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We investigate the solar-system constraint on the f(R) theory of modifiedgravity with chameleon mechanism, where f(R) represents the deviation fromgeneral relativity in the gravity action. We obtain a stringent bound to ageneral, non-constant deviation function f(R): -10^{-15} < df/dR < 0 when R ~3*10^5*H0^2, and a loose bound: 0 < R*d(df/dR)/dR < 2/5 when R > 3*10^5*H0^2,by requiring the thin-shell condition in the solar system, particularly in theatmosphere of the Earth. These bounds can be conveniently utilized to test thef(R) models with given functional forms of f(R) and to obtain the constraintson the parameters therein. For demonstration we apply these bounds to severalwidely considered f(R) models. (H0: Hubble constant)

Solar-System Constraints on f(R) Chameleon Gravity