using hand-held video clips on the planetarium dome

One of our colleagues wondered how nice it would be to see videos like this documentary on the "large screen" by projecting on the planetarium dome. We can use tools like OCVvid2fulldome to project the video to the front part of the tilted dome, say covering 180 degrees left to right. Trying out a variation of this technique, using OCVWarp on video padded to 4k equirectangular shape, reasonably distortion-free results for 
padding with equal amounts of black on all four sides, with
-136 degrees y angle in OCVWarp. 

Some parts of the video - the lower parts near the left and right edges - get cropped, but the visuals look good.

Unfortunately, the problem is that the mostly hand-held footage is extremely nausea-inducing when blown up to such a large size. Even the moderate shake of this professionally shot video segment is unacceptable on the dome without slowing down the footage or making the video window smaller.