  We present a study of the X-ray sources detected in the vicinity of two
density peaks in the Orion Molecular Cloud 1 (OMC-1) behind the Orion Nebula
Cluster (ONC), as seen in the exceptionally deep (~10 days) exposure of the
Chandra Orion Ultradeep Project (COUP). We focus on a 40"*50" region around the
Becklin-Neugebauer object and Kleinmann-Low nebula (collectively BN-KL) and a
60"*75" region around OMC-1S, a secondary star-forming peak some 90" south of
BN-KL. Forty-three and sixty X-ray sources were detected in BN-KL and OMC-1S,
respectively, of which half and one-third, respectively, were found to be
foreground members of the ONC, while the remaining sources are identified as
obscured X-ray sources with column densities 22<log(NH)/cm^{-2})<24. All but 5
and 18 of these sources have near-infrared stellar counterparts, and 22 of
these appear to be young stellar objects (YSOs). X-ray sources are found close
to four luminous mid-IR sources namely BN, IRc3-i2, IRc2-C, and Source n; their
X-ray variability and spectral properties are typical of coronal activity in
low-mass stars rather than wind emission from massive stars, suggesting that
the X-ray emission may be arising from companions. The X-ray light curve of the
X-ray source close to BN shows a periodicity of ~8.3 days and from an X-ray
image deconvolution of the region around BN, we conclude that either BN itself
or a low mass companion with a projected separation of ~200 AU was detected. On
the other hand, no emission is seen from the bright radio Source I, held by
some to be the main source of luminosity in BN-KL. In OMC-1S, Chandra unveils a
new subcluster of seven YSOs without infrared counterparts (abridged).
