We present an analysis of survey observations targeting the leading L4 Jupiter Trojan cloud near opposition using the wide-field Suprime-Cam CCD camera on the 8.2 m Subaru Telescope .
The survey covered about 38 deg ^ { 2 } of sky and imaged 147 fields spread across a wide region of the L4 cloud .
Each field was imaged in both the g ^ { \prime } and the i ^ { \prime } band , allowing for the measurement of g - i color .
We detected 557 Trojans in the observed fields , ranging in absolute magnitude from H = 10.0 to H = 20.3 .
We fit the total magnitude distribution to a broken power law and show that the power-law slope rolls over from 0.45 \pm 0.05 to 0.36 ^ { +0.05 } _ { -0.09 } at a break magnitude of H _ { b } = 14.93 ^ { +0.73 } _ { -0.88 } .
Combining the best-fit magnitude distribution of faint objects from our survey with an analysis of the magnitude distribution of bright objects listed in the Minor Planet Center catalog , we obtain the absolute magnitude distribution of Trojans over the entire range from H = 7.2 to H = 16.4 .
We show that the g - i color of Trojans decreases with increasing magnitude .
In the context of the less-red and red color populations , as classified in Wong et al . ( 29 ) using photometric and spectroscopic data , we demonstrate that the observed trend in color for the faint Trojans is consistent with the expected trend derived from extrapolation of the best-fit color population magnitude distributions for bright catalogued Trojans .
This indicates a steady increase in the relative number of less-red objects with decreasing size .
Finally , we interpret our results using collisional modeling and propose several hypotheses for the color evolution of the Jupiter Trojan population .