Sam Hughes has compiled a Guide To Moving Earth:
You never know when you might want to significantly alter the orbital path of the Earth. Maybe the Sun is going Red Giant and you miss the days when lead didn’t melt in direct sunlight. Maybe Earth is about to hit an asteroid. Maybe it isn’t, but you want it to. Maybe you want to destroy it: a significant number of methods for destroying the Earth involve moving it by some substantial amount.
Well, it isn’t easy. In fact, it’s very very difficult.
He does a nice job of going over various methods, sorted by degree of plausibility. In case you’re wondering, getting everybody to jump at the same time isn’t plausible in the slightest…
