The kepler problem and the isotropic harmonic oscillator

研究成果: 雜誌貢獻文章

2 引文 斯高帕斯(Scopus)

摘要

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.

原文英語
頁(從 - 到)713-219
頁數495
期刊Chinese Journal of Physics
50
發行號5
出版狀態已發佈 - 2012

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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