We present and analyse space motions and orbits for a sample of 15 gal
actic globular clusters. The absolute proper motions of these clusters
have been determined with respect to reference stars of the new Hippa
rcos system. Orbital integrations in two model potentials for the Gala
xy are considered. The sample shows a mean rotation near 40 km s(-1) i
n the sense of rotation of the galactic disk. Six clusters are however
found to be in retrograde motion. Velocity dispersions are around 104
km s(-1) in the direction of rotation, near 116 km s(-1) in latitudin
al direction and near 127 km s(-1) in radial direction. The orbits of
the clusters preferentially have small axial angular momenta and high
eccentricities, the median of the orbital eccentricities being 0.62. F
rom the spatial extent of the orbits we conclude that the Galaxy must
have a massive halo with a radius of at least 30 kpc. The space densit
y distribution of our sample of clusters as derived from averaging ove
r their orbits resembles the observed space density distribution of th
e total globular cluster system, except for distances less than 4 kpc
from the galactic center. The largest apogalactic distances in the sam
ple reach out to 65 kpc. The orbits provide evidence that the more met
al-rich clusters are concentrated towards the galactic center. The clu
sters with significant retrograde motion have metal abundances between
-1.5 and -2.0 and hence appear to be relatively homogeneous in chemic
al composition. The small subgroup of `young halo' clusters within our
sample is orbiting with a net retrograde rotation of -9 km s(-1). A g
eneral relation between orbital eccentricity and metal-abundance does
not show up in the sample. The observed radii of the clusters are foun
d to be in a well-defined relation to the tidal limits imposed by orbi
tal motion in the galactic field. It is shown that the cluster radii a
re however not uniquely determined by the perigalactic distances, but
involve at least also the geometry of the orbit. (C) 1997 Elsevier Sci
ence B.V.