By utilizing the symmetries of spacetime, geodesics in a 4D spacetime can be mapped onto geodesics of a lower-dimensional manifold, described by an effective metric. In this presentation, we focus on 4D spacetimes with two Killing vector fields, which allow for a simplified but equivalent description that preserves the essential physical properties of the original spacetime. Specifically, we analyze both null and timelike circular orbits, which are critical for understanding the geometry of spacetime and astrophysical phenomena in strong gravitational fields. Using this framework, we explore the properties of circular orbits in various spacetimes, including black holes and exotic compact objects. This approach provides fresh insights into the stability and dynamics of orbits and serves as a versatile tool for studying complex spacetimes in both analytical and numerical contexts.