Some of the spherically symmetric solutions to the Einstein–Klein–Gordon (EKG) equations can describe the astronomical soliton objects made of a real time-dependent scalar fields. The solutions are known as oscillatons which are non-singular satisfying the flatness conditions asymptotically with periodic (separated) timedependency. In this paper, we investigate the geodesic motion around an oscillaton. The Spherically Symmetric Geometry allows the bound orbits in the plan θ = π/2 under a given initial conditions. The potential for the scalar field Φ = Φ(r, t), is an exponential function of the form V (Φ) = V0 exp(λ √ k0Φ).
