  We report on a 10 ksec observation of the double pulsar system J0737-3039
obtained with the Chandra X-ray Observatory's Advanced CCD Imaging
Spectrometer. We detect the system as a point source with coordinates (J2000)
RA = 07:37:51.23, Decl. = -30:39:40.9, making this the first double neutron
star system to be detected at X-ray energies. Only 77 source counts are
detected. The data are represented satisfactorily by a power-law spectrum with
photon index = 2.9 +/- 0.4. The inferred 0.2-10 keV luminosity is approximately
2e30 erg/s for a distance of 0.5 kpc. We do not detect any significant
variability with orbital phase in these data, which span one full orbit. These
results are consistent with the X-ray emission originating solely from the
magnetosphere of the energetic A pulsar, with an efficiency for conversion of
rotational energy to X-rays in this band of roughly 0.04%, although we cannot
exclude other possibilities.
