径向“有效势能”的性质及其应用

Properties and Applications on Radial Effective Potential Energy

推导了质点在有心力作用下在极坐标系中具有的总能量表达式,引出了质点在转动参考系中的有效势能公式,得出了有效势能的取值范围和极值条件,指出了有效势能在平衡点关于矢径的二阶导数的物理意义,利用有效势能的性质巧妙解答两道物理竞赛题.

Deduces the expression of the total energy of a particle in the polar coordinate system under the action of central force,lead to the formula of the effective potential energy of the particle in the rotating reference system,obtains the value range and extreme condition of the effective potential energy,points out the physical significance of the second-order derivative of the effective potential energy about the vector diameter at the equilibrium point,and skillfully solves two physics contest questions by using the properties of the effective potential energy.