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UAB Digital Repository of Documents 9 records found  Search took 0.02 seconds. 
1.
13 p, 951.2 KB The circular restricted 4-body problem with three equal primaries in the collinear central configuration of the 3-body problem / Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Paşca, Daniel (University of Oradea. Department of Mathematics and Informatics (Romania)) ; Valls, Clàudia 1973- (Universidade de Lisboa. Instituto Superior Técnico. Departamento de Matemàtica)
We study the dynamics of the circular restricted 4-body problem with three primaries with equal masses at the collinear configuration of the 3-body problem with an infinitesimal mass. We calculate the equilibrium points and study their linear stability. [...]
2021 - 10.1007/s10569-021-10052-6
Celestial Mechanics and Dynamical Astronomy, Vol. 133, Issue 11-12 (December 2021) , art. 53  
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2.
26 p, 545.3 KB On the central configurations in the spatial 5-body problem with four equal masses / Álvarez-Ramírez, Martha (Universidad Autónoma Metropolitana-Iztapalapa (Mèxic). Departamento de Matemáticas) ; Corbera Subirana, Montserrat (Universitat de Vic - Universitat Central de Catalunya. Departament de Tecnologies Digitals i de la Informació) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
We analyze the families of central configurations of the spatial 5-body problem with four masses equal to 1 when the fifth mass m varies from 0 to (Formula presented. ). In particular we continue numerically, taking m as a parameter, the central configurations (which all are symmetric) of the restricted spatial ((Formula presented. [...]
2016 - 10.1007/s10569-015-9670-z
Celestial Mechanics and Dynamical Astronomy, Vol. 124, Issue 4 (April 2016) , p. 433-456  
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3.
28 p, 1.7 MB Classifying four-body convex central configurations / Corbera Subirana, Montserrat (Universitat de Vic. Departament de Tecnologies Digitals i de la Informació) ; Cors Iglesias, Josep Maria (Universitat Politècnica de Catalunya. Departament de Matemàtiques) ; Roberts, Gareth E. (College of the Holy Cross. Department of Mathematics and Computer Science (USA))
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. [...]
2019 - 10.1007/s10569-019-9911-7
Celestial Mechanics and Dynamical Astronomy, Vol. 131, Issue 7 (July 2019) , art. 34  
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4.
11 p, 670.2 KB Periodic orbits of the two fixed centers problem with a variational gravitational field / Gao, Fabao (Yangzhou University. School of Mathematical Science (China)) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
Within a given range of energy levels the two fixed centers problem under a variational gravitational field admits periodic orbits bifurcating from the Kepler problem. The analytical expressions of these periodic orbits are given when the mass parameter of the system is sufficiently small.
2020 - 10.1007/s10569-020-09979-z
Celestial Mechanics and Dynamical Astronomy, Vol. 132, Issue 6-7 (June 2020) , art. 39  
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5.
10 p, 419.0 KB A family of stacked central configurations in the planar five-body problem / Cornelio, J. Lino (Universidad Juárez Autónoma de Tabasco (Mèxic). División Académica de Ciencias Básicas) ; Álvarez-Ramírez, Martha (Universidad Autónoma Metropolitana-Iztapalapa (Mèxic). Departamento de Matemáticas) ; Cors Iglesias, Josep Maria (Universitat Politècnica de Catalunya. Departament de Matemàtiques)
We study planar central configurations of the five-body problem where three bodies, m1,m2 and m3, are collinear and ordered from left to right, while the other two, m4 and m5, are placed symmetrically with respect to the line containing the three collinear bodies. [...]
2017 - 10.1007/s10569-017-9782-8
Celestial Mechanics and Dynamical Astronomy, Vol. 129, Issue 3 (November 2017) , p. 321-328  
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6.
31 p, 6.8 MB Numerical study of the geometry of the phase space of the augmented Hill three-body problem / Farrés, Ariadna (Universitat de Barcelona. Institut de Matemàtiques) ; Jorba, Àngel (Universitat de Barcelona. Departament de Matemàtiques i Informàtica) ; Mondelo González, José María (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
The Augmented Hill Three-Body problem is an extension of the classical Hill problem that, among other applications, has been used to model the motion of a solar sail around an asteroid. This model is a 3 degrees of freedom (3DoF) Hamiltonian system that depends on four parameters. [...]
2017 - 10.1007/s10569-017-9762-z
Celestial Mechanics and Dynamical Astronomy, 2017  
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7.
24 p, 2.5 MB Spatial collinear restricted 4-body problem with repulsive Manev potential / Barrabés Vera, Esther (Universitat de Girona. Departament d'Informàtica, Matemàtica Aplicada i Estadística) ; Cors Iglesias, 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  
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8.
14 p, 351.0 KB New stacked central configurations for the planar 5-body problem / Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Mello, Luis Fernando (Universidade Federal de Itajubá (Brasil). Instituto de Matemática e Computação) ; Pérez-Chavela, Ernesto (UAM-Iztapalapa. Departamento de Matemáticas)
2011 - 10.1007/s10569-011-9342-6
Celestial Mechanics & Dynamical Astronomy. An International Journal of Space Dynamics, Vol. 110 (2011) , p. 43-52  
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9.
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. Departament de 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 and Dynamical Astronomy, Vol. 109 Núm. 1 (2011) , p. 27-43  
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