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

Castro, A. S. de [UNESP]Vilela, C. A. [UNESP]2014-05-272014-05-272001-09-01European Journal of Physics, v. 22, n. 5, p. 487-490, 2001.0143-0807http://hdl.handle.net/11449/66572The 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.487-490engGravitational effectsHarmonic generationOscillators (electronic)Problem solvingHarmonic oscillatorsContinuum mechanicsOn the regular-geometric-figure solution to the N-body problemArtigo10.1088/0143-0807/22/5/304WOS:000172248300004Acesso restrito2-s2.0-00354436265811700083195480