We have obtained images of 11 fields in the Trapezium cluster with the
Planetary Camera (PC) of the Hubble Space Telescope in order to exten
d Herbig and Terndrup's (1986) study of this prototype, dense embedded
cluster to fainter magnitudes than is possible from the ground. Using
these images, we have identified 319 stars within an area of similar
to 12 arcmin(2) corresponding roughly to a volume of similar to 0.065
pc(3) assuming the duster is approximately spherically symmetric. Our
completeness limits for star identification in V-band and I-band image
s are V similar or equal to 20 and I-C similar or equal to 19 respecti
vely, corresponding to a mass limit of approximately 0.15 M(.) if the
faintest stars have the same average A, as that estimated for the brig
hter stars in the cluster. We have compared the V versus V-I color-mag
nitude diagram derived from the HST photometry to new theoretical isoc
hrones. Star formation in the Trapezium appears to be remarkably coeva
l, with greater than or equal to 80% of the stars having inferred ages
less than 1 Myr. Over the somewhat limited mass range of the observat
ions, there is no evidence for ''bimodal'' star formation-the high- an
d low-mass stars appear to have the same ages. The sharp cores of the
HST images and the small angular size of the PC pixels has allowed us
to identify 35 new visual binaries in the cluster with separations fro
m similar to 0''.06 (-26 AU) to similar to 1''.0 (similar to-440 AU).
For the range of binary separations that we are sensitive to, the obse
rved binary frequency for the Trapezium is essentially identical to th
at estimated for field low-mass stars by Duquennoy and Mayor (1991). T
he most straightforward inference from this result is that binaries in
this separation are unlikely to be formed by a tidal capture process.
We have also identified three stars which have associated compact neb
ulosity visible in the HST images. One of these star + nebulosity case
s was previously identified by O'Dell, Wen, and Hu (1993)-these object
s appear to form a class of objects whose circumstellar matter is bein
g ''lit up,'' most likely by theta(1) Ori C, enabling the gas to be ob
servable at both optical and radio wavelengths (Felli et al. 1993a, b)
. We provide a brief summary of the optical properties of the other ra
dio sources which appear in our PC images.