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

Authors
de Castro, AS Vilela, CA
Citation
As. De Castro et Ca. Vilela, On the regular-geometric-figure solution to the N-body problem, EUR J PHYS, 22(5), 2001, pp. 487-490
Citations number
7
Categorie Soggetti
Physics
Journal title
EUROPEAN JOURNAL OF PHYSICS
ISSN journal
01430807 → ACNP
Volume
22
Issue
5
Year of publication
2001
Pages
487 - 490
Database
ISI
SICI code
0143-0807(200109)22:5<487:OTRSTT>2.0.ZU;2-N
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 ot her kinds of interactions beyond the gravitational ones for some special va lues of the parameters of the forces. For the harmonic oscillator, in parti cular, it is shown that the N-body problem is reduced to N one-body problem s.