Geodesic structure of test particles in different regular black holes

This paper investigates the metrics of existing regular black hole space-times and calculates their effective potentials, plotting the corresponding curves. By analyzing these curves, it identifies all types of geodesic structures for test particles in various regular black hole space-times. Using dynamical equations near black holes, it determines two distinct bound orbits for fixed energy levels in different space-times and identifies stable and unstable circular orbits as the energy approaches critical values. Additionally, it provides escape orbits for fixed energy levels across different space-times. Comparative analysis reveals the fastest and slowest periapsis precession rates, identifies space-times with counterclockwise periapsis precession, and highlights those with the most intricate escape orbits for fixed energy levels.