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中文摘要：
在时变地球主惯性矩情形，采用数值方法求解了自由Euler动力学方程和运动学方程。结果表明，地球存在周期约为304．5d的自由章动；旋转速度的三个分量均出现周期性的增大和减小；地球主惯性矩A、B、C的时变性导致Euler周期产生复杂的波动，特别是ω3（自转速率）存在周期为22a、14a、8a、4a、2a、周年以及更短周期的波动，这表明A、B、C的时变性导致了10a尺度、周年以及更短周期的日长变化。
英文摘要：
Reinvestigation of the Earth rotation is of scientific significance since the principle moments of inertia of the Earth, A, B, C are not equivalent with each other, and they are time-dependent. Numerical calculations of Euler＇s dynamic equations are provided when the temporal nature of the moments of inertia is taken into account. The results show that there is a free wobble with a period of 304. 5 days; the three components of the angular velocity increase and decrease periodically; the variations of A, B, C lead to complex fluctuations of the Euler period, and especially, ω3 has oscillation periods 22, 14, 8, 4, 2 and 1 years as well as even shorter periods. In another word, the decadal, annual and even shorter-period fluctuations of length of day are closely related with the variations of A, B, C.
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