Fly me to the Moon

It is 4.5 bya (billion years ago) and the Planetecimal Earth is orbiting the Sun. Very soon another planet, in OTL called Theia misses the Earth Just Barelly but, close enough that the Planet Shatters, only the Core survives and is sent flying outwards from earth. This is the Timeline of What if Theia didn't impact earth?
 * Timeline (Fly me to the Moon)
 * Civilizations (Fly me to the Moon)
 * Planets (Fly me to the Moon)
 * Moons (Fly me to the Moon)