The Projective Andoyer transformation and the connection between the 4-D isotropic oscillator and Kepler systems

Details The Projective Andoyer transformation and the connection between the 4-D isotropic oscillator and Kepler systems The Projective Andoyer transformation and the connection between the 4-D isotropic oscillator and Kepler systems

2010-11-12

arxiv.org/abs/1011.3000v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

Scientific paper

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.

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