  We present the first simulation addressing the prospects of finding an
electromagnetic (EM) counterpart to gravitational wave detections (GW) during
the early years of only two advanced interferometers. The perils of such a
search may have appeared insurmountable when considering the coarse ring-shaped
GW localizations spanning thousands of deg^2 using time-of-arrival information
alone. We show that leveraging the amplitude and phase information of the
predicted GW signal narrows the localization to arcs with a median area of only
~250 deg^2, thereby making an EM search tractable. Based on the locations and
orientations of the two LIGO detectors, we find that the GW sensitivity is
limited to one polarization and thus to only two sky quadrants. Thus, the rates
of GW events with two interferometers is only ~40% of the rate with three
interferometers of similar sensitivity. Another important implication of the
sky quadrant bias is that EM observatories in North America and Southern Africa
would be able to systematically respond to GW triggers several hours sooner
than Russia and Chile. Given the larger sky areas and the relative proximity of
detected mergers, 1m-class telescopes with very wide-field cameras are well
positioned for the challenge of finding an EM counterpart. Identification of
the EM counterpart amidst the even larger numbers of false positives further
underscores the importance of building a comprehensive catalog of foreground
stellar sources, background AGN and potential host galaxies in the local
universe.
