We investigate the capability of LISA to measure the sky position of equal-mass , nonspinning black hole binaries , combining for the first time the entire inspiral-merger-ringdown signal , the effect of the LISA orbits , and the complete three-channel LISA response .
We consider an ensemble of systems near the peak of LISA ’ s sensitivity band , with total rest mass of 2 \times 10 ^ { 6 } { M } _ { \odot } , a redshift of z = 1 , and randomly chosen orientations and sky positions .
We find median sky localization errors of approximately \sim 3 arcminutes .
This is comparable to the field of view of powerful electromagnetic telescopes , such as the James Webb Space Telescope , that could be used to search for electromagnetic signals associated with merging massive black holes .
We investigate the way in which parameter errors decrease with measurement time , focusing specifically on the additional information provided during the merger-ringdown segment of the signal .
We find that this information improves all parameter estimates directly , rather than through diminishing correlations with any subset of well-determined parameters .
Although we have employed the baseline LISA design for this study , many of our conclusions regarding the information provided by mergers will be applicable to alternative mission designs as well .