Would pushing large enough asteroids into one another generate gravitational waves?
I'm not sure if the formula to estimate the energy we receive from the waves is (Mass1+Mass2) * SomeConstant / distance^2 or it is Mass1 * Mass2 * SomeConstant / distance^2. I'm assuming that it is the first formula. If the second one is the correct one, you must add more "very" in my first paragraph.
« If it works, it will be the first time in history humans have physically changed the orbital trajectory of a space-based object. »
...because that happens every time we launch a rocket or land one.