See, as a scientist and a fitness enthusiast, I'm appalled by this.
But then my evil scientist side is saying.... wait a minute, this is a rather interesting experiment, and one that no ethics board would ever approve 
I mean, there has to be a practical limit on how much energy you can recruit from body stores, there's enzyme turnover, cofactors, there's waste products to dispose of....hmm.
I know there's a limit to muscle glycogen stores, hence 'hitting the wall' in a marathon etc, obviously you'd be using a proportion of fat as well depending on the training intensity.
Then on 1200 calories you won't be able to top up those stores properly overnight... I wonder if you'll go into ketosis? Have you thought about what macros you're aiming for on your 1200 calories?
Can you come back on here and update us on what happens? Or I can PM you my username on MFP if you're planning to track on there?
If I have a slow morning at work I might have a look through the literature and see if anyone has studied this. Probably not, as I say, it would be highly unethical.
Also, given the disruption to your metabolism, electrolytes etc, that's likely to have a nasty effect on your heart and there's a fighting chance you could drop dead. Can you arrange for someone to update this thread if that happens? Otherwise we'd never know and other people might think this sounded like a good idea.