Comment Obligatory Carl Sagan Quote (Score 1) 149
There are many kinds of slavery and many kinds of freedom, but reading is still the path."
-Carl Sagan
And potentially very profitable. Huge chunks of valuable metals floating around waiting to be mined.
I seem to recall reading that If there were a mass of gold ingots in low Earth orbit, it would not be economically feasible to send the Space Shuttle up to bring them back to Earth. You'd spend more on training, parts, maintenance and fuel than a cargo hold full of pure bullion could offset. If you had a factory in orbit to use the gold to some purpose, that might be different, but that's putting the cart before the horse.
Diverting the asteroid means, that 1) we can track it accurately 2) the lasers have enough accuracy to hit the asteroid on the same spot, and not cancel each other out 3) the asteroid isn't spinning (but this might allow it to slow down a bit)
Well, if we're shooting at it, it means we can see it. If we see it we can track it.
Accuracy? A laser is a straight line of photons that travel at the speed of light. If we can track it, we can hit it. It's just a matter of calculating trajectories and factoring in gravitiational effects. At the distance it would be at, i'm not sure how lasers could possibly cancel each other out.
A spinning asteroid wouldn't matter much... just calculate its center of mass then fire appropriately to effect the greatest change in desired direction. You might be shooting at empty space part of the time, but the rest will do the work you want.
As far as the laws of mathematics refer to reality, they are not certain, and as far as they are certain, they do not refer to reality. -- Albert Einstein