Dead Space 3 will have a demo on the Xbox 360 before its February 5th, 2013 release.
The Xbox demo has two release dates: January 15th and January 22nd. If you sign in to the site using your Origin ID you will become eligible for the early access to the demo on January 15th. Then you will receive an email with a redemption code if you get to participate in the early access of the demo. Do not expect an email right away, you may have to wait a while. If you do not receive an email before January 15th then you will have to wait until January 22nd for public access of the demo.
The team announced the early access to the demo on their Twitter and Facebook. Also if you need a refresh on the story or a newcomer and want to start with the third game you can find a recap here. The recap is less than 4 minutes long.
You can follow all the Dead Space news through their Twitter, Facebook, YouTube, and on the official site.
The game is set to release on February 5th, have you pre-ordered your copy?