二次反比引力系统的统一的隆格楞次矢量

摘要

Based on a unified Runge Lenz vector,epecially its tensor product representation for an inversely quadric and centric force system,conservation of this vector is demonstrated by use of an new method.Meanwhile,some properties of the vector are nemerated and proved.In the end,the criteria for different Kepler′s movement are discussed and listed in tables.%本文给出万有引力与静电引力两类二次反比有心力系统的隆格楞次矢量的统一的表达形式，给出了其守恒性的统一的数学证明；尤其是推导出该矢量的一种新的张量表达形式；罗列并证明了该矢量的一些性质，并基于该守恒矢量讨论了质点做各类开普勒运动的 R判据。