|
Title:
|
Central configurations of nested rotated regular tetrahedra
|
|
Author:
|
Corbera Subirana, Montserrat; Llibre, Jaume
|
|
Other authors:
|
Universitat de Vic. Escola Politècnica Superior; Universitat de Vic. Grup de Recerca en Tecnologies Digitals |
|
Notes:
|
In this paper we prove that there are only two different classes of central configura-
tions with convenient masses located at the vertices of two nested regular tetrahedra:
either when one of the tetrahedra is a homothecy of the other one, or when one of
the tetrahedra is a homothecy followed by a rotation of Euler angles =
= 0 and
= of the other one.
We also analyze the central configurations with convenient masses located at the
vertices of three nested regular tetrahedra when one them is a homothecy of the
other one, and the third one is a homothecy followed by a rotation of Euler angles
=
= 0 and = of the other two.
In all these cases we have assumed that the masses on each tetrahedron are equal
but masses on different tetrahedra could be different. |
|
Subject(s):
|
-Matemàtica |
|
Rights:
|
(c) 2007 Elsevier. Published article is available at: http://dx.doi.org/10.1016/j.geomphys.2009.07.004
|
|
Document type:
|
Article
info:eu-repo/acceptedVersion |
|
Published by:
|
Elsevier
|
|
Share:
|
|
