Death Star vs. U.S.S. Enterprise

[Point Point]

The Death Star Ship from Star Wars is run by Darth Vader and the same crew on Episode 4: the New Hope.

The U.S.S. Enterprise is commanded by Capt. Kirk and the original crew.

They fight one on one in OUR solar system. Fight to the death. Who wins and why?

I take the Enterprise because of its speed advantage. I don't think the Death Star's power (it destroyed an entire planet in one hit) would be a factor.