like i said, it gets complicated. the "super special secret military stuff" is not what you believe it to be. for example, military "pluggers" can remember more waypoints than civilain receivers. they can store radio codes. they can do a couple of other non-gps pertinent stuff that i don't think i should talk about here, like miles system, etc. but as far as the gps itself goes, they are largely pretty inaccurate at moving stuff. i have tried and tried to pre-program my umz routes around mojave terrain into them for night exercises, but we always ran into stuff. why? military gps is not as accurate. why is that? there are less dedicated satalites. say you wanted to detect/track a stealth fighter. the radar doesn't track well because they deflect the radar off at other angles. so you would put together A SYSTEM of radar bases that are integrated into a single system. the different angles give peices of the picture to create a whole. BTW these can be bought in certain countries. this is like gps. and please don't ask me how i know this, but the military has a stock in every single GPS sattelite over the US and many more for NATO and US around the world. the few sattelites that we use in peacetime are owned by the military. if china tried to all-out attack the US, every single gps sattalite on our half of the world would suddenly be under US military control. and no civilian gps would work. this serves 2 purposes. 1) our military would have the best accuracy. 2) they are coded, so that china wouldn't be able to operate with gps.
you're right about the 15' part and it can be a lot more than that. but it's accelleration you mean, not steady speed. my +/- 2mph is variation for small variences of vehicular speed while cruising, aka minor de/accelleration. how many readings per second does not make much difference. most civilian gps can do many times a second. how many times depends on how many sattelites it's tracking. aviation gps is more expensive because of sattelite tracking, not speed per sec. they're tracking systems are more advanced. kinda like that storm that blocked you're directv dish signal, except they have to be able to fly through stuff like that.