论文标题

当保守的角动量大小不同时,重对称顶部的运动是不同的

Motion of the heavy symmetric top when magnitudes of conserved angular momenta are different

论文作者

Tanriverdi, Vedat

论文摘要

对称顶部或陀螺仪可以以不同的初始值开始运动。只能通过查看这些初始值来决定运动类型。例如,在运动中,肌肉速度在开始时可能是负面的,但是顶部的整体进动可能是积极的。或者最初,陀螺仪朝一个方向旋转,但是在以后的阶段,一个方向可以在另一个方向上旋转。另一方面,如果一个人知道不同的属性和运动类型,就可以知道会发生什么。在这项工作中,我们使用运动常数研究了运动类型的分类。我们还研究了动态变量的变化。我们给出了不同类型的运动的示例,并以数值方式解决了它们。

A symmetric top or gyroscope can start its motion with different initial values. One can not decide the motion type only by looking at these initial values. For example, in a motion, precession angular velocity can be negative at the beginning, but the top's overall precession can be positive; or initially, the gyroscope spins in one direction, but in a later stage one can find it while spinning in the other direction. On the other hand, if one knows different properties and types of motion, one can know what will happen. In this work, we have studied the classification of motion type by using constants of motion. We have also studied changes in dynamic variables. We have given examples of different types of motion and solved them numerically.

扫码加入交流群

加入微信交流群

微信交流群二维码

扫码加入学术交流群,获取更多资源