We report on high spectral and spatial resolution kinematic observatio
ns of Her emission from the Cartwheel system obtained with a scanning
Fabry-Perot interferometer. Velocity fields for two galaxies were meas
ured, for the main galaxy of the system, the Cartwheel galaxy, and for
a spiral companion similar to 25 h(-1) kpc to the north. The velocity
field and the rotation curve of the spiral companion shows classical
differential rotation and indicates the mass of the galaxy to be in th
e range 2.9 - 4.8 x 10(9) M circle dot. The Cartwheel galaxy contains
strong H alpha in emission asymmetrically distributed along its outer
ring, with some faint emission detected inside it. The velocity field
and the rotation curve of the Cartwheel galaxy is clearly dominated by
differential rotation although second-order effects cause distortions
which can be understood in a scenario where expansion and density-wav
e motions are also considered. Our best model-fit to the observed velo
city field of the Cartwheel galaxy includes three components for the k
inematic of its outer ring: a circular velocity of 217 km s(-1), an ex
pansion velocity of 13-30+/-10 km s(-1) and a sinusoidal perturbation
with an amplitude of 20+/-5 km s(-1). This expansion velocity, lower t
han found in previous studies, implies that the ring could be older th
an previously thought. The rotation curve of the Cartwheel galaxy is c
onsistent with a progenitor which had the morphology of a late-type sp
iral galaxy. Our measurements support the collisional models of ring g
alaxy formation and should impose strong constraints to simulations.