  GRS 1747-312 is a bright transient X-ray source in the globular cluster
Terzan 6 with quasi-periodic outbursts approximately every 4.5 months. We
carried out 2-60 keV target-of-opportunity observations during eight outbursts
with the Proportional Counter Array on the RXTE satellite, for a total exposure
time of 301 ks, and detect the first unambiguous thermonuclear X-ray bursts
from this source. This identifies the compact accretor in this binary as a
neutron star. The neutron star identification implies that twelve out of
thirteen luminous (above 10^36 erg/s X-ray sources in Galactic globular
clusters harbor neutron stars, with AC211's nature (in M15) remaining elusive.
We observed 24 transitions of eclipses of the X-ray emitting region by the
companion star and are able to improve the accuracy of the orbital period by a
factor of 10^4. The period is P=0.514980303(7) d. We do not detect a period
derivative with an upper limit of |\dot{P}/P|=3X10^-8 yr^{-1}. Archival Chandra
data were analyzed to further refine the X-ray position, and the cluster's
center of gravity was re-determined from optical data resulting in a correction
amounting to 2 core radii. We find that GRS 1747-312 is 0.2+/-0.2 core radii
from the cluster center.
