It is geosynchronous. I tried coming up with a methodology using visibility tools, but have only used them a couple of times and couldn't figure out how to ask this question with those tools. The problem I have in seeing how to apply them is that the "Viewshed" is the view of the "observer". I would like to make the satelitte the "Observer", but coming up with the coordinates of this based on a aspect and elevation above the horizon seems problematic in many ways. Additionally the view is not of the ground, but of an object elevated 8 metres above the ground. Alternatively, I make a grid of points in my candidate installation areas to use as "Observers" and iterate through them, using a vertical wall behind my DEM and the 15 degrees above the horizon to class each point as YES/NO. This might work, but seemed like a bunch of prep work was involved just to do a proof of concept.
Neither of these really seem like great ideas so I went with my hillshade based method. I should build some simple 3d geometry and make sure my assumptions were correct I guess.
Unfortunely it can't go on the mountain top.... I think there is already one up there