Reduction and unfolding: the Kepler problem
Mathematical Physics
2007-05-23 v3 High Energy Physics - Theory
math.MP
Abstract
In this paper we show, in a systematic way, how to relate the Kepler problem to the isotropic harmonic oscillator. Unlike previous approaches, our constructions are carried over in the Lagrangian formalism dealing with second order vector fields. We therefore provide a tangent bundle version of the Kustaahneimo-Stiefel map.
Cite
@article{arxiv.math-ph/0411014,
title = {Reduction and unfolding: the Kepler problem},
author = {Antonella D'Avanzo and Giuseppe Marmo},
journal= {arXiv preprint arXiv:math-ph/0411014},
year = {2007}
}
Comments
latex2e, 28 pages; misprints corrected