N体问题平面正多边形解  

THE CONIC SOLUTIONS TO THE REGULAR POLYGON OF PLANAR N-BODY PROBLEMS

作　　者：刘文中[1] 马利华[2] 徐玢[1] 张同杰[1] 

机构地区：[1]北京师范大学天文学系,北京100875 [2]中国科学院国家天文台,北京100012

出　　处：《北京师范大学学报（自然科学版）》2006年第5期486-488,共3页Journal of Beijing Normal University(Natural Science)

基　　金：国家自然科学基金资助项目(10473002;10373004)

摘　　要：N体问题不仅存在做匀速圆周运动的正多边形解,而且存在非匀速运动的正多边形解,这就是圆锥曲线解.虽然每个质点在各自的圆锥曲线上运动,但是所有的质点却始终保持一个正多边形.Besides the regular polygon solutions of uniform circular motions, the regular polygon solutions of non-uniform motions also exist for N-body problems, which is known as conic solutions. In the conic solutions, each particle moves along its own conic path, but all the particles always make up a regular polygon.

关 键 词：N体问题 正多边形 圆锥曲线解 

分 类 号：O157[理学—数学]