Consistent post-Newtonian theory for nutation/precession in a realistic Earth model

现实地球模型中一致的后牛顿章动/进动理论

• 批准号: 5456187
• 负责人: Professor Dr. Michael H. Soffel
• 金额: --
• 依托单位: Professur für Astronomie und Lohrmann-Observatorium
• 依托单位国家: 德国
• 项目类别: Research Units
• 财政年份: 2006
• 资助国家: 德国
• 起止时间: 2005-12-31 至 2013-12-31
• 项目状态: 已结题
• 来源: https://gepris.dfg.de/gepris/projekt/5456187?language=en
• 关键词: Consistent; post; Newtonian; theory; nutation

The aim of this project is the construction of the first self-consistent post-Newtonian theory of Earth¿s rotation in the framework of the model of rigidly rotating multipoles. The differences between the relativistic theory to be constructed within this project and the best modern purely Newtonian theories are expected to amount to a few tens of microarcseconds, about ten times larger than the current observational accuracy of the Earth¿s orientation parameters. The new series will be based upon the post-Newtonian formalism of rigidly rotating multipoles that presents a useful generalization of the Newtonian formalism of a rigid Earth. The post-Newtonian dynamical equations of motion will be integrated numerically with suitable values for the model constants (such as the principle moments of inertia) and initial conditions. With a combination of techniques amplitudes and phases of a nutation series will be fitted. Detailed comparisons especially with present highly accurate Newtonian nutation series will be performed. The aimed precession/nutation series can be used at a later stage to construct a relativistic theory of rotation of a non-rigid Earth.

这个项目的目的是在刚性旋转多极模型的框架内建立第一个自洽的后牛顿地球自转理论--S自转理论。在这个项目中将要建立的相对论理论与最好的现代纯粹牛顿理论之间的差异预计将达到几十微角秒，大约比目前地球S定向参数的观测精度大十倍。新的系列将基于刚性旋转多极的后牛顿形式主义，这是对刚性地球的牛顿形式主义的有用概括。后牛顿动力学运动方程将与适当的模型常数(如主惯性矩)和初始条件进行数值积分。通过多种技术的结合，可以对章动序列的振幅和相位进行拟合。将进行详细的比较，特别是与目前高精度的牛顿章动系列的比较。目标岁差/章动序列可以在后期用来建立非刚性地球的相对论自转理论。

项目成果

On tidal tilt corrections to large ring laser gyroscope observations

• DOI: 10.1093/gji/ggt415
• 发表时间: 2014
• 期刊: Geophysical Journal International
• 影响因子: 2.8
• 作者: W. Tian