Accidental Flight

In the future, as medical science advanced to the point where all imperfections could be corrected, any remnant of a body could be kept alive and repaired. The problem was that people badly damaged in accidents couldn't be made whole again--just kept alive. Those people frightened pets and children and made the perfect adults uncomfortable.
They had to go. They were banished to a domed asteroid--Handicap Haven.
But the partial people believed they could combine with one another to help humanity in ways the perfect people couldn't. But they wouldn't be allowed to try. So they stole a rocket.