Now showing items 1-20 of 33

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

      Lino Cornelio, J.; Álvarez 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 ...
    • A four-body convex central configuration with perpendicular diagonals is necessarily a kite 

      Corbera, Montserrat; Cors Iglesias, Josep Maria; Roberts, Gareth E. (2018-07-01)
      Article
      Open Access
      We prove that any four-body convex central configuration with perpendicular diagonals must be a kite configuration. The result extends to general power-law potential functions, including the planar four-vortex problem.
    • 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
      Open Access
      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 special family of stacked central configurations: Lagrange plus Euler in one 

      Lino Cornelio, J.; Álvarez Ramírez, Martha; Cors Iglesias, Josep Maria (2019-06)
      Article
      Open Access
      We show the existence of a family of stacked central configurations in the planar five-body problem with a special property. Three bodies m1, m2 and m3, ordered from left to right, are collinear and form an Euler central ...
    • ÀLGEBRA (1r quadrimestre) 

      Cors Iglesias, Josep Maria; Domènech Blázquez, Margarita; Puente del Campo, María Albina; Rubió Massegú, Josep (Universitat Politècnica de Catalunya, 2008-01-24)
      Exam
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    • ÀLGEBRA (Examen 

      Cors Iglesias, Josep Maria; Domènech Blázquez, Margarita (Universitat Politècnica de Catalunya, 2007-11-09)
      Exam
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    • ÀLGEBRA (Examen 1r quadrimestre) 

      Cors Iglesias, Josep Maria; Domènech Blázquez, Margarita; Puente del Campo, María Albina; Rubió Massegú, Josep (Universitat Politècnica de Catalunya, 2008-01-24)
      Exam
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    • ÀLGEBRA (Examen 1r quadrimestre) 

      Cors Iglesias, Josep Maria; Domènech Blázquez, Margarita; Puente del Campo, María Albina; Rubió Massegú, Josep (Universitat Politècnica de Catalunya, 2008-01-24)
      Exam
      Restricted access to the UPC academic community
    • 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, ...
    • Central configurations of the planar coorbital satellite problem 

      Cors Iglesias, Josep Maria; Llibre Saló, Jaume; Ollé Torner, Mercè (2003)
      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, ...
    • Classifying four-body convex central configurations 

      Corbera, Montserrat; Cors Iglesias, Josep Maria; Roberts, Gareth E. (2019-07-01)
      Article
      Open Access
      We classify the full set of convex central configurations in the Newtonian planar four-body problem. Particular attention is given to configurations possessing some type of symmetry or defining geometric property. Special ...
    • Coorbital periodic orbits in the three body problem 

      Cors Iglesias, Josep Maria; Hall, G.R. (2003-05)
      Article
      Open Access
      We consider the dynamics of coorbital motion of two small moons about a large planet which have nearly circular orbits with almost equal radii. These moons avoid collision because they switch orbits during each close ...
    • Dynamics of the parabolic restricted three-body problem 

      Barrabés Vera, Esther; Cors Iglesias, Josep Maria; Ollé Torner, Mercè (2015-12-01)
      Article
      Open Access
      The 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 ...
    • 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 ...
    • Highly eccentric hip-hop solutions of the 2N-body problem 

      Barrabés Vera, Esther; Cors Iglesias, Josep Maria; Pinyol Pérez, Conxita; Soler Villanueva, Jaume (2010-02)
      Article
      Open Access
      We show the existence of families of hip-hop solutions in the equal-mass 2N-body problem which are close to highly eccentric planar elliptic homographic motions of 2N bodies plus small perpendicular non-harmonic oscillations. ...
    • Hip-hop solutions of the 2N-body problem 

      Barrabés Vera, Esther; Cors Iglesias, Josep Maria; Pinyol Pérez, Conxita; Soler Villanueva, Jaume (2006-09)
      Article
      Open Access
      Hip–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. ...
    • J2 effect and elliptic inclined periodic orbits in the collision three-body problem 

      Barrabés Vera, Esther; Cors Iglesias, Josep Maria; Pinyol Pérez, Conxita; Soler Villanueva, Jaume (2008-01)
      Article
      Open Access
      The 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, 2010-12-02)
      Conference lecture
      Open Access
    • MATEMÀTIQUES AVANÇADES PER A LA ENGINYERIA (Final. 1r quadrimestre) 

      Cors Iglesias, Josep Maria; Domènech Blázquez, Margarita; Puente del Campo, María Albina (Universitat Politècnica de Catalunya, 2014-01-28)
      Exam
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