How would I go about "stabilizing" a video's rotation using freeware / opensourceware?  

Please also name that piece of freeware / opensourceware.

Obviously, I do not want to rotate each frame of the video by hand.

See link below for an example of what I mean (65 844 bytes)

<http://s000.tinyupload.com/?file_id=08971816374946938459>