We use latest data from solar system planetary orbital motions to put constraints on some Galileon-induced precessional effects .
Due to the Vainshtein mechanism , the Galileon-type spherically symmetric field of a monopole induces a small , screened correction \propto \sqrt { r } to its usual r ^ { -1 } Newtonian potential which causes a secular precession of the pericenter of a test particle .
In the case of our solar system , latest data from Mars allow to constrain the magnitude of such an interaction down to \alpha \leq 0.3 level , where \alpha corresponds to the non minimal coupling of the Galileon to matter . Another Galileon-type effect which might impact solar system dynamics is due to an unscreened constant gradient induced by the peculiar motion of the Galaxy .
The magnitude of such an effect , depending on the different gravitational binding energies of the Sun and the planets , taken into account by \xi , is \xi \leq 0.004 from the latest bounds on the supplementary perihelion precession of Saturn .