Elliptical galaxies with rapidly decreasing velocity dispersion
  profiles: NMAGIC models and dark halo parameter estimates for NGC 4494
  NGC 4494 is one of several intermediate-luminosity elliptical galaxies
inferred to have an unusually diffuse dark matter halo. We use the
chi^2-made-to-measure particle code NMAGIC to construct axisymmetric models of
NGC 4494 from photometric and various kinematic data. The extended kinematics
include light spectra in multiple slitlets out to 3.5 R_e, and hundreds of
planetary nebulae velocities out to ~7 R_e, thus allowing us to probe the dark
matter content and orbital structure in the halo. We use Monte Carlo
simulations to estimate confidence boundaries for the halo parameters, given
our data and modelling set-up. We find that the true potential of the dark
matter halo is recovered within Delta G (merit function)<26 (Delta chi^2<59) at
70% confidence level (C.L.), and within Delta G<32 (Delta chi^2<70) at 90%
C.L.. These numbers are much larger than the usually assumed Delta chi^2=2.3
(4.6) for 70% (90%) C.L. for two free parameters, perhaps case-dependent, but
calling into question the general validity of the standard assumptions used for
halo and black hole mass determinations. The best-fitting models for NGC 4494
have a dark matter fraction of about 0.6\pm0.1 at 5R_e (70% C.L.), and are
embedded in a dark matter halo with circular velocity ~200 km/s. The total
circular velocity curve (CVC) is approximately flat at v_c=220 km/s outside
~0.5R_e. The orbital anisotropy of the stars is moderately radial. These
results are independent of the assumed inclination of the galaxy, and edge-on
models are preferred. Comparing with the halos of NGC 3379 and NGC 4697, whose
velocity dispersion profiles also decrease rapidly from the center outwards,
the outer CVCs and dark matter halos are quite similar. NGC 4494 shows a
particularly high dark matter fraction inside ~3R_e, and a strong concentration
of baryons in the center.
