The Rutherford cross section and the perihelion shift of Mercury with the Runge-Lenz vector

Physics

Scientific paper

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Scientific paper

It is shown how the Runge-Lenz vector A can be used to give the orbit
equation and the Rutherford cross section without the necessity of
solving differential equations. After that, the Greenberg's method is
applied to obtain the perihelion shift of Mercury using the vector A.
Some suggestions are given in the conclusions.

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