When Does "Star Trek: Enterprise" Season Two (2002) Take Place?
"Enterprise" (later released as "Star Trek: Enterprise") season two is a science fiction television show showran by Brannon Braga that released September 18th, 2002. So when is "Enterprise" season two set?
It takes place in the year:
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 are dining with Science Officer T'Pol to specifically celebrate her one-year anniversary of becoming a member of the Enterprise NX-01's crew. T'Pol joined the team during the events of season 1 episode 1 "Broken Bow", which takes place in 2151? AD.

2152? 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 are dining with Science Officer T'Pol to specifically celebrate her one-year anniversary of becoming a member of the Enterprise NX-01's crew. T'Pol joined the team during the events of season 1 episode 1 "Broken Bow", which takes place in 2151? AD.
2151? + 1 = 2152?.
Additionally, season 2 episode 2 "Carbon Creek" is mostly one long flashback to October of 1957 AD through January of 1958 AD. We know this because the American humans in this flashback 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 that not noticed by Americans until October 6th.
Parts of the season were adapted to prose in late 2002.
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.
It is the first chronological TV show 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.