On the regular-geometric-figure solution to the N-body problem

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Data

2001-09-01

Autores

Castro, A. S. de [UNESP]
Vilela, C. A. [UNESP]

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Resumo

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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Gravitational effects, Harmonic generation, Oscillators (electronic), Problem solving, Harmonic oscillators, Continuum mechanics

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European Journal of Physics, v. 22, n. 5, p. 487-490, 2001.