When Does "Star Trek: Enterprise" Season Two (2002) Take Place?

"Enterprise" (later released as "Star Trek: Enterprise") season two is a science fiction television series showran by Brannon Braga that released September 18th, 2002. So when is "Enterprise" season 2 set? 

It takes place on the fictional Star Trek timeline in the year: 

2152 AD - 2153 AD 

We know this because season 2 episode 2 "Carbon Creek" opens and closes with a frame story depicting Captain Jonathan Archer and Chief Engineer Charles "Trip" Tucker dining with Science Officer T'Pol when Archer declares, "To our Science Officer. It's been one year to the day since you officially joined our crew." and T'Pol joined the team during the events of season 1 episode 1 "Broken Bow" (2001), which takes place in April of 2151 AD. So it must currently be April of 2152 AD. 

4.2151 + 1 = 4.2152. 

Later, in season 2 episode 26 "The Expanse" (2003), the season's finale, Captain Archer records himself saying, "Captain's Starlog, April 24th, 2153. The journey home has been very difficult." and season 3 episode 1 "The Xindi" takes place immediately afterward. So it's probably April of 2153 AD at the end of the season. 

Although the famous "stardate XXXX.X" captain's records that open most episodes and some films were mistaken for years on the Gregorian calendar, there is no one-to-one relationship between them. As identified in the biography "Gene Roddenberry: The Myth and the Man Behind Star Trek": "They marked off sections on a pictorial depiction of the known universe and extrapolated how much earth time would elapse when traveling between given points, taking into account that the Enterprise's warp engines would be violating Einstein's theory that nothing could exceed the speed of light. They concluded that the 'time continuum' would therefore vary from place to place, and that earth time may actually be lost in travel. 'So the stardate on Earth would be one thing, but the stardate on Alpha Centauri would be different,' Peeples says." so they are relative to long distance travel and not an absolute calendar. HOWEVER, actual years on the Gregorian calendar began to be used later. 

Additionally, season 2 episode 2 "Carbon Creek" is mostly one long flashback to October of 1957 AD. We know this because T'Pol narrates that, "They'd gone to Earth to investigate the launch of its first artificial satellite, called Sputnik." The humans in the United States of America are concerned about the launch of the Russian man-made satellite Sputnik I, which occurred in the real world on October 4th, 1957 AD but was not noticed by Americans until October 6th. Soon after events taking place about 2 weeks are described, T'Pol simply states, "3 months passed." putting the last part of her story within early January of 1958 AD. 

Finally, season 2 episode 1 "Shockwave Part II" involves time travel to a far distant future. Captain Archer complains, ..."if you've brought me eight hundred years into the future, into this future, I think I deserve some answers." so, if he's accurate, it's around 2952 AD. Though, Crewman Daniels seems to be the only one who would know when it was with any accuracy and he claims, "You're in the 31st century, Captain, or what's left of it." at the end of season 1 episode 26 "Shockwave Part I" (2002). And that would be sometime from 3000 AD to 3999 AD... 

2152 + 800 = 2952. 

It is the earliest chronological TV series in the Star Trek universe and can be watched at its timeline point or as an extended flashback after "Star Trek: The Next Generation" (1987). 

Parts of the season were adapted to prose in late 2002.