  We analyze 1187 observations of about 860 unique candidate Jovian Trojan
asteroids listed in the 3rd release of Sloan Digital Sky Survey (SDSS) Moving
Object Catalog. The sample is complete at the faint end to r=21.2 mag (apparent
brightness) and H=13.8 (absolute brightness, approximately corresponding to 10
km diameter). A subset of 297 detections of previously known Trojans were used
to design and optimize a selection method based on observed angular velocity
that resulted in the remaining objects. Using a sample of objects with known
orbits, we estimate that the candidate sample contamination is about 3%. The
well-controlled selection effects, the sample size, depth and accurate
five-band UV-IR photometry enabled several new findings and the placement of
older results on a firmer statistical footing. We find that there are
significantly more asteroids in the leading swarm (L4) than in the trailing
swarm (L5): N(L4)/N(L5)=1.6$\pm$0.1, independently of limiting object's size.
The overall counts normalization suggests that there are about as many Jovians
Trojans as there are main-belt asteroids down to the same size limit, in
agreement with earlier estimates. We find that Trojan asteroids have a
remarkably narrow color distribution (root-mean-scatter of only $\sim$0.05 mag)
that is significantly different from the color distribution of the main-belt
asteroids. The color of Trojan asteroids is correlated with their orbital
inclination, in a similar way for both swarms, but appears uncorrelated with
the object's size. We extrapolate the results presented here and estimate that
Large Synoptic Survey Telescope will determine orbits, accurate colors and
measure light curves in six photometric bandpasses for about 100,000 Jovian
Trojan asteroids.
