  The growing availability of increasingly accurate data on transiting
exoplanets suggests the possibility of using these systems as possible testbeds
for modified models of gravity. In particular, we suggest that the
post-Keplerian (pK) dynamical effects from the perturbations of the Newtonian
potential falling off as the square or the cube of the distance from the mass
of the host star break the degeneracy of the anomalistic, draconitic and
sidereal periods. The latter are characteristic temporal intervals in the
motion of a binary system, and all coincide in the purely Keplerian case. We
work out their analytical expressions in presence of the aforementioned
perturbations to yield preliminary insights on the potential of the method
proposed for constraining the modified models of gravity considered. A
comparison with other results existing in the literature is made.
