I used to use Wax 2.0 for this, but I don't know if the program still exists. If the program stil exists, and has changed much since 2011-2012, then it's a bit in-elegant and has a habit of crashing but it can do this sort of greenscreen and compositing stuff fairly easily. Runs on windows, I had it on my windows xp computer. I provide, below, a link to an old tutorial I once made http://www.instructables.com/id/How-to-make-a-sci-fi-film-the-easy-way/?ALLSTEPS
ignore steps 1 and 2, they probably won't be relevant to your situation, read from step 3 onwards to see details of how the sort of effect you describe is achieved. My apologies for the poor layout and grammar in some parts of the tutorial, but I made it quite a long time ago. If you can still find the program, make sure to scan it well with an antivirus, and perhaps use virustotal because they might have started bundling things in the installer since when I used it. If you get wax2.0 running I would be happy to give you some more detailed instructions on getting the effect you want. You will also need GIMP because the way I would do this you will need to cut your eagle out from the image it came in and replace it's background with an alpha channel. This effect could also be done with blender, but that would be slow and tricky, and not an option unless you have previous experience with 3d modelling software.
Edited by rp88, 26 April 2015 - 10:17 AM.
Back on this site, for a while anyway, been so busy the last year.
My systems:2 laptops, intel i3 processors, windows 8.1 installed on the hard-drive and linux mint 17.3 MATE installed to USB