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

这个项目的目的是在刚体旋转多极模型的框架下，建立第一个自一致的后牛顿地球自转理论。在这个项目中建立的相对论理论与最好的现代纯牛顿理论之间的差异预计将达到几十微弧秒，大约是目前地球方向参数观测精度的十倍。新系列将基于后牛顿的刚性旋转多极形式，这是对刚性地球的牛顿形式的有用推广。后牛顿运动动力学方程将与模型常数（如主惯性矩）和初始条件的合适值进行数值集成。结合多种技术，可以拟合章动序列的幅值和相位。将进行详细的比较，特别是与目前高度精确的牛顿章动序列的比较。目标进动/章动序列可以在稍后阶段用于构建非刚性地球自转的相对论性理论。

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.