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