You've been given links about the technology, and all they need to be is relatively stationary, or able to pick up each others' routes, even if what you say is true. There is also no reason it couldn't be more than one of them.
As for lyngsat, you do know that something is not automatically true just because it's on the internet, right?
Now, would you care to explain how a satellite counts as stationary? By definition it needs to be moving around the earth at ungodly speeds. You'd need to get it to the altitude where it's going at exactly the speed of the earth (impossible: the errors bars on ascent, altitude, resistance would add up), and keep it there, and prevent it slowing at all, given how quickly any change would add up. It seems far more realistic to suppose a more manageable system. Even if satellites were a valid option (hint: they're not) they'd be far too unwieldy to use like you're supposing.