小行星群和Kirkwood空隙分布特征的探讨

Investigation of distribution characteristics of asteroid groups and Kirkwoodgaps

引进小行是径向波函数Ｒｎｌ（ｒ）及划分小行星族的参考轨道根数（和）．证明了小行星轨道半长径分布的３／２、４／３和１／１通约处是小行星径向概率最大的位置，而概率的零点与小行星轨道半长径分布的Ｋｉｒｋｗｏｏｄ空隙相对应．零点平移的位置，其平均运动的通约数为４／１、７／２、３／１、５／２、７／３、２／１．

The radius wave function Rnl(r)of asteroid is introduced, and the reference orbital elements(a, e and i) of the family of asterods are divided. It is proved that the semi-major axis distribution of asteroid orbital 3/2, 4/3 and 1/1 the commensurable place in the position of asteroid the biggest radius probability, but the zero point of probability corresponds with Kirkwood gaps of distribution of the semi-major axes of asteroids. The position of zero-point translation, its commensurable number of mean motion is 4/1, 7/2, 3/1, 5/2, 7/3, 2/1.