Smooth out object motion in video clip

I took a video at 60fps of a piece of art rotating on a lazy susan base. The lazy susan is not automated though so I was rotating it by hand. I tried hard to make the roatation consistent and smooth but unsurprsingly I was unable to make it super smooth. Is there a way in After effects that can be used to clean up the roatation motion so that it is smooth for the whole 360 degress rotation? All I seem to be able to find is warp stabilzer but that does not work as far as my tests show as its really meant for steading the video clip. My camera was on a tripod so the footage is still, its just the motion of the object as it rotates that is not consiostent and smooth. I wondered if there are any "analysis" based effects that work with time remapping? My final piece will be 30fps so I was hoping the fps difference would enable an "effect" to have enought to work with. Maybe there is even a purchasable plug in?

Any advice welcomed. 

NB: I do not have the ability to reshoot it. I have images at intervals that I was able to stitch into a timelapse motion rotation, just wondering if there is something that can work with the video.