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Articles, 11 records found
Articles 11 records found  1 - 10next  jump to record:
1.
15 p, 488.5 KB On central configurations of the κn-body problem / Barrabés, Esther (Universitat de Girona) ; Cors, Josep Maria (Universitat Politècnica de Catalunya)
We consider planar central configurations of the Newtonian κn-body problem consisting in κ groups of regular n-gons of equal masses, called (κ,n)-crown. We derive the equations of central configurations for a general (κ,n)-crown. [...]
2019 - 10.1016/j.jmaa.2019.04.010
Journal of mathematical analysis and applications, Vol. 476, Núm. 2 (August 2019) , p. 720-736  
2.
31 p, 10.1 MB Trapezoid central configurations / Corbera Subirana, Montserrat (Universitat de Vic. Departament d'Enginyeries) ; Cors, Josep Maria (Universitat Politècnica de Catalunya. Departament de Matemàtiques) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Pérez-Chavela, Ernesto (UAM-Iztapalapa(México). Departamento de Matemáticas)
We classify all planar four–body central configurations where two pairs of the bodies are on parallel lines. Using cartesian coordinates, we show that the set of four–body trapezoid central configurations with positive masses forms a two–dimensional surface where two symmetric families, the rhombus and isosceles trapezoid, are on its boundary. [...]
2019 - 10.1016/j.amc.2018.10.066
Applied Mathematics and Computation, Vol. 346 (April 2019) , p. 127-142  
3.
8 p, 285.3 KB A Four-body convex central configuration with perpendicular diagonals is necessarily a kite / Corbera Subirana, Montserrat (Universitat de Vic. Departament d'Enginyeries) ; Cors, Josep Maria (Universitat Politècnica de Catalunya. Departament de Matemàtiques) ; Roberts, Gareth E. (College of the Holy Cross. Department of Mathematics and Computer Science)
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.
2018 - 10.1007/s12346-017-0238-z
Qualitative theory of dynamical systems, Vol. 17, issue 2 (Jul. 2018) , p. 367-374  
4.
24 p, 2.5 MB Spatial collinear restricted 4-body problem with repulsive Manev potential / Barrabés, Esther (Universitat de Girona. Departament d'Informàtica Matemàtica Aplicada i Estadística) ; Cors, Josep Maria (Universitat Politècnica de Catalunya. Departament de Matemàtiques) ; Vidal, Claudio (Universidad del Bío-Bío (Xile). Departament de Matemática)
We outlines some aspects of the dynamics of an infinitesimal mass under the Newtonian attraction of three point masses in a symmetric collinear relative equilibria configuration when a repulsive Manev potential (-1/r e/r^2), e > 0, is applied to the central mass. [...]
2017 - 10.1007/s10569-017-9771-y
Celestial Mechanics & Dynamical Astronomy. An International Journal of Space Dynamics, 2017, p. 1-24  
5.
9 p, 245.8 KB Uniqueness results for co-circular central configurations for power-law potentials / Cors Iglesias, Josep Maria (Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada III) ; Hall, Glen Richard (Boston University. Department of Mathematics and Statistics) ; Roberts, Gareth E. (College of the Holy Cross. Dept. of Mathematics and Computer Science)
For a class of potential functions including those used for the planar n-body and n-vortex problems, we investigate co-circular central configurations whose center of mass coincides with the center of the circle containing the bodies. [...]
2014 - 10.1016/j.physd.2014.05.003
Physica D. Nonlinear Phenomena, Vol. 280-281 (2014) , p. 44-47  
6.
28 p, 13.8 MB Numerical exploration of the limit ring problem / Barrabes, Esther (Universitat de Girona. Departament d’Informàtica i Matemàtica Aplicada) ; Cors Iglesias, Josep Maria (Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada III) ; Hall, Glen Richard (Boston University. Department of Mathematics and Statistics)
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 gravitational influence of a large central body and n smaller bodies located on the vertices of a regular n-gon. [...]
2013 - 10.1007/s12346-012-0082-0
Qualitative Theory of Dynamical Systems, Vol. 12 Núm. 1 (2013) , p. 25-52  
7.
33 p, 15.9 MB Four-body co-circular central configurations / Cors Iglesias, Josep Maria (Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada III) ; Roberts, Gareth E. (College of the Holy Cross. Department of Mathematics and Computer Science)
2012
Nonlinearity, Vol. 25 (2012) , p. 343-370  
8.
22 p, 447.3 KB On the central configurations of the planar (1 3)-body problem / Corbera Subirana, Montserrat (Universitat de Vic. Departament de Tecnologies Digitals i de la Informació) ; Cors Iglesias, Josep Maria (Universitat Politècnica de Catalunya. Matemàtica Aplicada III) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
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 different classes of central configurations depending on the mutual distances between the infinitesimals masses. [...]
2011 - 10.1007/s10569-010-9316-0
Celestial Mechanics & Dynamical Astronomy. An International Journal of Space Dynamics, Vol. 109 Núm. 1 (2011) , p. 27-43  
9.
33 p, 6.0 MB Bifurcation of relative equilibria of the (1 3)-body problem / Corbera Subirana, Montserrat (Universitat de Vic. Departament de Tecnologies Digitals i de la Informació) ; Cors Iglesias, Josep Maria (Universitat Politècnica de Catalunya. Matemàtica Aplicada III) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Moeckel, Richard (University of Minnesota. School of Mathematics)
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 relative equilibria varies from ten to fourteen. [...]
2015
SIAM Journal on Mathematical Analysis, Vol. 47 Núm. 2 (2015) , p. 1377-1404  
10.
32 p, 2.6 MB Dynamics of the parabolic restricted three-body problem / Barrabes, Esther (Universitat de Girona. Escola Politècnica Superior) ; Cors Iglesias, Josep Maria (Universitat Politècnica de Catalunya. Escola Politècnica Superior de Manresa) ; Ollé, Merce (Universitat Politècnica de Catalunya. Escola Tècnica Superior d’Enginyeria Industrial de Barcelona)
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 restricted three-body problem. [...]
2015 - 10.1016/j.cnsns.2015.05.025
Communications in Nonlinear Science and Numerical Simulation, Vol. 29 (2015) , p. 400-415  

Articles : 11 records found   1 - 10next  jump to record:
See also: similar author names
6 Cors, Jordi
5 Cors, Josep Maria
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