Tails and bridges in the parabolic restricted three-body problem

Abstract After a close encounter of two galaxies, bridges and tails can be seen between or around them. A bridge would be a spiral arm between a galaxy and its companion, whereas a tail would correspond to a long and curving set of debris escaping from the galaxy. The goal of this paper is to presen...

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Vydáno v:	Monthly notices of the Royal Astronomical Society Ročník 472; číslo 3; s. 2554 - 2568
Hlavní autoři:	Barrabés, Esther, Cors, Josep M., Garcia-Taberner, Laura, Ollé, Mercè
Médium:	Journal Article Publikace
Jazyk:	angličtina
Vydáno:	London Oxford University Press 11.12.2017
Témata:	70 Mechanics of particles and systems 70F Dynamics of a system of particles, including celestial mechanics Bridges Celestial mechanics Chaos theory Classificació AMS Collision dynamics Computer simulation Dynamic systems theory Galaxies Galaxies: interactions Galàxies Manifolds Matemàtiques i estadística Mathematical models Mecànica celest Methods: numerical Orbits Parabola Paràbola (Geometria) Problema dels tres cossos Stars & galaxies System theory Three body problem Àrees temàtiques de la UPC Òrbites methods: numerical galaxies: interactions celestial mechanics
ISSN:	0035-8711, 1365-2966
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Abstract	Abstract After a close encounter of two galaxies, bridges and tails can be seen between or around them. A bridge would be a spiral arm between a galaxy and its companion, whereas a tail would correspond to a long and curving set of debris escaping from the galaxy. The goal of this paper is to present a mechanism, applying techniques of dynamical systems theory, that explains the formation of tails and bridges between galaxies in a simple model, the so-called parabolic restricted three-body problem, i.e. we study the motion of a particle under the gravitational influence of two primaries describing parabolic orbits. The equilibrium points and the final evolutions in this problem are recalled,and we show that the invariant manifolds of the collinear equilibrium points and the ones of the collision manifold explain the formation of bridges and tails. Massive numerical simulations are carried out and their application to recover previous results are also analysed.
AbstractList	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 of two galaxies, bridges and tails can be seen between or around them. A bridge would be a spiral arm between a galaxy and its companion, whereas a tail would correspond to a long and curving set of debris escaping from the galaxy. The goal of this paper is to present a mechanism, applying techniques of dynamical systems theory, that explains the formation of tails and bridges between galaxies in a simple model, the so-called parabolic restricted three-body problem, i.e. we study the motion of a particle under the gravitational influence of two primaries describing parabolic orbits. The equilibrium points and the final evolutions in this problem are recalled,and we showthat the invariant manifolds of the collinear equilibrium points and the ones of the collision manifold explain the formation of bridges and tails. Massive numerical simulations are carried out and their application to recover previous results are also analysed. Peer Reviewed AbstractAfter a close encounter of two galaxies, bridges and tails can be seen between or around them. A bridge would be a spiral arm between a galaxy and its companion, whereas a tail would correspond to a long and curving set of debris escaping from the galaxy. The goal of this paper is to present a mechanism, applying techniques of dynamical systems theory, that explains the formation of tails and bridges between galaxies in a simple model, the so-called parabolic restricted three-body problem, i.e. we study the motion of a particle under the gravitational influence of two primaries describing parabolic orbits. The equilibrium points and the final evolutions in this problem are recalled,and we show that the invariant manifolds of the collinear equilibrium points and the ones of the collision manifold explain the formation of bridges and tails. Massive numerical simulations are carried out and their application to recover previous results are also analysed. Abstract After a close encounter of two galaxies, bridges and tails can be seen between or around them. A bridge would be a spiral arm between a galaxy and its companion, whereas a tail would correspond to a long and curving set of debris escaping from the galaxy. The goal of this paper is to present a mechanism, applying techniques of dynamical systems theory, that explains the formation of tails and bridges between galaxies in a simple model, the so-called parabolic restricted three-body problem, i.e. we study the motion of a particle under the gravitational influence of two primaries describing parabolic orbits. The equilibrium points and the final evolutions in this problem are recalled,and we show that the invariant manifolds of the collinear equilibrium points and the ones of the collision manifold explain the formation of bridges and tails. Massive numerical simulations are carried out and their application to recover previous results are also analysed.
Author	Ollé, Mercè Cors, Josep M. Barrabés, Esther Garcia-Taberner, Laura
Author_xml	– sequence: 1 givenname: Esther surname: Barrabés fullname: Barrabés, Esther organization: 1Universitat de Girona, Escola Politècnica Superior, E-17071 Girona, Spain – sequence: 2 givenname: Josep M. surname: Cors fullname: Cors, Josep M. organization: 2Universitat Politècnica de Catalunya, Escola Politècnica Superior d'Enginyeria de Manresa, E-08242 Manresa, Spain – sequence: 3 givenname: Laura orcidid: 0000-0002-0325-7456 surname: Garcia-Taberner fullname: Garcia-Taberner, Laura email: laura.garcia@udg.edu organization: 1Universitat de Girona, Escola Politècnica Superior, E-17071 Girona, Spain – sequence: 4 givenname: Mercè surname: Ollé fullname: Ollé, Mercè organization: 3Universitat Politècnica de Catalunya, Escola Tècnica Superior d'Enginyeria Industrial de Barcelona, E-08028 Barcelona, Spain
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Snippet	Abstract After a close encounter of two galaxies, bridges and tails can be seen between or around them. A bridge would be a spiral arm between a galaxy and its... AbstractAfter a close encounter of two galaxies, bridges and tails can be seen between or around them. A bridge would be a spiral arm between a galaxy and its... This article has been accepted for publication in Monthly notices of the Royal Astronomical Society ©: 2017 The Authors. Published by Oxford University Press...
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SubjectTerms	70 Mechanics of particles and systems 70F Dynamics of a system of particles, including celestial mechanics Bridges Celestial mechanics Chaos theory Classificació AMS Collision dynamics Computer simulation Dynamic systems theory Galaxies Galaxies: interactions Galàxies Manifolds Matemàtiques i estadística Mathematical models Mecànica celest Methods: numerical Orbits Parabola Paràbola (Geometria) Problema dels tres cossos Stars & galaxies System theory Three body problem Àrees temàtiques de la UPC Òrbites
Title	Tails and bridges in the parabolic restricted three-body problem
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