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三轴刚性地球自由旋转欧拉角变化数值模拟研究
引用本文:陈光华.三轴刚性地球自由旋转欧拉角变化数值模拟研究[J].测绘与空间地理信息,2009,32(2).
作者姓名:陈光华
作者单位:武汉大学,测绘学院,湖北,武汉,430079
基金项目:武汉大学大学生科研项目 
摘    要:假定地球是一个三轴刚性体,在Euclid空间中做自由旋转.在设定主惯性矩A小于B小于C的情况下,求解欧拉运动方程,得到数值解.计算结果表明:地球在除了自转和自由进动之外,同时还存在着自由章动.章动角会随着时间做周期性变化.重点讨论的是章动角的变化.

关 键 词:三轴刚性地球  章动角的变化  主惯性矩

Numerical Simulation on the Free Rotation of The Earth as a Triaxial Rigid Body
CHEN Guang-hua.Numerical Simulation on the Free Rotation of The Earth as a Triaxial Rigid Body[J].Geomatics & Spatial Information Technology,2009,32(2).
Authors:CHEN Guang-hua
Institution:School of Geodesy and Geomatics;Wuhan University;Wuhan 430079;China
Abstract:The Earth is taken as a triaxial rigid body,which rotates freely in the Euclidian space.The starting equations are the Euler dynamic equations,with A smaller than B and B smaller than C.The Euler equations are solved,and the numerical results are provided.Calculations show that,besides the self-rotation of the Earth and the free Euler procession of the Earth's rotation,there exists the free nutation:the nutation angle,the angle between the Earth's momentary rotation axis and the mean axis,changes with time,...
Keywords:triaxial rigid Earth  variation of Eulerian angles  principal moment of inertia  
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