  We present a series of simulations to demonstrate that high-fidelity
velocity-delay maps of the emission-line regions in active galactic nuclei can
be obtained from time-resolved spectrophotometric data sets like those that
will arise from the proposed Kronos satellite. While previous
reverberation-mapping experiments have established the size scale R of the
broad emission-line regions from the mean time delay t = R/c between the line
and continuum variations and have provided strong evidence for supermassive
black holes, the detailed structure and kinematics of the broad-line region
remain ambiguous and poorly constrained. Here we outline the technical
improvements that will be required to successfully map broad-line regions by
reverberation techniques. For typical AGN continuum light curves, characterized
by power-law power spectra P(f) ~ f^{-a} with a = -1.5 +/- 0.5, our simulations
show that a small UV/optical spectrometer like Kronos will clearly distinguish
between currently viable alternative kinematic models. From spectra sampling at
time intervals T_res and sustained for a total duration T_dur, we can
reconstruct high-fidelity velocity-delay maps with velocity resolution
comparable to that of the spectra, and delay resolution ~2 T_res, provided
T_dur exceeds the BLR crossing time by at least a factor of three. Even very
complicated kinematical models, such as a Keplerian flow with superimposed
spiral wave pattern, are cleanly resolved in maps from our simulated Kronos
datasets. Reverberation mapping with Kronos data is therefore likely deliver
the first clear maps of the geometry and kinematics in the broad emission-line
regions 1-100 microarcseconds from supermassive black holes.
