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The neutron star motions are based on the undisturbed finitely thick galactic disk gravitational potential model.Two initial conditions,I.e.the locations and velocities,are considered.The Monte Carlo method is employed to separate rich diversities of the orbits of neutron stars into several sorts.The Poincaré section has the potential to play an important role in the diagnosis of the neutron star motion.It has been observed that the increasing ratio of the motion range vertical to the galactic plane to that parallel to the galactic plane results in the irregularity of neutron star motion.