We evaluate the exposure during nadir observations with JEM-EUSO, the Extreme Universe Space Obser-\ud
vatory, on-board the Japanese Experiment Module of the International Space Station. Designed as a mis-\ud
sion to explore the extreme energy Universe from space, JEM-EUSO will monitor the Earth’s nighttime\ud
atmosphere to record the ultraviolet light from tracks generated by extensive air showers initiated by\ud
ultra-high energy cosmic rays. In the present work, we discuss the particularities of space-based obser-\ud
vation and we compute the annual exposure in nadir observation. The results are based on studies of the\ud
expected trigger aperture and observational duty cycle, as well as, on the investigations of the effects of\ud
clouds and different types of background light. We show that the annual exposure is about one order of\ud
magnitude higher than those of the presently operating ground-based observatories
We present eight monitoring seasons of the four brightest images of the gravitational lens SDSS J1004+4112 observed between December 2003 and October 2010. Using measured time delays for the images A, B and C and the model predicted time delay for image D we have removed the intrinsic quasar variability, finding microlensing events of about 0.5 and 0.7 mag of amplitude in the images C and D. From the statistics of microlensing amplitudes in images A, C, and D, we have inferred the half-light radius (at λ rest = 2407Å) for the accretion disk using two different methods, R 1/2 = 8.7 +18.5 −5.5 √ M/0.3M (histograms product) and R 1/2 = 4.2 +3.2 −2.2 √ M/0.3M light-days (χ 2 ). The results are in agreement within uncertainties with the size predicted from the black hole mass in SDSS J1004+4112 using the thin disk theory.
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