Filming on WNMHGB wrapped for the actors around August 7, 1965, so, 2265 is a good date if you are in the +300 year camp. In my head cannon, using Kirk's tombstone stardates (C. 1277.1 to 1313.7 where C. = Captain) and using my theory on stardates (approx. 2.738 stardates is one day), Kirk just took over command ~13.4 days prior to the end of the episode (1313.8), so, if you correlate filming wrap date for the actors and end of the episode for the actors, Kirk took over on stardate 1277.1 which was 7/24/2265.2258; Kirk takes over in 226? 5 or 6?
