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Dynamics of perturbed equilateral and collinear configurations of three point vortices

Dynamics of perturbed equilateral and collinear configurations of three point vortices Using the technique of asymptotic expansions, we calculate trajectories of three point vortices in the vicinity of stable equilateral or collinear configurations. We show that in an appropriate rotating coordinate system each vortex moves in an elliptic orbit. The orbits of the vortices have equal eccentricities. The angle and ratio between the major axes of any two orbits have a simple analytic representation. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Regular and Chaotic Dynamics Springer Journals

Dynamics of perturbed equilateral and collinear configurations of three point vortices

Regular and Chaotic Dynamics , Volume 13 (2) – Apr 18, 2008

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References (3)

Publisher
Springer Journals
Copyright
Copyright © 2008 by MAIK Nauka
Subject
Mathematics; Dynamical Systems and Ergodic Theory
ISSN
1560-3547
eISSN
1468-4845
DOI
10.1134/S1560354708020032
Publisher site
See Article on Publisher Site

Abstract

Using the technique of asymptotic expansions, we calculate trajectories of three point vortices in the vicinity of stable equilateral or collinear configurations. We show that in an appropriate rotating coordinate system each vortex moves in an elliptic orbit. The orbits of the vortices have equal eccentricities. The angle and ratio between the major axes of any two orbits have a simple analytic representation.

Journal

Regular and Chaotic DynamicsSpringer Journals

Published: Apr 18, 2008

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