Equilibrium points and central configurations for the Lennard-Jones 2- and 3-body problems
type: Item
instance of: scholarly article
title: Equilibrium points and central configurations for the Lennard-Jones 2- and 3-body problems
zbMATH Open document ID: 1151.70310
DOI: 10.1023/B:CELE.0000038600.74660.34
author: Montserrat Corbera
author: Jaume Llibre
author: Ernesto Perez-Chavela
published in: Celestial Mechanics and Dynamical Astronomy
publication date: 2005-03-01T00:00:00Z
review text: The Lennard-Jones potential is used to model the stability of small clusters of interacting particles in crystal growth, random geometry of liquids, the theory of homogeneous nucleation, the motion of stars and galaxies in the Universe, etc. Most known results about the Lennard-Jones potential are found by numerical methods. Here, an analytic approach is developed to study particular circular periodic orbits and relative equilibria in Lennard-Jones 2- and 3-body problem. The main contribution is the analysis of these periodic orbits and their relationship with the momentum of inertia of the system. The results can be useful for the study dynamical properties like relaxation of systems close to equilibrium.
reviewed by: Sergei Georgievich Zhuravlev
Mathematics Subject Classification ID: 70F05
Mathematics Subject Classification ID: 70F07
Mathematics Subject Classification ID: 70K42
Mathematics Subject Classification ID: 70K20
zbMATH DE Number: 2140054
zbMATH Keywords: spectral stability
zbMATH Keywords: circular periodic orbits
zbMATH Keywords: momentum of inertia
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 2140054