基于欧拉角的地球自转运动描述

A description of the earth rotation based on Eulerian angles

欧拉角是实现具有公共坐标原点和尺度的2个空间直角坐标系之间坐标转换最方便的方法.基于选择的欧拉角,给出了地球相对空间姿态的运动学方程.同时,基于非旋转原点(NRO)的概念,给出了NRO与欧拉角的关系.理论上证明了采用NRO概念可避免表述2个空间直角坐标系第一轴的困难,这在天文/测地学研究中是有重要意义的.

Eulerian angles is the most convenient way to achieve coordinate conversion between two space cartesian coordinate systems with the communal coordinate origin and scale. Based on the selected Eulerian angles, the kinematical equation for earth rotation relative inertial is given. At the same time, based on the concept of non - rotating origin （NRO） , the relationships between the NRO and the Eulerian angles are given. Theoretically, it is proved that the concept of NRO can avoid the difficulty of expression first axes of two space cartesian coordinate systems, which is meaningful in astronomical and geodetic research.