How to center an object in a shaky video...

[therealgreyscout]

I recently took video of a SpaceX launch, but I was using a heavy lens and the video is relatively shaky.  Is there any way to edit the video to center the rocket?  I'm an astrophotographer and I use software to superimpose multiple images, but this is not a single point of light I'm trying to track.  It's a dynamic object; it's brightness changes, the trail changes, it's angle and trajectory changes.  I just want to keep the brightest thing in each frame centered.  I can't imagine that's so hard.  I think this is possible with Premiere Pro.  I've seen some videos of soccer balls being centered and what not, but nothing like this.  Any ideas?

[Bill Sprague]

I've been thinking about a way to do this all day!  I came up with nothing. 

[fader5]

I used horizontal and vertical lines to make a crosshair on a separate track then every second moved the object over the crosshairs. Very time consuming but it was worth it. You might have to do every half second or less. 

[therealgreyscout]

Thank you very much for the reply. I actually went with Premiere Pro and
am doing what you say. It is very time consuming, but I do see its impact
and so far it seems very worth it.

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Regards,

Gary A. Weller