Periodic orbit families near the 4:1 jovian resonance
Authors: Grau, Miquel; Noguera, Miquel
Source: Celestial Mechanics and Dynamical Astronomy, Volume 72, Number 3, November 1998 , pp. 201-218(18)
Abstract:An enlarged averaged Hamiltonian is introduced to compute several families of periodic orbits of the planar elliptic 3-body problem, in the Sun—Jupiter—Asteroid system, near the 4:1 resonance. Four resonant critical point families are found and their stability is studied. The families of symmetric periodic orbits of the elliptic problem appear near the corresponding fixed points computed in this model. There is a good agreement for moderate eccentricity of the asteroid for three of these families, whereas the remaining family cannot be considered as a family of periodic orbits of the real model.
Document Type: Research Article
Affiliations: Departament de Matemàtica Aplicada II, Facultat de Matemàtiques i Estadística, Universitat Politècnica de Catalunya, Pau Gargallo 5, 08028, Barcelona, Spain, Email: firstname.lastname@example.org@ma2.upc.es
Publication date: 1998-11-01