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For example, an object the size of Mars hit Earth once in the dim and distant past. It involves asteroids, like the above method, only instead of direct impacts, this time we just steer them past the Earth, allowing rock and planet to exchange a little momentum, with the result of an Earth moving on a slightly different track and an asteroid moving on a significantly different one. You could reuse the same asteroid again and again, looping it around a few gas giants and back to gain lots more kinetic energy from those gas giants in the same way that Earth just gained velocity from the rock. 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 likely to find - there are heavier moons and entire planets you could consider using, but to be honest from this point of view it looks more like using a succession of hundreds, thousands or tens of thousands of smaller asteroid impacts would be a better bet. Maybe Earth is about to hit an asteroid.

Maybe. Or better yet: the Earth already has a standing magnetic field; perhaps we could construct a cylinder of cable around it, and pass current to move it using Lorentz forces. Construct a huge solar sail with a significant mass. Since the Sun carries the vast majority of the entire mass of the solar system, any force which moves it is likely to drag all of the planets along with it. It is possible to use a solar sail to steer the Earth into the Sun. Solar sail method. I can't honestly add much to that article except to say that to move the Earth substantially, the sail used is going to have to be pretty big. Our editors will review what you’ve submitted and determine whether to revise the article. Which means the distance the Earth moves when everybody jumps will be one trillionth of the distance that all the people jumped: that is to say, 10-11 metres, or about half the radius of a hydrogen atom. You could build an engine at either pole and this wouldn't have any effect, but anywhere else and the constantly changing angle of thrust will cause the Earth to behave somewhat like a loose Catherine Wheel-type firework.

Build an enormous lightweight "hat" for the Sun, which catches the Sun's rays. If balanced correctly, the "hat" neither falls into the Sun nor is blown away. With half of the Sun's radiation blocked/reflected in the opposite direction, the Sun now has a net thrust upwards (i.e. in the direction of the "hat"). Maybe the Sun is going Red Giant and you miss the days when lead didn't melt in direct sunlight. Certainly, no single impact is going to do all the course changing you'll be wanting to pull off. You could repeat this thousands of times over the course of millions of years. Billiards method. Clonk the Earth with something big and heavy, causing it to alter course. Plan it right, and you can couple it together with the Earth with gravity alone, using the solar wind to balance out the Earth's gravitational attraction. Alternatively, as the Earth's angular kinetic energy is negligible compared to its orbital kinetic energy, you might consider diverting a relatively small amount of resources to simply stopping the Earth from spinning at all, before beginning the main project. Belgium. Design them carefully so that when used the rocket engines do not actually just propel themselves through the ground and into Earth where they become useless - you may need to periodically dig them out again after several thousand years' continued thrusting, or else just build new ones over the top.

The most obvious major drawback with this method is that right now there aren't even theories as to how you could possibly build rocket engines of the sort proposed here. Direct matter propulsion. Same method as above, just using gigantic mass drivers/railguns to fire huge quantities of matter away from Earth, instead of a rocket exhaust. Altogether that's a mass of one billion tonnes of humanity jumping ten metres in the air. Suppose that they all jumped ten metres in the air (a huge overestimate, fifty centimetres is more likely and probably much less). Tacky. Gladiators are much better. It gets better. Even assuming the Earth did move by some significant distance when everybody jumped, just think about it: it'd move right back again! The Earth is very big, moving very fast, and therefore very difficult to stop or even slow down. You jump up, the Earth goes down: you fall down, what is billiards the Earth comes up to meet you. Getting everybody in the world to jump at the same time. Suppose that there were ten billion people (another overestimate - there are about 6.4 billion at the time of writing).