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We investigate the orbit equations and the eikonal equation for lightrespectively, under influence of the hairy black holes (asymptotically flat) infour dimensions. We consider two hairy black hole solutions with non-trivialpotentials, and one of these solutions has Schwarzschild case as a smoothlimit. Following to Landau and Lifshitz, we use the Hamilton-Jacobi method, andwe show hairy corrections for periapsis shift, where the effect of the hair isto increase it. In the same way, using the eikonal equation we show thedeflection of the light and the relevant scalar hair corrections. Interestinglywe find that the hair screening the gravitational field, decreasing the angleof deflection as the hair increases.

Periapsis shift and deflection of light by hairy black holes