To the surprise and apparent confusion of some audiences at the time,
Mission to the Unknown is followed, not by a continuation of its Dalek plotline, but by an unrelated historical. It’s primarily a comedy and lacks the evident educational remit of the earliest historicals. Like much of season three, it’s entirely missing in its original form, and, unlike the previous two stories, there is no animated or live-action reconstruction. This probably leaves it as one of the more unfamiliar stories to most viewers, and it's generally regarded as an average story by those who know enough about it to have an opinion. The comedic nature and the fact that it isn’t even trying to be historically accurate may present problems in typical time-travelling RPG settings, but let’s see what we can do.
Where & When
The story is based around the end of the Trojan War, as depicted in Homer’s Iliad, rather than as it would have been in real history. Troy, also known as Ilium, did exist, lying just south of the western entrance to the Dardanelles Strait in what is now Turkey. Based on archaeological evidence, the most likely date for the War is around 1180 BC, although, judging from the few surviving stills, the look of the story borrowed more from the Ancient Greece of at least four centuries after that.