"Symplectic integration had been adopted for orbit tracking in code SimTrack, which has been extensively used for dynamic aperture calculation with beam-beam interaction for the Relativistic Heavy Ion Collider (RHIC). Recently spin motion for protons and synchrotron radiation for electrons have been added to this code. In this talk, the speaker will first review existing spin tracking codes used at BNL, then introduce symplectic integration of orbit motion and implementation of spin tracking based on Thomas-BMT equation. Several tracking examples for AGS (Alternating Gradient Synchrotron), RHIC, and eRHIC will be presented."