We present the results of 3D, Newtonian hydrodynamic calculations of the la
st stages of the inspiral and the final coalescence of neutron star binary
systems. Our focus is on slightly asymmetric systems, where the asymmetry s
tems from either different masses (1.3 and 1.4 M.) or spins of both compone
nts. Almost immediately after contact a fast rotating, very massive central
object forms. All calculations exhibit baryonic masses above 2.3 Mo, thus
based on our calculations it is not possible to decide on the fate of the c
entral core of the merged configuration. It might collapse immediately to a
black hole, but also the creation of a supermassive neutron star with simi
lar to 2.8 M. Mo Cannot firmly be excluded. Depending on the asymmetry of t
he system the central object receives a kick of several hundred kilometers
per second. Different spins of both components do not jeopardize the format
ion of (to within numerical resolution) baryon free funnels above the poles
of the central objects. In the case of different masses the less massive c
omponents get disrupted and engulf the more massive companions that stay ra
ther unaffected by the collision. The amount of ejected material is in a si
milar range as for symmetric systems and could contribute substantially to
the enrichment of the Galaxy with heavy r-process elements. Test calculatio
ns indicate that the amount of ejected material is basically determined by
the high density behaviour of the nuclear equation of state.
Test calculations for the hybrid artificial viscosity scheme that is used f
or this work are given in the appendix.