等质量5卫星中心构型模型与计算  

Model and Calculation of the Central Configuration for Five Identical Satellites

作　　者：陈剑 李培茂 张晓勇[3] 谢馥励 毕鹏 CHEN Jian;LI Peimao;ZHANG Xiaoyong;XIE Fuli;BI Peng(School of Mathematics and Physics,Southwest University of Science and Technology,Mianyang 621010,Sichuan,China;Mianyang Cigarette Factory,Mianyang 621000,Sichuan,China;School of Manufacturing Science and Engineering,Southwest University of Science and Technology,Mianyang 621010,Sichuan,China)

机构地区：[1]西南科技大学数理学院,四川绵阳621010 [2]四川中烟工业有限责任公司绵阳卷烟厂,四川绵阳621000 [3]西南科技大学制造科学与工程学院,四川绵阳621010

出　　处：《西南科技大学学报》2022年第4期93-99,共7页Journal of Southwest University of Science and Technology

摘　　要：利用关键函数性质结合对称模型方法及计算机仿真建模,从特殊到一般,研究了等质量对径5卫星中心构型。首先给出了n颗卫星的中心构型模型,接着针对等质量5卫星,分别研究了相邻卫星对径和相间卫星对径两种情况,并且证明了两种情况下等质量5卫星中心构型模型都无解,即不存在等质量对径5卫星中心构型。Utilizing the properties of key function to combine with the symmetry model method and computer simulation modeling,from special to general,the central configurations of five equal mass satellites are studied with two satellites which are diametrically opposite.First,the models of the central configuration are obtained in two cases according to whether these two diametrically opposite satellites are consecutive or alternate.Then,it is proved that the models have no solution in the above two cases,which means that when two of the five satellites are diametrically opposite,there exists no central configurations of five equal mass satellites.

关 键 词：N体问题 中心构型 5卫星中心构型 对径 

分 类 号：O29[理学—应用数学]