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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
Numerical Simulation on the Free Rotation of The Earth as a Triaxial Rigid Body
【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。
【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,but periodically.The free nutation is especially investigated.
【关键词】 三轴刚性地球;
章动角的变化;
主惯性矩;
【Key words】 triaxial rigid Earth; variation of Eulerian angles; principal moment of inertia;
【Key words】 triaxial rigid Earth; variation of Eulerian angles; principal moment of inertia;
【基金】 2006~2007年武汉大学大学生科研项目
- 【文献出处】 测绘与空间地理信息 ,Geomatics & Spatial Information Technology , 编辑部邮箱 ,2009年02期
- 【分类号】P128.1
- 【被引频次】2
- 【下载频次】112