Constraining the mass of the graviton with the planetary ephemeris INPOP

We use the planetary ephemeris INPOP17b to constrain the mass of the graviton in the Newtonian limit. We find that the residuals for the Cassini spacecraft significantly (90\% C.L.) degrades for Compton wavelengths of the graviton smaller than $1.83\times 10^{13}$ km, corresponding to a graviton mass bigger than $6.76\times 10^{-23} eV/c^2$. This limit is comparable in magnitude to the one obtained by the LIGO-Virgo collaboration in the radiative regime. We also use this specific example to illustrate why constraints on alternative theories of gravity obtained from postfit residuals are generically overestimated.