The Kepler system as a reduced 4D harmonic oscillator

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Abstract

In this note it is shown how to obtain the Kepler system by geometric reduction of the 4DOF harmonic oscillator. It is shown that this reduction is a reverse KS regularization. It is furthermore shown how the integrals for the Kepler system can be represented as integrals of the harmonic oscillator. Also a representation of the Delaunay elements is computed.
Original languageEnglish
Place of PublicationEindhoven
PublisherTechnische Universiteit Eindhoven
Number of pages18
Publication statusPublished - 2013

Publication series

NameCASA-report
Volume1323
ISSN (Print)0926-4507

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