【摘要】 研究用代数方法对平面四体中心构型分类的相关问题展开讨论,得到了一些新的结论:对于正质量天体,菱形和正方形是平行四边形中心构型;对于任意非零质量的天体满足θ∈(0.97578,0.97579),则平行四边形为平面四体中心构型。更多还原

【Abstract】 In this paper,we discuss category about planar central configuration of four-body problems by using algebra method,and draw some new conclusions:for the positive mass points,the central configuration of parallelogram must be rhombus or square;for the arbitrary none-zero mass points,parallelogram is the central configuration if it satisfies θ∈(0.97578,0.97579).更多还原