Browsing by Author "Barrabés Vera, Esther"
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Convexity and symmetry of central configurations in the fivebody problem: Lagrange plus two
Barrabés Vera, Esther; Cors Iglesias, Josep Maria; Fernandes, Antonio Carlos; Vidal Díaz, Claudio (20210710)
Article
Open AccessWe study convexity and symmetry of central configurations in the five body problem when three of the masses ara located at the vertices of an equilateral triangle, that we call Lagrange plus two central configurations. ... 
Dinàmica de varietats espacials: les autopistes de l’univers
Ollé Torner, Mercè; Barrabés Vera, Esther (20191220)
Article
Open AccessEn aquest article volem il.lustrar com la comprensió de la dinàmica d’alguns models de la mecànica celeste permet explicar alguns fenòmens astronòmics i dissenyar missions realistes a l’espai. El model paradigmàtic usat ... 
Dynamical aspects of multiround horseshoeshaped homoclinic orbits in the RTBP
Ollé Torner, Mercè; Barrabés Vera, Esther (200911)
Article
Restricted access  publisher's policyWe consider the planar restricted threebody problem and the collinear equilibrium point L3, as an example of a center×saddle equilibrium point in a Hamiltonian with two degrees of freedom.We explore numerically the ... 
Dynamics of the parabolic restricted threebody problem
Barrabés Vera, Esther; Cors Iglesias, Josep Maria; Ollé Torner, Mercè (20151201)
Article
Open AccessThe main purpose of the paper is the study of the motion of a massless body attracted, under the Newton's law of gravitation, by two equal masses moving in parabolic orbits all over in the same plane, the planar parabolic ... 
Ejectioncollision orbits in the symmetric collinear four–body problem
Álvarez Ramírez, Martha; Barrabés Vera, Esther; Medina, M.; Ollé Torner, Mercè (20190615)
Article
Open AccessIn this paper, we consider the collinear symmetric fourbody problem, where four masses and a¿>¿0, are aligned in this order and move symmetrically about their center of mass. We introduce regularized variables to deal ... 
Ejection–collision orbits in two degrees of freedom problems in celestial mechanics
Alvarez Ramírez, Martha; Barrabés Vera, Esther; Medina, M.; Ollé Torner, Mercè (Springer Nature, 20210801)
Article
Open AccessIn a general setting of a Hamiltonian system with two degrees of freedom and assuming some properties for the undergoing potential, we study the dynamics close and tending to a singularity of the system which in models of ... 
Fast numerical computation of Lissajous and quasihalo libration point trajectories
Mondelo, Josep Maria; Barrabés Vera, Esther; Gómez Muntané, Gerard; Ollé Torner, Mercè (2012)
Conference report
Open AccessIn this paper we present a methodology for the automatic generation of quasi–periodic libration point trajectories (Lissajous and quasi–halo) of the Spatial, Circular Restricted Three–Body Problem. This methodology is ... 
HAmsys 2014
Ollé Torner, Mercè; Barrabés Vera, Esther; Gómez Muntané, Gerard; Mondelo González, José María (2014)
Conference report
Restricted access  publisher's policyIn this talk we give an explanation of transport in the solar system based in dynamical systems theory. More concretely we consider (as a first approximation) different bicircular problems (i.e. Sun, Jupiter, a planet ... 
Highly eccentric hiphop solutions of the 2Nbody problem
Barrabés Vera, Esther; Cors Iglesias, Josep Maria; Pinyol Pérez, Conxita; Soler Villanueva, Jaume (201002)
Article
Open AccessWe show the existence of families of hiphop solutions in the equalmass 2Nbody problem which are close to highly eccentric planar elliptic homographic motions of 2N bodies plus small perpendicular nonharmonic oscillations. ... 
Hiphop solutions of the 2Nbody problem
Barrabés Vera, Esther; Cors Iglesias, Josep Maria; Pinyol Pérez, Conxita; Soler Villanueva, Jaume (200609)
Article
Open AccessHip–Hop solutions of the 2N–body problem with equal masses are shown to exist using an analytic continuation argument. These solutions are close to planar regular 2N–gon relative equilibria with small vertical oscillations. ... 
Horseshoe motion in the Restricted threebody problem
Ollé Torner, Mercè; Barrabés Vera, Esther (200509)
Article
Open Access 
Invariant manifolds of L_3 and horseshoe motion in the restricted threebody problem
Barrabés Vera, Esther; Ollé Torner, Mercè (2005)
Article
Open AccessIn this paper, we consider horseshoe motion in the planar restricted threebody problem. On one hand, we deal with the families of horseshoe periodic orbits (which surround three equilibrium points called L3, L4 and L5), ... 
J2 effect and elliptic inclined periodic orbits in the collision threebody problem
Barrabés Vera, Esther; Cors Iglesias, Josep Maria; Pinyol Pérez, Conxita; Soler Villanueva, Jaume (200801)
Article
Open AccessThe existence of a new class of inclined periodic orbits of the collision restricted three{body problem is shown. The symmetric periodic solutions found are perturbations of elliptic kepler orbits and they exist only for ... 
Low‐cost trajectories using dynamical systems
Cors Iglesias, Josep Maria; Barrabés Vera, Esther (Escola Politècnica Superior d’Enginyeria de Manresa, 20101202)
Conference lecture
Open Access 
Numerical continuation of families of homoclinic connections of periodic orbits in the RTBP
Ollé Torner, Mercè; Barrabés Vera, Esther; Mondelo González, José María (200912)
Article
Restricted access  publisher's policyThe goal of this paper is the numerical computation and continuation of homoclinic connections of the Lyapunov families of periodic orbits (p.o.) associated with the collinear equilibrium points, L1, L2 and L3, of ... 
Numerical exploration of the limit ring problem
Barrabés Vera, Esther; Cors Iglesias, Josep Maria; Hall, G.R. (201304)
Article
Open AccessThe aim of this work is to provide an insight of an idealized model of a planetary ring. The model is a limit case of the planar circular restricted 1 + n body problem, where an infinitesimal particle moves under the ... 
On central configurations of the knbody problem
Barrabés Vera, Esther; Cors Iglesias, Josep Maria (20190815)
Article
Open AccessWe consider planar central configurations of the Newtonian knbody problem consisting in k groups of regular ngons of equal masses, called (k, n)crown. We derive the equations of central configurations for a general (k, ... 
On strictly convex central configurations of the 2nbody problem
Barrabés Vera, Esther; Cors Iglesias, Josep Maria (20191201)
Article
Open AccessWe consider planar central configurations of the Newtonian 2nbody problem consisting in two twisted regular ngons of equal masses. We prove the conjecture that for n=5 all convex central configurations of two twisted ... 
Phase space structure of the hydrogen atom in a circularly polarized microwave field
Barrabés Vera, Esther; Ollé Torner, Mercè; Borondo Rodríguez, Florentino; Farrelly, David; Mondelo González, José María (201202)
Article
Restricted access  publisher's policyWe consider the problem of the hydrogen atom interacting with a circularly polarized microwave field, modeled as a perturbed Kepler problem. A remarkable feature of this system is that the electron can follow what we term ... 
Phase space structure of the hydrogen atom in a circularly polarized microwave field
Barrabés Vera, Esther; Ollé Torner, Mercè; Borondo Rodríguez, Florentino; Farrelly, David; Mondelo González, José María (201110)
Research report
Open AccessWe consider the problem of the hydrogen atom interacting with a circularly polarized microwave field, modeled as a perturbed Kepler problem.