Duality properties of Gorringe-Leach equations
Mathematical Physics
2009-02-19 v2 High Energy Physics - Theory
math.MP
Abstract
In the category of motions preserving the angular momentum's direction, Gorringe and Leach exhibited two classes of differential equations having elliptical orbits. After enlarging slightly these classes, we show that they are related by a duality correspondence of the Arnold-Vassiliev type. The specific associated conserved quantities (Laplace-Runge-Lenz vector and Fradkin-Jauch-Hill tensor) are then dual reflections one of the other
Cite
@article{arxiv.0712.3338,
title = {Duality properties of Gorringe-Leach equations},
author = {Yves Grandati and Alain Berard and Herve Mohrbach},
journal= {arXiv preprint arXiv:0712.3338},
year = {2009}
}