HW3 Q3 (Danny LeBrun)

I used MATLAB to create my program for determining the next transits for HAT-P 36, Julian Days, using its most recent transit and its period as known values. For the transit values I focused on the midpoint of each event. The known value was on March 9th which is 2458186.69169 in Julian Days. The period for the exoplanet is 1.327347, so basically to find the next transit you add the period to it, at least according to the NASA Exoplanet Archive. I realized that a decimal amount between 0.5 and 0.92 correlates with night at the location of GMU so I incorporated that into my code to weed out some values by using tmp and modulo as you can see below:
I used 20 iterations in hopes to find at least 5 potentially observable transits from our location. This provided results shown below (not complete results since I couldn't fit it all on the window):
to prove these values are correct I checked with NASA Exoplanet Archive and as you can see:
I was right.
Thus, the next available transit after the 9th is on the Julian Day 2458190.673731, which after converting on your own is the 13th of March.
Now unfortunately, I wasn't able to figure out how to determine the ingress and egress for the transits, but what I can do is show you what equations the NASA Exoplanet archive says they use to calculate it:


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