You may reuse the identical asteroid repeatedly, looping it around a few fuel giants and again to realize lots extra kinetic energy from those gas giants in the identical way that Earth just gained velocity from the rock. It will get better. Even assuming the Earth did move by some significant distance when everyone jumped, simply think about it: it'd move right again again! Which implies the distance the Earth moves when all people jumps will probably be one trillionth of the space that all of the folks jumped: that's to say, 10-11 metres, or about half the radius of a hydrogen atom. Getting everyone on the earth to jump at the identical time. Suppose everyone on the planet weighed 100kg (which is an overestimate, 70kg is extra prefer it, in all probability much less). Basically, the purpose right here is that modelling impacts like these is a tough enterprise. The major drawback right here is figuring out how to select up massive items of continental plate without breaking them. The obvious major disadvantage with this technique is that proper now there aren't even theories as to how you possibly can presumably construct rocket engines of the kind proposed here.
Suppose that there were ten billion individuals (one other overestimate - there are about 6.Four billion at the time of writing). Atmospheric considerations are ignored here since it is way more power-environment friendly to manually take away the Earth's environment, transfer the planet, and reinstall it. The precept right here is way the same, with the railguns behaving somewhat like discretized versions of thrusters, offering instantaneous adjustments in velocity versus sustained steady change. Jumping up and all the way down to attempt to maneuver the Earth is like mounting a fan on a sailboat, pointing the fan on the sail, and anticipating the boat to move forwards. Better, you may use many, many asteroids one after the other in a gentle stream, and lower down the overall time significantly. If there was some method to electrically cost the Earth, by dumping numerous identically charged particles onto the Earth or just ionizing particles already on Earth - a large amber rod may perhaps be in order - then we may use magnetic fields to drive the planet in the route we wished it to go.
Ceres, the solar system's largest asteroid, has less than 1/40,000th the mass of Earth; the Moon, a mere 1/80th. These objects are the heaviest you're doubtless to find - there are heavier moons and complete planets you could possibly think about using, however to be trustworthy from this viewpoint it seems to be more like utilizing a succession of hundreds, 1000's or tens of 1000's of smaller asteroid impacts could be a better bet. You possibly can repeat this thousands of occasions over the course of hundreds of thousands of years. And lastly, suppose that all of them jumped at exactly the same on the spot, which in fact they won't, seeing because the time difference between the fastest watch and the slowest will probably be over five minutes. You could build an engine at either pole and this would not have any effect, however anyplace else and the consistently altering angle of thrust will trigger the Earth to behave somewhat like a unfastened Catherine Wheel-kind firework. It entails asteroids, just like the above technique, only as a substitute of direct impacts, this time we simply steer them past the Earth, permitting rock and planet to trade just a little momentum, with the result of an Earth shifting on a slightly different monitor and an asteroid transferring on a considerably totally different one.
Note that the Earth does not and won't behave like a strong, rigid billiard ball under such big impacts as these. Maybe. Or higher yet: the Earth already has a standing magnetic discipline; maybe we could construct a cylinder of cable around it, and pass present to maneuver it using Lorentz forces. Plan it right, and you'll couple it along with the Earth with gravity alone, utilizing the solar wind to stability out the Earth's gravitational attraction. Wait lengthy sufficient, and the solar wind blowing the sail outwards will take the Earth outward too, since the two are gravitationally sure together! All of it depends how fussy you might be about how the Earth appears to be like afterwards, after all. It is possible to make use of a photo voltaic sail to steer the Earth into the Sun. Just use it to tack in opposition to the route wherein the Earth is travelling, progressively slowing its orbital velocity and increasing the orbit's eccentricity, till the orbit passes within the Roche limit the place the Earth is torn apart by tidal forces.