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The Projective Andoyer transformation and the connection between the 4-D isotropic oscillator and Kepler systems
Published 12 Nov 2010 in nlin.SI | (1011.3000v1)
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.
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