As the title states, what would happen if two asteroids in the asteroid belt were to collide? Specifically, two the size of 45 Eugina impacting with each other. In my story, I am thinking about having them crash into each other because humans attempted to move one but screwed up the calculations by a few small margins causing one to be launched into the other.
I know that the impact could cause a shockwave and that smaller pieces would be launched in all directions, but I wonder how far and fast these pieces might travel. I am sure Mars would be hit by some of these pieces, but would some make their way to Earth or Jupiter? How far beyond them would they go? To the Sun or Neptune, depending on the direction? Or would the asteroid belt provide enough or a buffer that only nearby asteroids, ships, and maybe Mars would be impacted? Or would the belt cause more problems by creating a domino effect by the pieces of these first two asteroids colliding with other asteroids, creating even more projectiles?
Thank you for any help that can be provided.