Sensitivity Analysis of the Non-Linear Liouville Equation
Sensitivity Analysis of the Non-Linear Liouville Equation
复制标题
非线性Liouville方程的敏感性分析
DOI：
10.1007/3-540-27432-4_102
复制
发表时间：
2005
期刊：
影响因子：
--
通讯作者：
H. Kutterer
中科院分区：
文献类型：
--
作者：
F. Seitz;H. Kutterer
DGFI开发了非线性陀螺模型DyMEG，以研究磁致和引力致极移与地球自由摆动，特别是钱德勒振荡之间的相互作用。该模型基于三轴惯性椭圆体。它不需要任何关于钱德勒振荡的振幅、相位和周期的明确信息。该模型从流变学和几何学参数出发，再现了地球自由极移的特征。因此，传统的解析解不适用，将刘维方程作为初值问题进行数值求解。陀螺仪由一致的大气和海洋角动量驱动。质量再分布通过转动变形影响自由转动。为了评估数值结果对初始值和流变学或几何学输入参数（如Love数和地球的主惯性矩）的依赖性，进行了灵敏度分析。研究表明，极潮Love数k2是最关键的模型参数.该解决方案对其他提到的参数的依赖是边际。
The non-linear gyroscopic model DyMEG has been developed at DGFI in order to study the interactions between geophysically and gravitationally induced polar motion and the Earth’s free wobbles, in particular the Chandler oscillation. The model is based on a triaxial ellipsoid of inertia. It does not need any explicit information concerning amplitude, phase, and period of the Chandler oscillation. The characteristics of the Earth’s free polar motion are reproduced by the model from theological and geometrical parameters. Therefore, the traditional analytical solution is not applicable, and the Liouville equation is solved numerically as an initial value problem. The gyro is driven by consistent atmospheric and oceanic angular moment. Mass redistributions influence the free rotation by rotational deformations. In order to assess the dependence of the numerical results on the initial values and theological or geometrical input parameters like the Love numbers and the Earth’s principal mo- ments of inertia, a sensitivity analysis has been per- formed. The study reveals that the pole tide Love number k 2 is the most critical model parameter. The dependence of the solution on the other mentioned parameters is marginal.