|
Title:
|
Double-Antiprism Central Configurations of the 3n-Body Problem
|
|
Author:
|
Corbera Subirana, Montserrat; Llibre, Jaume
|
|
Other authors:
|
Universitat de Vic. Escola Politècnica Superior; Universitat de Vic. Grup de Recerca en Tecnologies Digitals |
|
Notes:
|
Abstract In this paper we study numerically a new type of central configurations
of the 3n-body problem with equal masses which consist of three n-gons contained
in three planes z = 0 and z = ±β = 0. The n-gon on z = 0 is scaled by a factor α
and it is rotated by an angle of π/n with respect to the ones on z = ±β. In this kind
of configurations, the masses on the planes z = 0 and z = β are at the vertices of
an antiprism with bases of different size. The same occurs with the masses on z = 0
and z = −β. We call this kind of central configurations double-antiprism central
configurations. We will show the existence of central configurations of this type. |
|
Subject(s):
|
-Matemàtica |
|
Rights:
|
(c) Springer
Tots els drets reservats
|
|
Document type:
|
Article
info:eu-repo/acceptedVersion |
|
Published by:
|
Springer Verlag
|
|
Share:
|
|
