Hi— I found your question just by 'looking around', and would like to try to help you answer it. read more
Apollo 13 was NOT on a free-return trajectory at the time of the incident. However, one of the many parameters that was ‘book-kept’ on the ground was the velocity change needed to establish a free-return trajectory if that was necessary for any reason. read more
In November 2011, a notebook containing a checklist Lovell used to calculate a trajectory to get the damaged spacecraft, Apollo 13, back to Earth, and handwritten calculations by Lovell, was auctioned off by Heritage Auctions for $388,375. read more