On the regular-geometric-figure solution to the N-body problem
经典物理
2009-11-07 v1 综合物理
摘要
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.
引用
@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}
}
备注
To appear in Eur. J. Phys. (5 pages)