Dynamics of the Laplace-Runge-Lenz vector in the quantum-corrected Newton gravity

Understand

Recently it was shown that quantum corrections to the Newton potential can explain the rotation curves in spiral galaxies without introducing the Dark Matter halo.

• The unique phenomenological parameter $\al\nu$ of the theory grows with the mass of the galaxy.
• In order to better investigate the mass-dependence of $\al\nu$ one needs to check the upper bound for $\al\nu$ at a smaller scale.
• Here we perform the corresponding calculation by analyzing the dynamics of the Laplace-Runge-Lenz vector.