Transformation of Kepler orbits to oscillator orbits and the Hamilton-Jacobi equation

Details Transformation of Kepler orbits to oscillator orbits and the Hamilton-Jacobi equation Transformation of Kepler orbits to oscillator orbits and the Hamilton-Jacobi equation

Aug 1992

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992phla..168..236r&link_type=abstract

Physics Letters A, Volume 168, Issue 4, p. 236-238.

Physics

Scientific paper

I construct a canonical transformation in the extended phase space that
maps orbits of the Kepler problem to orbits of the four-dimensional
oscillator with the corresponding change of space and time coordinates
that transforms the Hamilton-Jacobi equation. This transformation
provides an alternative to the Kustaanheimo-Stiefel transformation.

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