关于N体问题的正则几何图形解
On the regular-geometric-figure solution to the N-body problem
摘要：
给出了$N$ -体问题的正则几何图形解法。使用牛顿形式主义，而不求助于更复杂的旋转坐标系。对于引力以外的其他类型的相互作用，当力的参数取某些特殊值时，也会出现这种构型。对于谐振子，特别是，它表明，$N$体问题减少到$N$单体问题。
英文摘要：
The regular-geometric-figure solution to the $N$-body problem is presented in a very simple way. The Newtonian formalism is used without resorting to a more involved rotating coordinate system. Those configurations occur for other kinds of interactions beyond the gravitational ones for some special values of the parameters of the forces. For the harmonic oscillator, in particular, it is shown that the $N$-body problem is reduced to $N$ one-body problems.
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