The Projective Andoyer transformation and the connection between the 4-D isotropic oscillator and Kepler systems
Exactly Solvable and Integrable Systems
2010-11-15 v1
Abstract
Extending to 4 degrees of freedom a symplectomorphism used in attitude dynamics it is shown in a direct way the connection between the 4-D isotropic harmonic oscillator and the 3-D Kepler systems. This approach made transparent that only when we refer to rectilinear solutions, the {\sl bilinear relation} defining the KS transformation is needed.
Keywords
Cite
@article{arxiv.1011.3000,
title = {The Projective Andoyer transformation and the connection between the 4-D isotropic oscillator and Kepler systems},
author = {Sebastián Ferrer},
journal= {arXiv preprint arXiv:1011.3000},
year = {2010}
}