Convex central configuration - Resultats de la cerca - Dipòsit Digital de Documents de la UAB

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Resultats globals: 5 registres trobats en 0.02 segons.
Articles, 5 registres trobats

Articles	5 registres trobats

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 - DOI (Digital Object Identifier)

10.1134/S156035472006009X
Regular and Chaotic Dynamics, Vol. 25, Issue 6 (November 2020) , p. 651-661

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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 - DOI (Digital Object Identifier)

10.1007/s10569-019-9911-7
Celestial Mechanics and Dynamical Astronomy, Vol. 131, Issue 7 (July 2019) , art. 34

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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 - DOI (Digital Object Identifier)

10.1016/j.physleta.2018.08.034
Physics Letters. A, Vol. 383, Issues 2-3 (January 2019) , p. 103-109

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17 p, 410.5 KB

Convex central configurations of the 4-body problem with two pairs of equal masses / Fernandes, Antonio Carlos (Universidade Federal de Itajubá (Brasil). Instituto de Matemática e Computação) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Mello, Luis Fernando (Universidade Federal de Itajubá (Brasil). Instituto de Matemática e Computação)
MacMillan and Bartky in 1932 proved that there is a unique isosceles trapezoid central configuration of the 4--body problem when two pairs of equal masses are located at adjacent vertices. After this result the following conjecture was well known between people working on central configurations: The isosceles trapezoid is the unique convex central configuration of the planar 4--body problem when two pairs of equal masses are located at adjacent vertices. [...]
2017 - DOI (Digital Object Identifier)

10.1007/s00205-017-1134-z
Archive for Rational Mechanics and Analysis, 2017

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9 p, 661.1 KB

The symmetric central configurations of the 4-body problem with masses m_1=m_2 m_3=m_4 / Álvarez-Ramírez, Martha (UAM-Iztapalapa(México). Departamento de Matemáticas) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
We characterize the planar central configurations of the 4-body problem with masses m1 = m2 ̸= m3 = m4 which have an axis of symmetry. It is known that this problem has exactly two classes of convex central configurations, one with the shape of a rhombus and the other with the shape of an isosceles trapezoid. [...]
2013 - DOI (Digital Object Identifier)

10.1016/j.amc.2012.12.036
Applied Mathematics and Computation, Vol. 219 (2013) , p. 5996-6001

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