I have no idea. As experts start working on the problem, this page will blossom into many pages with the progress of the teams that choose to work on the many aspects of the challenge.
I'm expecting self-directed work teams to form or be formed to work at solving the puzzle.
At this stage, I don't think anyone has even the foggiest idea about where to place the thrusters. Nor, does anyone know how many thrusters would be optimal.
What would fuel the thrusters?
How would we control them?
These are all questions that the engineering or design teams will have to work out.
My friends are making guesses on who will come up with the solution. One thinks a team of NASA or Russian rocket scientists will solve the problem. One guesses that a grad student team from a school like MIT or Cal Tech will solve it. Another theorizes that a team of faculty member, in some University somewhere on earth will solve the problem.
We have some that think the problem can't yet be solved.
My personal inclination is toward pivoting thrusters, placed on top of mountains, using the high mountains as a sort of lever.
Archimedes said, "Give me a lever long enough and a place to stand and I can move the earth."
But, as I said earlier, I have no idea.