Families of periodic orbits emanating from homoclinic orbits in the restricted problem of three bodies
type: Item
instance of: scholarly article
title: Families of periodic orbits emanating from homoclinic orbits in the restricted problem of three bodies
zbMATH Open document ID: 1140.70005
author: Jacques Henrard
author: Juan F. Navarro
published in: Celestial Mechanics and Dynamical Astronomy
publication date: 2005-03-01T00:00:00Z
review text: The authors investigate symmetric and non-symmetric periodic orbits associated with the Lagrangian point \(L_4\) of circular planar restricted three-body problem. In particular, they study the evolution of Trojan web of periodic orbits, i.e. periodic orbits associated with the equilibrium \(L_4\) (and their symmetric orbits associated with \(L_5\)) for the mass ratio \(\mu\) smaller than \(\mu_1= (1-\sqrt{23}/27)/2\). The numerical results on the evolution of families of periodic orbits associated with homoclinic orbits emanating from the libration point \(L_4\) are presented for values of the mass ratio larger than \(\mu_1\).
reviewed by: Sergei Georgievich Zhuravlev
Mathematics Subject Classification ID: 70F07
Mathematics Subject Classification ID: 70K42
Mathematics Subject Classification ID: 70K44
Mathematics Subject Classification ID: 70F15
zbMATH DE Number: 2140056
zbMATH Keywords: bifurcations
zbMATH Keywords: Lagrangian point
zbMATH Keywords: Trojan web
MaRDI profile type: Publication
DOI: 10.1023/B:CELE.0000038608.06392.E0
description: scientific article; zbMATH DE number 2140056