论文标题

n = 5,6的空间n体问题中的中心配置,质量相等

Central configurations in spatial n-body problem for n = 5, 6 with equal masses

论文作者

Moczurad, Malgorzata, Zgliczynski, Piotr

论文摘要

我们提供了一个计算机辅助证明,内容列出了n = 5和6的空间N体问题中心配置的完整列表,质量相等。对于每种中央配置,我们提供了其欧几里得对称性的完整列表。对于所有足够接近相等质量案例的质量,我们在平面案例中提供了n = 4、5、6、7的平面构型计数,并在空间案例中为n = 4、5、6。

We present a computer assisted proof of the full listing of central configurations for spatial n-body problem for n = 5 and 6, with equal masses. For each central configuration we give a full list of its euclidean symmetries. For all masses sufficiently close to the equal masses case we give an exact count of configurations in the planar case for n = 4, 5, 6, 7 and in the spatial case for n = 4, 5, 6.

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