The space motions of Mira variables are derived from radial velocities, Hip
parcos proper motions and a period-luminosity relation. The previously know
n dependence of Mira kinematics on the period of pulsation is confirmed and
refined. In addition, it is found that Miras with periods in the range 145
-200 d in the general Solar neighbourhood have a net radial outward motion
from the Galactic Centre of 75 +/- 18 km s(-1). This, together with a lag b
ehind the circular velocity of Galactic rotation of 98 +/- 19 km s(-1), is
interpreted as evidence for an elongation of their orbits, with their major
axes aligned at an angle of similar to 17 degrees with the Sun-Galactic Ce
ntre line, towards positive Galactic longitudes. This concentration seems t
o be a continuation to the Solar circle and beyond of the bar-like structur
e of the Galactic bulge, with the orbits of some local Miras probably penet
rating into the bulge. These conclusions are not sensitive to the distance
scale adopted. A further analysis is given of the short-period (SP) red gro
up of Miras discussed in companion papers in this series. In Appendix A the
mean radial velocities and other data for 842 oxygen-rich Mira-like variab
les are tabulated. These velocities were derived from published optical and
radio observations.