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We consider the recently estimated corrections \Delta\dot\varpi to theNewtonian/Einsteinian secular precessions of the longitudes of perihelia \varpiof several planets of the Solar System in order to evaluate whether they arecompatible with the predicted precessions due to models of long-range modifiedgravity put forth to account for certain features of the rotation curves ofgalaxies without resorting to dark matter. In particular, we consider alogarithmic-type correction and a f(R) inspired power-law modification of theNewtonian gravitational potential. The results obtained by taking the ratio ofthe apsidal rates for different pairs of planets show that the modifications ofthe Newtonian potentials examined in this paper are not compatible with thesecular extra-precessions of the perihelia of the Solar System's planetsestimated by E.V. Pitjeva as solve-for parameters processing almost one centuryof data with the latest EPM ephemerides.

Solar System tests of some models of modified gravity proposed to explain galactic rotation curves without dark matter