Story is about a man who possesses a very high IQ and is accepted to a space station (planet?) where others like him also live. He is able to travel back in time and watch the battle of Hastings. He questions why he is there
Randomly spotted this old question in the sidebar and noticed it didn't have an accepted answer.
I'm pretty sure this is Clifford Simak's "Immigrant", previously the answer to this question.
The destination was a planet, not a space station, of advanced telepathic aliens, who are carefully selecting the brightest people from Earth.
The main character, Bishop, tries out a gadget called a "live-it" which can immerse the user in a scene from anywhere in history:
What type of history, sir?” the face in the screen asked him.
“Galactic, Kimonian, Earth — almost any place you wish.”
“Earth, please,” said Bishop.
“England,” said Bishop. “October 14, 1066. A place called Senlac.”
And he was there.
He was no longer in the room with its single chair and its four bare walls, but he stood upon a hill in sunny autumn weather with the gold and red of trees and the blueness of the haze and the shouts of men.
Sounds quite a bit like Macroscope by Piers Anthony.
As Sean Duggan points out there may not be anything about the Battle of Hastings in Macroscope (been a while since I read it) but the remaining elements are a close match so it's at least worth checking out. It's a fun book by Piers Anthony in his prime