Exercise 1: Below, you will calculate masses for two supermassive black holes from the given light curves of two different active galaxies. For each of the following light curve graphs, you will first measure the time it takes to go from a maximum point to a minimum point and back to the next maximum. This should be done 3 separate times on each graph to get a better statistical measurement for the variability of each black hole. Record your results in Tables 1 and 2. Summarized Instructions: Sketch a curve (like a sine wave) over the plotted data of each light curve Find a set of maximum (crest) to minimum (trough) back to a crest three times total (3 trials) . Find how long it takes to go from one maximum to the next maximum (on the x-axis, in hours) Record this number as the time span for each "trial" in the table space provided Use that time span value (t) to calculate the Radius of the SMBH, and record it in the table Use the calculated Radius to solve for the Mass, and record it in the table Average the values for your time, radius, and mass to find a final answer. Light Curve 2 -1.5[ - 1.0 A magnitude -0.5 .... 0.0 0.5 L 1 2 3 4 time (hours) Light curve of Markarian 421. Table 2: Data Table for Markarian 421 (8 points total, 1.5 point for each table entry): Trials Time Span (t) Radius R. Mass M. (measure crest (in hours) (in AU) (in solar mass) to the crest (max1 to max2) 2 (max2 to max3) (max3 to max4) Average