Classification of Motions in the N Fixed Centers Problem

Astronomy and Astrophysics – Astronomy

Scientific paper

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Scientific paper

Regions of existence of finite motions in the problem of N = 2n fixed
centers are investigated in the case when all gravitating centers have
the same positive mass and are situated on the z-axis at the points
zk = ± kc, c = const, k = 1,...,n. The relevant
analytical formulae are presented for large values of n.

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