The classical Kepler problem in momentum space

Physics

Scientific paper

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Function Theory, Analysis

Scientific paper

Contrary to a current opinion, it is shown that the integration of a problem of classical mechanics can be as easy in momentum space as in configuration space. This is demonstrated with the Kepler problem, thus rendering a new very simple integration of it. The results strongly suggest that we consider both Laplace vectors, if dynamical invariance symmetries of the Kepler problem are to be studied.

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