  Motivated by black hole solutions with matter fields outside their horizon,
we study the effect of these matter fields in the motion of massless and
massive particles. We consider as background a four-dimensional asymptotically
AdS black hole with scalar hair. The geodesics are studied numerically and we
discuss about the differences in the motion of particles between the
four-dimensional asymptotically AdS black holes with scalar hair and their
no-hair limit, that is, Schwarzschild AdS black holes. Mainly, we found that
there are bounded orbits like planetary orbits in this background. However, the
periods associated to circular orbits are modified by the presence of the
scalar hair. Besides, we found that some classical tests such as perihelion
precession, deflection of light and gravitational time delay have the standard
value of general relativity plus a correction term coming from the cosmological
constant and the scalar hair. Finally, we found a specific value of the
parameter associated to the scalar hair, in order to explain the discrepancy
between the theory and the observations, for the perihelion precession of
Mercury and light deflection.
