Formation of Bridges and Tails in Interacting Galaxies

Namboodiri, P. M. S.; Kochhar, Rajesh; Alladin, S. M.

doi:10.1007/978-94-009-2917-3_60

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“…This approach of the dynamics of the close encounters for two galaxies has 10 been used, for example, by Condon et al in [2], in the case of the galaxies UGC 12914 and 12915, or by Günthardt et al in [7], for the system AM1003-435. The parabolic model has been also used in the study of the formation of planetary systems.…”

Section: Introductionmentioning

confidence: 99%

“…In particular, the bridges and tails seen in some multiple galaxies are just relics of close encoun- 5 ters. The consequences of the brief but violent tidal forces have been studied by Toomre and Toomre in [16] and by Namboodiri et al in [10] considering a simple-minded fashion: each encounter is considered to involve only two galaxies describing a roughly parabolic path.…”

Section: Introductionmentioning

confidence: 99%

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Dynamics of the parabolic restricted three-body problem

Barrabés

Cors

Ollé

2015

Communications in Nonlinear Science and Numerical Simulation

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The main purpose of the paper is the study of the motion of a massless body attracted, under the Newton's law of gravitation, by two equal masses moving in parabolic orbits all over in the same plane, the planar parabolic restricted three-body problem. We consider the system relative to a rotating and pulsating frame where the equal masses (primaries) remain at rest. The system is gradient-like and has exactly ten hyperbolic equilibrium points lying on the boundary invariant manifolds corresponding to escape of the primaries in past and future time. The global flow of the system is described in terms of the final evolution (forwards and backwards in time) of the solutions. The invariant manifolds of the equilibrium points play a key role in the dynamics. We study the connections, restricted to the invariant boundaries, between the invariant manifolds associated to the equilibrium points. Finally we study numerically the connections in the whole phase space, paying special attention to capture and escape orbits. AbstractThe main purpose of the paper is the study of the motion of a massless body attracted, under the Newton's law of gravitation, by two equal masses moving in parabolic orbits all over in the same plane, the planar parabolic restricted three-body problem. We consider the system relative to a rotating and pulsating frame where the equal masses (primaries) remain at rest. The system is gradient-like and has exactly ten hyperbolic equilibrium points lying on the boundary invariant manifolds corresponding to escape of the primaries in past and future time. The global flow of the system is described in terms of the final evolution (forwards and backwards in time) of the solutions. The invariant manifolds of the equilibrium points play a key role in the dynamics. We study the connections, restricted to the invariant boundaries, between the invariant manifolds associated to the equilibrium points. Finally we study numerically the connections in the whole phase space, paying special attention to capture and escape orbits.

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Section: Introductionmentioning

confidence: 99%