摆动的一个随机激发模型  

A STOCHASTIC EXCITATION MODEL FOR STUDY OF THE CHANDLER WOBBLE

作　　者：黄淑亚[1,2] 廖新浩[1,2] 朱元兰[1,2] 

机构地区：[1]中国科学院上海天文台 [2]中国科学院国家天文台北京100012

出　　处：《天文学报》2001年第3期259-265,共7页Acta Astronomica Sinica

基　　金：国家自然科学基金 (1 983 3 0 3 0 ;1 9973 0 1 1 )

摘　　要：基于随机运动激发了Chandler摆动的假设 ,提出一个研究Chandler摆动的随机非线性模型 ,它是由一个随机性阶梯函数和一个具有阻尼的线性谐振子的Euler中心差分格式混合而成 .研究此模型中各个参数与Chandler摆动振幅的关系 .通过对基于实测资料获得的有效大气角动量时间序列的统计分析 ,初步发现其中含有随机噪声成份 ,它可以激发目前观测到的Chandler摆动振幅的 2 8%— 40 % .最后 。Based on the hypothesis that the Chandler wobble is excited by stochastic motions, a nonlinearly stochastic model for study of the Chandler wobble is proposed, which is composed of a Heaviside's step function with stochasticity and a Eulerian centred differential scheme for linear oscillator with drag. The relation among the amplitude of the Chandler wobble and parameters in the model is studied from both aspects of theoretical analysis and numerical computation. The statistical analysis for the time series of effective atmospheric angular momentum depended on observation shows that the stochastic component can excite 28 40% of the amplitude of the Chandler wobble. Finally, some discussions are made for the hypothesis of stochastic excitation.

关 键 词：CHANDLER摆动 随机激发 有效大气角动量 阶梯函数 线性谐振子 地球 

分 类 号：P139[天文地球—天体力学]