Yes, I understand how the sun's path through the sky works. It's why I suggested running simulations to trace the path of the reflection. I didn't say it was a simple solution, I said it would be a brilliant solution. ;)

Up, up the long, delirious burning blue
I've topped the wind-swept heights
with easy grace
Where never lark, or ever eagle flew —
And, while with
silent, lifting mind I've trod
The high untrespassed sanctity of
space,
Put out my hand, and
touched the face of God.