BTW, I wasn't kidding about watching the spy satellites.
In the late 1970s, an amateur astronomer figured a way to use a satellite's changing celestial coordinates to calculate its future locations. He got a bunch of fellow astronomy geeks all over the world interested and now they track everything in the sky that's big enough to see. And except for the space junk, they put it all in a searchable database online. Much to the chagrin of the the boys at No Such Agency.
Even if a satellite gets an altitude adjustment or a redirection, within a few orbits the satellite geeks have noted the change and adjusted their online data. Spy satellites, if you happen to spot one with the naked eye, are easy to pick out because they're one of the few objects that make polar orbits (N->S or S->N). Most everything else either flies in an equatorial orbit or is in geosync.
So if you want to spy on what's spying on you, first you have to find that satellite's mission number. If you're interested in a Rooskie spy satellite, for instance, go to Wikipedia for a list of
Kosmos mission numbers. If it's
Kosmos 2480, you go to
Heavens Above, select "Satellite database" and enter the mission number. Input your lat-long and it even will tell you when the given satellite will be in sight of your location, weather permitting, along with the direction, elevation and brightness to help pick it out of the clutter.
And when you see one, don't forget to wave!