- #36
qraal
- 790
- 3
Lsos said:If the moon were to STOP with respect to the earth, as has been asked earlier, and then allowed to fall...would it actually hit the Earth in abut 6 days (as has been suggested), or would it build up speed (up to 9km/s was calculated), end up missing the earth, and simply go into another orbit?
The mutual gravity of the Earth and Moon would draw them together. There's a minimal amount of transverse motion needed to prevent them from colliding, which can be computed as the velocity needed for the centre of mass of the Moon to pass the Earth's centre of mass at a distance equal to the sum of their radii. More or less. Real Earths and Moons would experience energy loss due to tidal deformation so the actual transverse velocity needed for a miss is a bit higher. I suspect that minimal distance would be roughly the altitude at which their orbital period was equal to or more than ~6 hours, since the Moon originally evolved away from an orbit that low in the Big Smash scenario of Moon formation.