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On the regular-geometric-figure solution to the \(N\)-body problem - MaRDI portal

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On the regular-geometric-figure solution to the \(N\)-body problem

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Publication:2785094

DOI10.1088/0143-0807/22/5/304zbMATH Open1011.70012arXivphysics/0107004OpenAlexW1984038513MaRDI QIDQ2785094

Author name not available (Why is that?)

Publication date: 24 April 2002

Published in: (Search for Journal in Brave)

Abstract: 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.


Full work available at URL: https://arxiv.org/abs/physics/0107004



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