  We investigate the geodesic motions of timelike particles around a static
hairy black hole with conformally coupled scalar field. We mainly focus on the
effects of the scalar charge and electric charge on the marginally bound orbits
(MBO), innermost stable circular orbits (ISCO) and on the precessing orbits
around this black hole. Our results show that both the scalar and electric
charges suppress the energy as well as the angular momentum of the particles in
the bound orbits. Then, we study the relativistic periastron precessions of the
particles and constrain the charge parameters by employing the observational
result of the S2 star's precession in SgrA*. It is found that the constraints
on the charge parameters from S2 star's motion are tighter than those from
black hole shadow. Finally, we analyze the periodic motions of the particles
and figure out samples of periodic orbits' configurations around the hairy
black hole.
