Since August 2nd, 1999
Although it is assumed that the real JFK Jr. did not complete this mission, there are some who disagree, and offer as evidence of its completion the very fact that both the real JFK Jr. and the mission itself met what they called 'desired ends.'
We can not even be sure that the now non-existant real JFK Jr. even made it to the year 2323, but the general belief is that he did. Of course, there is no way to be certain.
The theory behind the general concensus is that if the real JFK Jr. had not completed the mission, then surely the mission as well as the real JFK Jr. would not have been entirely swallowed up by Black Holes. There would be some missing piece, some unfinished part, that would give us a clue as to the what the mission was. There are, the thoery continues, no such clues, thus proving that the mission was a success!