Erratum to: Eur. Phys. J. C (2018) 78:549 https://doi.org/10.1140/epjc/s10052-018-6011-x

In this Erratum, the wrong expression for the combination of the PPN parameters \(\beta \) and \(\gamma \) in front to the 1PN perihelion precession is corrected.

The correct expression of the combination of the PPN parameters \(\beta \) and \(\gamma \) appearing in Eq. (5) at page 549 of the original article is \(\left( 2+2\gamma -\beta \right) /3\) instead of the incorrect one \(\left( 1+2\gamma -\beta \right) /3\) displayed in the text.