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We perform a post-Newtonian (PN) solar system analysis for Palatini $f(R)$theories considering finite volume non-spherical planets and with emphasis to$f(R)$ functions that are analytical about $R=0$. First we consider theWill-Nordtvedt parametrized post-Newtonian (PPN) formalism, from which themetric is shown to depend, in general, on terms not covered by the standard PPNpotentials. Hence, a full analysis of the PN equations of motion is performed.From the latter we conclude that, apart from redefinitions on the internalenergy and the pressure, which cannot be constrained by solar system tests, thecenter-of-mass orbits are the same as in general relativity. We discuss furtherthe physics of these redefinitions and use an argument to extend our analytical$f(R)$ results towards some non-analytical functions.

Palatini $f(R)$ gravity in the solar system: post-Newtonian equations of motion and complete PPN parameters