科研之友
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摘要
In this paper we study numerically a new type of central configurations of the 3n-body problem with equal masses which consist of three n-gons contained in three planes z = 0 and z = +/-beta not equal 0. The n-gon on z = 0 is scaled by a factor a and it is rotated by an angle of pi/n with respect to the ones on z = +/-beta. In this kind of configurations, the masses on the planes z = 0 and z = beta are at the vertices of an antiprism with bases of different size. The same occurs with the masses on z = 0 and z = -beta. We call this kind of central configurations double-antiprism central configurations. We will show the existence of central configurations of this type.
- 出版日期2013-4
