摘要
本文运用代数、分析的方法研究了八个天体构成正四面体套中心构型的充要条件,得出每个四面体上四个天体的质量相等,并证明了对内外正四面体任意质量比,该中心构型是唯一的。
In this paper we mainly use the algebraic and analytical methods to study the necessary and sufficient conditions for the existence of nested regular tetrahedron central configurations for the 8-body problem.The masses on each regular tetrahedron should be the same,and furthermore,we get the uniqueness of the central configuration for any positive mass ratio between those two regular tetrahedrons.
作者
邓春华
苏霞
DENG Chun-hua;SU Xia(Faculty of Mathematics and Physics,Huaiyin Institute of Technology,Huai'an,Jiangsu 223003)
出处
《牡丹江大学学报》
2019年第6期101-104,共4页
Journal of Mudanjiang University
基金
国家自然科学基金青年基金(11703006)
淮阴工学院科研基金(15HGZ014,17HGZ004)
关键词
8-体问题
中心构型
正四面体套
8-body problem
central configuration
nested regular tetrahedron
