Or you could just use this...

http://www.fraps.com

The problem with taking 360 degree screenshots this way though is you don't get the "matrix effect" like you do in the official SWG 360 degree screenshots.

For example take a look at the movie you made of yourself in jabbas palace. Every time you turn the view around you can see the dancers and everyone around you moving as you move the video. When SOE used the built in 360 degree screenshot function everything in the game was frozen around your character (not really frozen in the game, just in the split second it took to get the frames) and it made a really nice effect when you rotated it to see everything frozen around the character at that point in time.

Also, you might want to think about adding more frames into your 360 shots. To me it felt really jumpy in most of them like there were big caps in between each frame.

A good guide none the less though, and a viable temporary solution until the devs ever figure out we like stuff like this and add the option to use the built in 360 screenshot function if you have the required 3rd party software.