- Edited
kuligs2 Possible? Sure. Sensible? Not really. After all, that's exactly what the spring arm is for.
But if you really want to do it on your own: How's your trigonometry (the math stuff with sine and cosine)? You need to know your current angle of rotation around your center point and your new angle after the rotation, your distance from the center, calculate your new camera position and then change the x/y position of the camera accordingly. After that rotate the camera so that it faces the center point.
BTW, what are you trying to achieve? I feel like you are overcomplicating things.