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We consider f (R) modified gravity theory incorporating the chameleon mechanism to address galactic dynamics. By employing the metric formalism and utilizing a conformal transformation, we simplify the field equations and describe the extra degree of freedom fₑ via a scalar field (scalaron) with chameleonic behavior. A recently proposed f (R) model is analyzed to illustrate this behavior effectively. Subsequently, the rotational velocity equation including the scalaron's contribution is derived for a test particle in a static, spherically symmetric spacetime. Then we generate rotation curves and fit them to observational data of thirty seven galaxies using two fitting parameters, M₀ and rc, the total mass and core radius of a galaxy respectively.
Mohan et al. (Mon,) studied this question.