I'm shooting a space launch, and I have background plates that need to shake along with the actors I shot in the green screen. How do I do this? Thank you?

Did you shake the camera?

Then track objects in the foreground plate, and lock the background plate to that.

If it was a locked-off camera, apply a "shaker" to the entire composite.

Slight OT: James Burke, host of "The Day The Universe Changed", had to deliver a line on-camera about how a series of seemingly unrelated technical advances eventually led to the invention of the rocket. At the very end of the line a rocket lifts off from the launch pad.

The launch was real. James Burke was actually at the scene overlooking the launch. The timing had to be just right. And there was no "take two".

what is your editing platform (software)?