Comprehensive Geodesic Analysis of Particle Motion around a Non-Singular Black Hole

This study investigates the geodesic trajectories and circular paths of a particle in the vicinity of a non-singular black hole. Examines the impact of the regularization parameter ([Formula: see text]) and the black hole’s mass on geodesics. The research focuses on black hole horizons and calculates the effective potential for both light-like and time-like geodesics. We also analyze geodesic completeness and phase regions in the plane (M, [Formula: see text]), determining that two horizons may exist if [Formula: see text], there is an extremal horizon at [Formula: see text], and no horizon exists when [Formula: see text]. The analysis covers angular momentum, energy, the stability of bound orbits, and the ISCO around the black hole. Additionally, we find that for [Formula: see text], the energy and angular momentum at the ISCO vary only slightly and closely match their GR counterparts. When [Formula: see text], the angular momentum becomes complex, whereas the energy remains real and increases, indicating the disappearance of stable circular orbits due to an overly strong smoothing of spacetime in the core region.