The kepler problem and the isotropic harmonic oscillator

Research output: Contribution to journalArticle

2 Citations (Scopus)


We work out the full correspondence between the Kepler problem and the isotropic harmonic oscillator in Newtonian mechanics by means of a special transformation. We then apply this to get all the details of the Kepler problem from the simple solution of the isotropic harmonic oscillator. The usefulness of this transformation is also exemplified by finding the counterpart of the Laplace-Runge-Lenz vector for the isotropic harmonic oscillator.

Original languageEnglish
Pages (from-to)713-219
Number of pages495
JournalChinese Journal of Physics
Issue number5
Publication statusPublished - 2012


ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this