The solar window throughout all seasons that provides the most direct sunlight to my spot on the lawn is from 8:00 AM to 12:00PM. In the winter, when the sun is lower in the sky, it takes a little longer for the sunlight to reach the lawn as it rises in the morning. This is because the pavilion and colonnade to the right of the rotunda block it from around 7:00AM to 8:00AM. In the summer, since the sun is higher in the sky, it rises above the colonnade earlier and is filtered through a tree during this same hour. In January and December the sun has the shortest solar window of uninterrupted, direct morning sunlight, which ends around 11:00 AM when the tip of a small tree gets in its way. In February, March, September, and October the direct sunlight from the morning ends around 12:30PM when some of the larger trees on the lawn interrupt it. In the warmer months of April through August (also when the suns angle is the highest) the window of direct morning sun is the largest and the rays are interrupted around 1:00PM with these same large trees. From 1:00PM to 2:30PM throughout the year the sunlight is filtered through these trees, creating dappled light in the summer and spring and more harsh light in the cooler months when the trees have less leaves. From 2:30 to 4:30 during all seasons the sun is direct once again. In the winter the sun disappears from the site around 4:30. In the more temporal months the sun first passes through trees at 4:30 then disappears behind the colonnade at 5:30; And in the summer the sun disappears at 6:00.
If I were to design on this site, I would love to take advantage of the seasonally changing tree cover that influences the amount of sunlight on the lawn so much. I think if I were to design a terrace or outdoor sitting area for my structure I would place it in the dappled sunlight produced from 12:30PM to 2:30PM year round. Perhaps I would create an outdoor café area since these are prime lunch hours. This space would be a pleasant place to be because in the summer the fuller trees would almost completely shade you from the direct rays, and in the winter they would allow the sun to warm you. When considering the enclosed program of my building, I would place larger windows on the east to take advantage of the direct sunlight that lasts from 8:00 to 12:00. This would brighten the room in the morning to help students wake up and focus more on what they might be doing in that room.