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Solving a Problem of Rotary Motion for a Heavy Solid Using the Large Parameter Method
Advances in Astronomy ( IF 1.6 ) Pub Date : 2020-09-01 , DOI: 10.1155/2020/2764867
A. I. Ismail 1, 2
Affiliation  

The small parameter method was applied for solving many rotational motions of heavy solids, rigid bodies, and gyroscopes for different problems which classify them according to certain initial conditions on moments of inertia and initial angular velocity components. For achieving the small parameter method, the authors have assumed that the initial angular velocity is sufficiently large. In this work, it is assumed that the initial angular velocity is sufficiently small to achieve the large parameter instead of the small one. In this manner, a lot of energy used for making the motion initially is saved. The obtained analytical periodic solutions are represented graphically using a computer program to show the geometric periodicity of the obtained solutions in some interval of time. In the end, the geometric interpretation of the stability of a motion is given.

中文翻译:

用大参数方法解决重固体的旋转运动问题

小参数方法用于解决重固体,刚体和陀螺仪的许多旋转运动,以解决不同的问题,这些问题根据惯性矩和初始角速度分量的某些初始条件将它们分类。为了实现小参数方法,作者已经假设初始角速度足够大。在这项工作中,假定初始角速度足够小以实现大参数而不是小参数。以这种方式,节省了用于最初进行运动的大量能量。使用计算机程序以图形方式表示获得的分析周期解,以显示在一定时间间隔内获得的解决方案的几何周期性。到底,
更新日期:2020-09-01
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