I see a couple of possibilities.
If the center of rotation is known, you can extract a circle of pixels around the center in each image. Using FFT analysis, you can use correlation to determine the shift between the two sets of pixels, which will give you the angle of rotation.
Another possibility is to select a portion of the original image and use pattern matching to locate it in the second image. This will give you the rotation within a fraction of a degree if you set up the parameters correctly.
Bruce
Bruce Ammons
Ammons Engineering