【摘要】 在张世清、周青等学者有关研究的基础上,证明了一类以六边形为基底、8-体双金字塔构型在任意给定质量比的前提下构成中心构型的存在惟一性;同时给出了该类构型能够构成中心构型的径高比(基底外接圆半径与半高的比)的取值范围为(3/3,1.099600679).更多还原

【Abstract】 Based on the work of Zhang Shiqing and Zhou Qing, for any given ratio of masses, the existence and uniqueness of a class of double pyramidal central configurations with hexagon base in 8-body problems is proved. At the same time, the range of the ratio between radius and half-height about configurations is obtained, which being in interval (3/3,1.099 600 679), and for any number τ∈(3/3,1.099 600 679) the configuration with ratio τ can form a central configuration and form a uniquely central configuration.更多还原