A simple automatic pneumatic injection gun delivering 2 laser-targeted shots of 30m distance, like this baby http://www.haevic.co.za/index.php/products-services/the-dart... can put eagle to a safe sleep, and ensure mission is not interrupted.
That's just not at all the kind of situation this is intended for.
Even easier: Build two drones, and have whichever one gets grabbed blow up immediately.
(I was expecting some kind of net gun for the drones.)
Uhm, that's not real or related. That's some guy's visual-effects project, and the drone is CGI.
Perhaps you meant the manufacturer's movie here? Good luck shooting a diving eagle. https://www.youtube.com/watch?v=OItoIIoSefI