Exploring the outskirts of globular clusters: the peculiar kinematics of
  NGC 3201
  The outskirts of globular clusters (GCs) simultaneously retain crucial
information about their formation mechanism and the properties of their host
galaxy. Thanks to the advent of precision astrometry both their morphological
and kinematic properties are now accessible. Here we present the first
dynamical study of the outskirts of the retrograde GC NGC 3201 until twice its
Jacobi radius (< 100 pc), using specifically-selected high-quality astrometric
data from Gaia DR2. We report the discovery of a stellar overdensity along the
South-East/North-West direction that we identify as tidal tails. The GC is
characterized globally by radial anisotropy and a hint of isotropy in the outer
parts, with an excess of tangential orbits around the lobes corresponding to
the tidal tails, in qualitative agreement with an N-body simulation. Moreover,
we measure flat velocity dispersion profiles, reaching values of $3.5\pm0.9$
km/s until beyond the Jacobi radius. While tidal tails could contribute to such
a flattening, this high velocity dispersion value is in disagreement with the
expectation from the sole presence of potential escapers. To explain this
puzzling observation, we discuss the possibility of an accreted origin of the
GC, the presence of a dark matter halo --leftover of its formation at high
redshift -- and the possible effects of non-Newtonian dynamics. Our study
uncovers a new path for the study of GC formation and of the properties of the
Milky Way potential in the era of precision astrometry.
