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We show that Solar System tests can place very strong constraints onK-mouflage models of gravity, which are coupled scalar field models withnontrivial kinetic terms that screen the fifth force in regions of largegravitational acceleration. In particular, the bounds on the anomalousperihelion of the Moon imposes stringent restrictions on the K-mouflageLagrangian density, which can be met when the contributions of higher-orderoperators in the static regime are sufficiently small. The bound on the rate ofchange of the gravitational strength in the Solar System constrains thecoupling strength $\beta$ to be smaller than $0.1$. These two bounds imposetighter constraints than the results from the Cassini satellite and Big BangNucleosynthesis. Despite the Solar System restrictions, we show that it ispossible to construct viable models with interesting cosmological predictions.In particular, relative to $\Lambda$-CDM, such models predict percent-leveldeviations for the clustering of matter and the number density of dark matterhaloes. This makes these models predictive and testable by forthcomingobservational missions.

K-mouflage gravity models that pass Solar System and cosmological constraints