对有心力场的探究

Research on the Field of Central Force

质点在运动过程中受到的某个力始终通过某固定点,则该力称为有心力,固定点称为力心。一直以来,人们对有心力场的研究备受关注。本文分析了极坐标系下有心力场中质点的受力情况,给出径向和横向的动力学方程。本文通过回复力和有效势能对质点在有心力场中的圆周轨道运动情况做稳定性分析,并对结果进行分类讨论。

A force that a particle receives during its movement always passes through a fxed point, which is called a central force, and a fxed point is called a force center. For a long time, people have paid close attention to the study of intentional force feld. In this paper, the force of a particle in a central force feld in polar coordinate system is analyzed, and the radial and lateral dynamic equations are given. In this paper, the stability of the circular orbit motion of a particle in a central force feld is analyzed by restoring force and effective potential energy, and the results are classifed and discussed.