This study investigated the entry of solar wind ions into the magnetosphere by following particle orbits from the solar wind through the magnetopause boundary in time-dependent electric and magnetic fields obtained from a 3D global magnetohydrodynamic (MHD) simulation of the magnetosphere; five different orientations of the interplanetary magnetic field (IMF) were considered. We found the region of the upstream solar wind that mapped to the magnetopause entry regions to be parallel to the y-z orientation of the IMF. However, significant asymmetries were caused by the history of the IMF, the orientation of the interplanetary electric field (IEF), the nonadiabatic acceleration of ions at the magnetopause reconnection region, and acceleration by the magnetopause electric fields. Ions generally entered the magnetosphere through extended dayside regions corresponding to the reconnection region for each IMF and were accelerated by that region's electric fields. Entry also occurred along high-latitude open field lines convecting into the magnetotail.