We explore an accretion origin for \omega Cen by N-body modeling of the orbital decay and disruption of a Milky-Way dwarf satellite . This work is focused on studying a particular satellite model that aims to reproduce the present orbit of \omega Cen , as recently determined from absolute proper motions . The model satellite is launched from 58 kpc from the Galactic Center , on a radial , low-inclination orbit . We find that a capture scenario can produce an \omega Cen-like object with the current low-energy orbit of the cluster . Our best model is a nucleated dwarf galaxy with a Hernquist density profile that has a mass of 8 \times 10 ^ { 9 } M _ { \odot } , and a half-mass radius of 1.4 kpc .