We have photometrically monitored similar to 3600 young, low-mass stars in
four 45'x45' fields in the outer Orion Nebula cluster, surrounding but not
including the Trapezium region. The 281 periodic variables we find do not p
roduce the expected bimodal distribution of rotation periods. There is no u
nambiguous correlation of period with I-C - I-S, H - K-S, and U-V color exc
esses or more indirect disk indicators; the slowest rotators are not necess
arily the disk candidates, and the disk candidates are not necessarily the
slow rotators, regardless of how one defines a disk candidate. To the exten
t that the small numbers allow, the disk candidates represent a constant fr
action of the total sample to P = 15 days, beyond which there are no disk c
andidates, inconsistent with the hypothesis that the more slowly rotating s
tars are more likely to have disks. We find an intriguing relationship betw
een specific angular momentum (j) and some excesses, namely, H - K-s excess
es and the strongest U-V excesses; whereas stars are found with j values ra
nging over similar to 10(6)-10(8) km(2) s(-1), disk candidates with these e
xcesses are restricted to 10(6.5) km(2) s(-1) <j <10(7.5) km(2) s(-1). A si
milar relationship is not found for the I-C - K-S disk candidates, or in th
e less excessive U-V candidates. There is no clear correlation between sign
al amplitude and period or log j. Other investigators have found difference
s in period distributions for stars more and less massive than 0.25 M-.; we
find ambiguous evidence for differences in distributions of P and no diffe
rence in those of log j on either side of this boundary, although for stars
more massive than similar to0.6 values M-., values appear to cluster aroun
d j = 10(7) km(2) s(-1). When comparing the log j distribution derived here
with those for other clusters, we find that it is consistent with a popula
tion of stars draining angular momentum into disks. We conclude that disk l
ocking may be operating, but it is not the complete solution to the problem
of angular momentum distributions in young stars. We find weak (1.5-2 sigm
a) evidence for a change in stellar structure, spot coverage, and/or disk c
haracteristics for stars redder than V - I-C similar to2.5 (type similar to
M3, similar to0.25 M-.). We find that at least similar to 10% of the stars
have identical light curves (shape and phase) between the two seasons of o
ur observations, suggesting that the lifetime of the photospheric disturban
ce causing periodic modulations in these stars is at least a year.