So I'm moving out to my new place this summer and was wondering if I got a protractor and compass and measured where in the sky my dish is pointing to I could recreate it to some degree of accuracy about 50 miles away. Is there an app that can help me do this? I have android.
You should request (and pay for) a tech to move the dish. Call 866-347-3292.
The installation, even for those moving to a new place, needs to be performed by a qualified technician, and for a variety of reasons. I believe HughesNet does offer free relocation, but only to those in good standing, and it requires a new commitment. They can give you the specifics of commitment vs no commitment with regard to the moving service when you call the number given by maratsade.