有心力场具有Runge－lenz矢量守恒的条件

The Conditions of Conservation in a Centripetal Force Field with Runge-lenz Vector

证明了只有与距离平方成反比的有心力场才存在Ｒｕｎｇｅ－ｌｅｎｚ矢量守恒，不论它是引力还是斥力．给出了此守恒矢量的一般形式和牛顿万有引力场与库仑力场中的特殊形式．

In this paper the authors show the authors show that there is the conservation of the Runge-lenz vector.R in a centripetal force field only on condition that the magnitude of the force is inversely proportional to the square of the distance γ.The general expression of the Runge-lenz vector is presented. In the Newton's gravitational fieal and coulomb field the expressions of the Runge-lenz vector are given,too.