bennyschmidt said:
Why is it wrong? It seems to me that as long as you have methane (the fuel), you can certainly burn it over and over -- until the fuel is depleted. That's how burning fuel works.
Burning requires fuel
and oxidiser.
Look at this reaction:
$$CH_4+2O_2 ->2H_2O+CO_2 + Energy$$
it takes the methane, burns it with oxygen to release energy and produce water and carbon dioxide.
Methane is freely available, but you need oxygen (four atoms per reaction). Where to get if from? Well, you could get water ice and melt it, or maybe even drill deep for some liquid water, and run an electrolysis to get
$$4H_2O + Energy -> 8H + 4O$$
So to be able to burn a molecule of methane, which nets you two molecules of water, you need to destroy four molecules of water. The end result is, you're converting water and methane into carbon dioxide and hydrogen (which then either bonds with something else or escapes into space). While I don't know the exact energy balance (somebody calculate it please?), it's also unlikely to be positive - especially once you take into account inefficiencies. Which is to say, even if you ran an engine powered by the methane burning to output electricity for electrolysis, you'd end up with a negative balance (you'd have to import energy or oxygen from elsewhere).
So once again, the proposed reaction is not going to happen. One way of seeing it is, all the methane that could ever burn on Titan had already burned.
But, since the idea was to take the moon closer to the Sun*, you could circumvent the problem of water dissociation by the simple fact that UV radiation can do it for you. You just need to get the moon close enough for the water to remain liquid on the surface.
Then you leave the moon for some millions of years, and you may very well eventually end up with all methane transformed into water and CO2 (still no global conflagration, though).
But then a lot of other things can happen in that time, including complete stripping of the atmosphere by increased solar flux due to the low gravity and lack of magnetic field.*this is by the way an idea so far out there, as far as energy requirements go, that worrying about methane being used as a fuel source is a bit silly; it's like flying rockets to Alpha Centauri to collect wood for your stove.