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.
|Number of pages||495|
|Journal||Chinese Journal of Physics|
|Publication status||Published - 2012|
ASJC Scopus subject areas
- Physics and Astronomy(all)