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This paper investigates the metric of previously proposed regular blackholes, calculates their effective potentials, and plots the curves of theeffective potentials. By determining the conserved quantities, the dynamicalequations for particles and photons near the black hole are derived. Theanalysis encompasses timelike and null geodesics in different spacetimes,including bound geodesics, unstable circular geodesics, stable circulargeodesics, and escape geodesics. The findings are presented through figures andtables. Furthermore, the bound geodesics of the four regular black holespacetimes are analyzed, examining the average distance of particle orbits fromthe center of the event horizon, the precession behavior of the perihelion, andthe probability of particles appearing inside the outer event horizon duringmotion. Based on these analyses, a general formula is proposed, which yieldsthe existing metrics when specific parameter values are chosen. The impact ofparameter variations on the effective potential and geodesics is then computedusing this new formula.

Different Regular Black Holes: Geodesic Structures of Test Particles