The Kepler system as a reduced 4D harmonic oscillator (Q2347280)
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| English | The Kepler system as a reduced 4D harmonic oscillator |
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The Kepler system as a reduced 4D harmonic oscillator (English)
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27 May 2015
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This paper is devoted to the relationship between the Kepler problem and the isotropic 4 DOF harmonic oscillator, especially from the point of view of reduction of the harmonic oscillator. More precisely, the Kepler system is embedded in a higher-dimensional system by what is called \textit{unfolding}. This unfolding is a reverse reduction. Also, the integrals of the Kepler problem are represented as integrals on the harmonic oscillator level.
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symplectic reduction
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harmonic oscillator
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Kepler problem
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