On the regular-geometric-figure solution to the N-body problem
Classical Physics
2009-11-07 v1 General Physics
Abstract
The regular-geometric-figure solution to the -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 -body problem is reduced to one-body problems.
Cite
@article{arxiv.physics/0107004,
title = {On the regular-geometric-figure solution to the N-body problem},
author = {Antonio S. de Castro and Cristiane A Vilela},
journal= {arXiv preprint arXiv:physics/0107004},
year = {2009}
}
Comments
To appear in Eur. J. Phys. (5 pages)