For gravitation and any inverse-square forces, the Laplace-Runge-Lenz vector is conserved. (see http://en.wikipedia.org/wiki/Laplace-Runge-Lenz_vector" [Broken])(adsbygoogle = window.adsbygoogle || []).push({});

Any conserved quantity is associated with a symmetry of the Hamiltonian with respect to some coordinate, according to the Noether theorem.

I would like to know what this symmetry coordinate(s) is (are) when the conservation of the LRL vector is involved.

Thanks

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# Symmetry behind Laplace-Runge-Lenz vector conservation?

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