Quantifying Feedback from Narrow Line Region Outflows in Nearby Active
  Galaxies. III. Results for the Seyfert 2 Galaxies Markarian 3, Markarian 78,
  and NGC 1068
  Outflows of ionized gas driven by active galactic nuclei (AGN) may
significantly impact the evolution of their host galaxies. However, determining
the energetics of these outflows is difficult with spatially unresolved
observations that are subject to strong global selection effects. We present
part of an ongoing study using Hubble Space Telescope (HST) and Apache Point
Observatory (APO) spectroscopy and imaging to derive spatially-resolved mass
outflow rates and energetics for narrow line region (NLR) outflows in nearby
AGN that are based on multi-component photoionization models to account for
spatial variations in the gas ionization, density, abundances, and dust
content. This expanded analysis adds Mrk 3, Mrk 78, and NGC 1068, doubling the
sample in Revalski (2019). We find that the outflows contain total ionized gas
masses of $M \approx 10^{5.5} - 10^{7.5}$ $M_{\odot}$ and reach peak velocities
of $v \approx 800 - 2000$ km s$^{-1}$. The outflows reach maximum mass outflow
rates of $\dot M_{out} \approx 3 - 12$ $M_{\odot}$ yr$^{-1}$ and encompass
total kinetic energies of $E \approx 10^{54} - 10^{56}$ erg. The outflows
extend to radial distances of $r \approx 0.1 - 3$ kpc from the nucleus, with
the gas masses, outflow energetics, and radial extents positively correlated
with AGN luminosity. The outflow rates are consistent with in-situ ionization
and acceleration where gas is radiatively driven at multiple radii. These
radial variations indicate that spatially-resolved observations are essential
for localizing AGN feedback and determining the most accurate outflow
parameters.
