We use a detailed computer simulation of the galactic pulsar populatio
n to estimate the number of neutron star-neutron star (NS-NS) binaries
in the Galaxy. Our calculations are based on the three known systems
of this class, PSRs B1534+12, B1913+16 and B2303+46, and use the lates
t results from sensitive pulsar surveys covering a large area of sky.
We estimate that there are similar to 240 potentially observable NS-NS
binaries in the Galaxy. As B1534+12 and B1913+16 will eventually merg
e due to the emission of gravitational radiation in a known time-scale
, we can deduce the galactic merging rate R of NS-NS binaries; we esti
mate R similar to 10(-7) yr(-1). Taking account of several factors whi
ch affect the number of NS-NS systems that can be detected, we arrive
at a more realistic nominal value of R similar to 3 x 10(-6) yr(-1). T
hus we have to look far beyond the Galaxy to the Gpc range in order to
witness several NS-NS star mergings per year. The next generation of
gravitational wave detectors are expected to have sensitivities approa
ching that required to probe to such distances.