Reduction and unfolding: the Kepler problem
classification
🧮 math-ph
hep-thmath.MP
keywords
keplerproblemapproachesbundlecarriedconstructionsdealingfields
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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.
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