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Converting pixel distance to move camera

Hi guys.. I am having some problems with coming up with an expression which solve my problem.. I am using a web am to track an object, the camera shall move such that the object i am tracking is always at the center.

The camera pans to specific angle, by giving the angle it has to move to.. I know at all time what the pixel distance is between the center and the object I am detecting.

My problems occurs as when the camera moves all the time. Since the camera is moving, the angle i calculate changes.. How do i calculate the angle such i know how much to turn.