I've got a buddy who is an attorney and he gave me some pretty good advice once.
He basically told me to show up to court and ask if the cop who busted me was actually licensed and approved to use the mechanism in which he caught me. I think he was using a laser gun or something like that. Or it might have been old school with a scope, I honestly don't remember.
Anyhow, long story short the guy wasn't approved to use it so they threw the ticket out.
In your case it sounds like they're some hardcore mofos in GA. I'm willing to bet those cops are approved for catching speeders any means necessary.
Good Luck!