Convexity and symmetry of central configurations in the five-body problem: Lagrange plus two

Autor: Josep Maria Cors Iglesias, Esther Barrabés Vera, Claudio Vidal, Antonio Carlos Fernandes

Publikováno v: UPCommons. Portal del coneixement obert de la UPC
Universitat Politècnica de Catalunya (UPC)
© Qualitative Theory of Dynamical Systems, 2021, vol. 20, p. 63
Articles publicats (D-IMAE)
Barrabés, E. Cors, J.M. Fernandes, A.C. Vidal, C. 2021 Convexity and symmetry of central configurations in the five-body problem: Lagrange plus two Qualitative Theory of Dynamical Systems 20 63
DUGiDocs – Universitat de Girona
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We 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. First, we prove that the two bo

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https://hdl.handle.net/10256/197072117/355962

Numerical exploration of the limit ring problem

Autor: Glen R. Hall, Josep M. Cors, Esther Barrabés

Publikováno v: Recercat. Dipósit de la Recerca de Catalunya
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© Qualitative Theory of Dynamical Systems, 2013, vol. 12, núm. 1, p. 25-52
Articles publicats (D-IMA)
DUGiDocs – Universitat de Girona
UPCommons. Portal del coneixement obert de la UPC
Universitat Politècnica de Catalunya (UPC)
Dipòsit Digital de Documents de la UAB
Universitat Autònoma de Barcelona
Recercat: Dipósit de la Recerca de Catalunya
Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)

The final publication is available at Springer via http://dx.doi.org/10.1007/s12346-012-0082-0 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

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http://hdl.handle.net/2072/410544

Spatial collinear restricted four-body problem with repulsive Manev potential

Autor: Josep M. Cors, Esther Barrabés, Claudio Vidal

Publikováno v: Recercat. Dipósit de la Recerca de Catalunya
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Barrabés Vera, Esther Cors i Iglesias, Josep M. Vidal, Claudio 2017 Spatial collinear restricted four-body problem with repulsive Manev potential Celestial Mechanics & Dynamical Astronomy 129 1-2 153 176
© Celestial Mechanics & Dynamical Astronomy, 2017, vol. 129, núm. 1-2, p. 153-176
Articles publicats (D-IMAE)
DUGiDocs – Universitat de Girona
UPCommons. Portal del coneixement obert de la UPC
Universitat Politècnica de Catalunya (UPC)

We outline 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 appl

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https://doi.org/10.1007/s10569-017-9771-y

Ejection-collision orbits in the symmetric collinear four–body problem

Autor: Esther Barrabés, Martha Alvarez-Ramírez, Mercè Ollé, Mario Medina

Publikováno v: UPCommons. Portal del coneixement obert de la UPC
Universitat Politècnica de Catalunya (UPC)
© Communications in Nonlinear Science and Numerical Simulation, 2019, vol. 71, p. 82-100
Articles publicats (D-IMA)
DUGiDocs – Universitat de Girona
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Recercat. Dipósit de la Recerca de Catalunya

In this paper, we consider the collinear symmetric four-body problem, where four masses m3=α, m1=1, m2=1, and m4=α, α > 0, are aligned in this order and move symmetrically about their center of mass. We introduce regularized variables to deal with

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http://hdl.handle.net/2117/126895

Tails and bridges in the parabolic restricted three-body problem

Autor: Laura Garcia-Taberner, Mercè Ollé, Josep M. Cors, Esther Barrabés

Publikováno v: UPCommons. Portal del coneixement obert de la UPC
Universitat Politècnica de Catalunya (UPC)
Dipòsit Digital de Documents de la UAB
Universitat Autònoma de Barcelona
Recercat. Dipósit de la Recerca de Catalunya
instname
Recercat: Dipósit de la Recerca de Catalunya
Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
Barrabés Vera, Esther Cors i Iglesias, Josep M. Garcia Taberner, Laura Ollé Torner, Mercè 2017 Tails and bridges in the parabolic restricted three-body problem Monthly Notices of the Royal Astronomical Society 472 3 2554 2568
© Monthly Notices of the Royal Astronomical Society, 2017, vol. 472, núm. 3, p. 2554-2568
Articles publicats (D-IMAE)
DUGiDocs – Universitat de Girona

This article has been accepted for publication in Monthly notices of the Royal Astronomical Society ©: 2017 The Authors. Published by Oxford University Press on behalf of the Royal Astronomical Society. All rights reserved. After a close encounter o

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