Now showing items 1-20 of 36

  • A family of stacked central configurations in the planar five-body problem 

    Lino Cornelio, J.; Alvarez Ramírez, Martha; Cors Iglesias, Josep Maria (2017-11)
    Article
    Open Access
    We study planar central configurations of the five-body problem where three bodies, (Formula presented.) and (Formula presented.), are collinear and ordered from left to right, while the other two, (Formula presented.) and ...
  • Analysis of the relative dynamics of a charged spacecraft moving under the influence of a magnetic field 

    Cheng, Yu; Gómez Muntané, Gerard; Masdemont Soler, Josep; Yuan, Jianping (2018-09-01)
    Article
    Restricted access - publisher's policy
    We analyse a dynamical scenario where a constantly charged spacecraft (follower) moves in the vicinity of another one (leader) that follows a circular Keplerian orbit around the Earth and generates a rotating magnetic ...
  • An invitation to singular symplectic geometry 

    Miranda Galcerán, Eva; Delshams Valdés, Amadeu; Dempsey Bradell, Roisin Mary; Oms, Cedric; Planas Bahí, Arnau (2019)
    Article
    Open Access
    In this paper we analyze in detail a collection of motivating examples to consider bm-symplectic forms and folded-type symplectic structures. In particular, we provide models in Celestial Mechanics for every bm-symplectic ...
  • A note on a family of non-gravitational central force potentials in dimension one 

    Alvarez-Ramírez, M.; Corbera Subirana, Montserrat; Cors Iglesias, Josep Maria; García, A. (Elsevier, 2017-12-01)
    Article
    Restricted access - publisher's policy
    In this work, we study a one-parameter family of differential equations and the different scenarios that arise with the change of parameter. We remark that these are not bifurcations in the usual sense but a wider phenomenon ...
  • A note on the dynamics around the L1,2 Lagrange points of the Earth-Moon system in a complete solar system model 

    Tang, Guojian; Gomez Muntaner, Gerard; Masdemont Soler, Josep; Yijun, L. (2012)
    Conference report
    Open Access
    The purpose of this paper is the study of the phase space around the collinear libration points L1 and L2 of the Earth–Moon system when the gravitational effects of the remaining bodies of the Solar System are taken into ...
  • A note on the dynamics around the Lagrange collinear points of the Earth-Moon system in a complete Solar System model 

    Lian, Yijun; Gómez Muntané, Gerard; Masdemont Soler, Josep; Tang, Guojian (2013-02)
    Article
    Restricted access - publisher's policy
    In this paper we study the dynamics of a massless particle around the L 1,2 libration points of the Earth–Moon system in a full Solar System gravitational model. The study is based on the analysis of the quasi-periodic ...
  • A note on the dynamics around the Lagrange points of the Earth-Moon system in a complete Solar System model 

    Lian, Yijun; Gómez Muntané, Gerard; Masdemont Soler, Josep; Tang, Guojian (2013)
    Conference report
    Open Access
    This paper studies the dynamics of a massless particle around the libration points of the Earth - Moon system in a full Solar System gravitational model. The study is based on the analysis of the quasi - periodic ...
  • Bifurcation of relative equilibria of the (1+3)-body problem 

    Corbera, M.; Cors Iglesias, Josep Maria; Llibre Saló, Jaume; Moeckel, Richard (2015-04-02)
    Article
    Open Access
    We study the relative equilibria of the limit case of the planar Newtonian 4-body problem when three masses tend to zero, the so-called (1+3)-body problem. Depending on the values of the infinitesimal masses the number of ...
  • Central configurations of the planar coorbial satellite problem 

    Cors Iglesias, Josep Maria; Llibre Saló, Jaume; Ollé Torner, Mercè (2004-10)
    Article
    Open Access
    We study the planar central configurations of the 1 +n body problem where one mass is large and the other n masses are infinitesimal and equal. We find analytically all these central configurations when 2=n=4. Numerically, ...
  • Dynamics in the centre manifold around equilibrium points in periodically perturbed three-body problems 

    Le Bihan, Bastien; Masdemont Soler, Josep; Gomez Muntané, Gerard; Lizy-Destrez, Stephanie (2016)
    Conference report
    Open Access
    A new application of the parameterization method is pre- sented to compute invariant manifolds about the equilib- rium points of Periodically Perturbed Three-Body Problems ( PPTBP ). These techniques are applied to obtain ...
  • Formation flying in space borne artificial magnetic dipole field 

    Cheng, Yu; Gómez Muntané, Gerard; Masdemont Soler, Josep; Yuan, Jianping (2017)
    Conference lecture
    Open Access
    In this paper, we consider a new dynamical scenario in which a constantly charged spacecraft (follower) moves near a leader spacecraft, which follows a circular Keplerian orbit around the Earth and generates a rotating ...
  • Four-body co-circular central configurations 

    Cors Iglesias, Josep Maria; Roberts, Gareth E. (2012-02)
    Article
    Open Access
    We classify the set of central configurations lying on a common circle in the Newtonian four-body problem. Using mutual distances as coordinates, we show that the set of four-body co-circular central configurations with ...
  • Lagrangian coherent structures 

    Ros Roca, Xavier (Universitat Politècnica de Catalunya, 2015-05)
    Bachelor thesis
    Open Access
    Real-life mechanical systems can usually be modeled as non-linear, non-periodic and non-autonomous dynamical systems. It is very important to have different tools to study these systems, and there are many classical ...
  • Mathematical Methods Applied to the Celestial Mechanics of Artificial Satellites 

    Bertachini A. Prado, Antonio F.; Zanardi, Maria Cecilia; Yokoyama, Tadashi; Giuliatti Winter, Silvia Maria; Masdemont Soler, Josep (2012)
    Article
    Open Access
  • Mathematical methods applied to the celestial mechanics of artificial satellites 

    Prado, Antonio F. Bertachini A.; Masdemont Soler, Josep; Zanardi, Maria Cecilia; Winter, Silvia Maria Giuliatti; Yokoyama, Tadashi; Gomes, Vivian Martins (2015-02-02)
    Article
    Open Access
  • Mathematical Methods Applied to the Celestial Mechanics of Artificial Satellites 2013 

    Prado, Antonio F. Bertachini A.; Masdemont Soler, Josep; Zanardi, Maria Cecilia; Winter, Silvia Maria Giuliatti; Yokoyama, Tadashi; Gomes, Vivian Martins (2013)
    Article
    Open Access
  • Numerical exploration of the limit ring problem 

    Barrabés Vera, Esther; Cors Iglesias, Josep Maria; Hall, G.R. (2013-04)
    Article
    Open Access
    The 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 kn-body problem 

    Barrabés Vera, Esther; Cors Iglesias, Josep Maria (2019-08-15)
    Article
    Restricted access - publisher's policy
    We consider planar central configurations of the Newtonian kn-body problem consisting in k groups of regular n-gons of equal masses, called (k, n)-crown. We derive the equations of central configurations for a general (k, ...
  • On co-orbital quasi-periodic motion in the three-body problem 

    Cors Iglesias, Josep Maria; Palacián Subiela, Jesús Francisco; Yanguas Sayas, Patricia (2019-01-01)
    Article
    Open Access
    Within the framework of the planar three-body problem we establish the existence of quasi-periodic motions and KAM $4$-tori related to the co-orbital motion of two small moons about a large planet where the moons move in ...
  • On the central configurations of the planar 1 + 3 body problem 

    Corbera, M.; Cors Iglesias, Josep Maria; Llibre Saló, Jaume (2011)
    Article
    Open Access
    We consider the Newtonian 4 body problem in the plane with a dominat mass M. We study the planar central configurations of this problem when the remaining masses are infinitesimal. We obtain two diferent classes of central ...