Browsing by Author "Cors Iglesias, Josep Maria"
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A family of stacked central configurations in the planar fivebody problem
Lino Cornelio, J.; Álvarez Ramírez, Martha; Cors Iglesias, Josep Maria (201711)
Article
Open AccessWe study planar central configurations of the fivebody 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 fourbody convex central configuration with perpendicular diagonals is necessarily a kite
Corbera, Montserrat; Cors Iglesias, Josep Maria; Roberts, Gareth E. (20180701)
Article
Open AccessWe prove that any fourbody convex central configuration with perpendicular diagonals must be a kite configuration. The result extends to general powerlaw potential functions, including the planar fourvortex problem. 
A note on a family of nongravitational central force potentials in dimension one
AlvarezRamírez, M.; Corbera Subirana, Montserrat; Cors Iglesias, Josep Maria; García, A. (Elsevier, 20171201)
Article
Open AccessIn this work, we study a oneparameter 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 (201906)
Article
Open AccessWe show the existence of a family of stacked central configurations in the planar fivebody 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, 20080124)
Exam
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ÀLGEBRA (Examen
Cors Iglesias, Josep Maria; Domènech Blázquez, Margarita (Universitat Politècnica de Catalunya, 20071109)
Exam
Restricted access to the UPC academic community 
ÀLGEBRA (Examen 1r quadrimestre)
Cors Iglesias, Josep Maria; Domènech Blázquez, Margarita; Puente del Campo, María Albina; Rubió Massegú, Josep (Universitat Politècnica de Catalunya, 20080124)
Exam
Restricted access to the UPC academic community 
ÀLGEBRA (Examen 1r quadrimestre)
Cors Iglesias, Josep Maria; Domènech Blázquez, Margarita; Puente del Campo, María Albina; Rubió Massegú, Josep (Universitat Politècnica de Catalunya, 20080124)
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 (20150402)
Article
Open AccessWe study the relative equilibria of the limit case of the planar Newtonian 4body problem when three masses tend to zero, the socalled (1+3)body problem. Depending on the values of the infinitesimal masses the number of ... 
Central configurations in the fivebody problem: rhombus plus one
Lino Cornelio, J.; Alvarez Ramírez, Martha; Cors Iglesias, Josep Maria (20210520)
Article
Open AccessWe show the existence of central configurations in the planar fivebody problem where four bodies are located at the vertices of a rhombus, called rhombus plus one central configurations. Concretely we prove analytically ... 
Central configurations of the planar coorbial satellite problem
Cors Iglesias, Josep Maria; Llibre Saló, Jaume; Ollé Torner, Mercè (200410)
Article
Open AccessWe 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 AccessWe 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 fourbody convex central configurations
Corbera, Montserrat; Cors Iglesias, Josep Maria; Roberts, Gareth E. (20190701)
Article
Open AccessWe classify the full set of convex central configurations in the Newtonian planar fourbody problem. Particular attention is given to configurations possessing some type of symmetry or defining geometric property. Special ... 
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. ... 
Coorbital periodic orbits in the three body problem
Cors Iglesias, Josep Maria; Hall, G.R. (200305)
Article
Open AccessWe 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 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 ... 
Fourbody cocircular central configurations
Cors Iglesias, Josep Maria; Roberts, Gareth E. (201202)
Article
Open AccessWe classify the set of central configurations lying on a common circle in the Newtonian fourbody problem. Using mutual distances as coordinates, we show that the set of fourbody cocircular central configurations with ... 
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. ... 
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 ...