  Dwarf Irregular galaxies (dIrrs) are the smallest stellar systems with
extended HI discs. The study of the kinematics of such discs is a powerful tool
to estimate the total matter distribution at these very small scales. In this
work, we study the HI kinematics of 17 galaxies extracted from the `Local
Irregulars That Trace Luminosity Extremes, The HI Nearby Galaxy Survey' (LITTLE
THINGS). Our approach differs significantly from previous studies in that we
directly fit 3D models (two spatial dimensions plus one spectral dimension)
using the software $^\text{3D}$BAROLO, fully exploiting the information in the
HI datacubes. For each galaxy we derive the geometric parameters of the HI disc
(inclination and position angle), the radial distribution of the surface
density, the velocity-dispersion ($\sigma_v$) profile and the rotation curve.
The circular velocity (V$_{\text{c}}$), which traces directly the galactic
potential, is then obtained by correcting the rotation curve for the asymmetric
drift. As an initial application, we show that these dIrrs lie on a baryonic
Tully-Fisher relation in excellent agreement with that seen on larger scales.
The final products of this work are high-quality, ready-to-use kinematic data
($\textrm{V}_\textrm{c}$ and $\sigma_v$) that we make publicly available. These
can be used to perform dynamical studies and improve our understanding of these
low-mass galaxies.

Astrophysics of Galaxies