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Articles, 17 registres trobats
Articles 17 registres trobats  1 - 10següent  anar al registre:
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  
2.
On the equilateral pentagonal central configurations / Álvarez-Ramírez, Martha (Universidad Autónoma Metropolitana-Iztapalapa (Mèxic)) ; Gasull, Armengol (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
An equilateral pentagon is a polygon in the plane with five sides of equal length. In this paper we classify the central configurations of the 5-body problem having the five bodies at the vertices of an equilateral pentagon with an axis of symmetry. [...]
2022 - 10.1016/j.cnsns.2022.106511
Communications in nonlinear science and numerical simulation, Vol. 112 (September 2022) , art. 106511  
3.
6 p, 768.0 KB Central configurations of 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)
In this paper we classify the central configurations of the circular restricted 4-body problem with three primaries with equal masses at the collinear configuration of the 3-body problem and an infinitisimal mass.
2021 - 10.17352/tcsit.000031
Trends in Computer Science and Information Technology, Vol. 6, Issue 1 (2021) , p. 1-6
2 documents
4.
14 p, 396.8 KB Central configurations in the five-body problem : Rhombus plus one / Cornelio, J. Lino (Universidad Juárez Autónoma de Tabasco (Mèxic). División Académica de Ciencias Básicas) ; Álvarez-Ramírez, Martha (Universidad Autónoma Metropolitana-Iztapalapa (Mèxic)) ; Cors Iglesias, Josep Maria (Universitat Politècnica de Catalunya. Departament de Matemàtiques)
We show the existence of central configurations in the planar five-body problem where four bodies are located at the vertices of a rhombus, called rhombus plus one central configurations. Concretely we prove analytically their existence when one diagonal is nearly equal to the sides of the rhombus and when the two diagonals are either equal or nearly equal. [...]
2021 - 10.1007/s12346-021-00486-6
Qualitative theory of dynamical systems, Vol. 20, Issue 2 (July 2021) , art. 51  
5.
36 p, 1.9 MB On the existence of symmetric bicircular central configurations of the 3n-body problem / Corbera Subirana, Montserrat (Universitat de Vic - Universitat Central de Catalunya) ; Valls, Clàudia 1973- (Universidade de Lisboa. Instituto Superior Técnico. Departamento de Matemàtica)
In this paper, we consider central configurations of the planar 3n-body problem consisting of n masses at the vertices of a regular n-gon inscribed in a circle of radius r and 2n masses at the vertices of a second (not necessarily regular) concentric 2n-gon inscribed in a circle of radius ar which are symmetric in the sense that the set of positions of the 3n masses and the set of the corresponding masses are invariant under the action of a finite subgroup of O(2). [...]
2021 - 10.1007/s00332-021-09743-z
Journal of Nonlinear Science, Vol. 31, Issue 6 (December 2021) , art. 88  
6.
12 p, 722.3 KB Tangential trapezoid central configurations / Yuan, Pengfei (Southwest University. School of Mathematics and Statistics (China)) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
A tangential trapezoid, also called a circumscribed trapezoid, is a trapezoid whose four sides are all tangent to a circle within the trapezoid: the in-circle or inscribed circle. In this paper we classify all planar four-body central configurations, where the four bodies are at the vertices of a tangential trapezoid.
2020 - 10.1134/S156035472006009X
Regular and Chaotic Dynamics, Vol. 25, Issue 6 (November 2020) , p. 651-661  
7.
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  
8.
11 p, 408.2 KB On the central configurations of the n-body problem / Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
We present a brief survey on some classes of central configurations of the n-body problem. We put special emphasis on the central configurations of the 1+n-body problem also called the coorbital satellite problem, and on the nested central configurations formed by either regular n-gons, or regular polyhedra. [...]
2017 - 10.21042/AMNS.2017.2.00042
Applied Mathematics and Nonlinear Sciences, Vol. 2, Issue 2 (2017) , p. 509-518
2 documents
9.
8 p, 240.0 KB On centered co-circular central configurations of the n-body problem / Corbera Subirana, Montserrat (Universitat de Vic - Universitat Central de Catalunya) ; Valls, Clàudia 1973- (Universidade de Lisboa. Instituto Superior Técnico. Departamento de Matemàtica)
We study the co-circular central configurations of the n-body problem for which the center of mass and the center of the common circle coincide. In particular, we prove that there are no central configurations of this type with all the masses equal except one. [...]
2019 - 10.1007/s10884-018-9699-2
Journal of dynamics and differential equations, Vol. 31, Issue 4 (December 2019) , p. 2053-2060  
10.
12 p, 443.2 KB Hjelmslev quadrilateral central configurations / Álvarez-Ramírez, Martha (Universidad Autónoma Metropolitana-Iztapalapa (Mèxic). Departamento de Matemáticas) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
A Hjelmslev quadrilateral is a quadrilateral with two right angles at opposite vertices. Using mutual distances as coordinates, we show that any four-body central configuration forming a Hjelmslev quadrilateral must be a right kite configuration.
2019 - 10.1016/j.physleta.2018.08.034
Physics Letters. A, Vol. 383, Issues 2-3 (January 2019) , p. 103-109  

Articles : 17 registres trobats   1 - 10següent  anar al registre:
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