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13体问题的平面“蜂窝型”中心构型与线性方程组
Planar central configuration of honeycomb of 13-body problem and linear system
【摘要】 作者运用代数方法研究了平面13体问题:天体分别位于3个同心圆和圆心,而且每个同心圆上的质点位于正多边形的顶点.作者证明了这13个天体构成中心构型的充分必要条件是位于同一个圆上的质点的质量相等.
【Abstract】 In this paper,the authors discuss the planar central configuration of thirteen-body problem by using algebra method.The celestial bodys are located at three concentric circles and the centre of the circles, and take a polygon set shape with regular triangles and regular hexagon as well,then they prove that the thirteen-body forms a central configuration if and only if the celestial bodys in the same circle have equal masses.
【关键词】 n-体问题;
中心构型;
蜂窝;
线性方程组;
【Key words】 n-body problem; central configuration; honeycomb; linear system;
【Key words】 n-body problem; central configuration; honeycomb; linear system;
【基金】 淮阴工学院青年基金(HGC0928);淮阴工学院科研基金(HGB0913)
- 【文献出处】 四川大学学报(自然科学版) ,Journal of Sichuan University(Natural Science Edition) , 编辑部邮箱 ,2011年05期
- 【分类号】P132
- 【下载频次】15