If your motion is at or near a critical speed then you have only one choice, change the speed. Take a look at this article. You may get some ideas. In my cinematographers handbook there's a chart of must avoid panning speeds. That's what you are getting with your horizontal movement. Unfortunately the only remedy is to change the speed of the move. You have to get it as close as you can to match the rest of the piece (audio, other elements) and then hide the rest with motion blur. Unfortunately, if you are right on a critical speed motion blur won't stop the strobing but it will make it less difficult to look at.
And to answer your question about doing this for a feature film at 24fps... you just have to follow the rules. In the same way a cinematographer must adjust his panning speed you have to adjust your design to the limitations imposed by the frame rate.
Thanks Rick! I had pretty much figured that was the case. I just have to try different speeds and see if I can come up with something that is less of a problem.
I have showed the client my copy of the ASC Manual which has lists of what pan speeds work best with which focal length lens. That was just to let the client know that
panning motion in 24p is a problem throughout the production chain.
My big complaint with the client is how they allowed themselves to be forced into a 24p deliverable when they could have done a 29.97p master or even 1080i with
pulldown on the 24p footage. We do those all the time and it helps with the graphics.