Abstract
In this paper, the numerical results concerning dierent orbits of a 3D axisymmetric non-rotating galactic potential are presented. We use Paczy nski’s gravitational potential with dierent birth velocity distributions for the isolated old Neutron Star (NS) population. We note some smooth non-constant segments corresponding to regular orbits as well as the characterization of their chaoticity. This is strongly related to the eect of dierent kick velocities due to supernovae mass-loss and natal kicks to the newlyformed NS. We further conrm that the dynamical motion of the isolated old NSs in the gravitational eld becomes obvious, with some signicant diraction in the symmetry of their orbital characteristics.
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