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Forever Jung
I can't go on, I'll go on.
11:46 AM on 10/29/2012
"You'll shoot your eye out, kid"
Seriously, it's time.
11:32 AM on 10/29/2012
I'd hate to see the losing arguments.

The natural way to influence the motion of a rock remains to remove some surface at high speed, and subject it to local radiation pressure. That can be done in a single burst or series of bursts, and then measured and tracked, allowing for some later correction.

1GW per square kilometer for years can get you where you need to be, but necessarily insists that you use a force only in the sun direction, and that might not be the most useful.

Surface porosity also affects the paint coverage, and might require significantly more paint.
paragon of paradigms
11:20 AM on 10/29/2012
Perhaps if we cover this asteroid with black light absorbing particles, then the surface of this asteroid would super-heat as it gets close to the Sun throwing off gases that push it from its normal trajectory. Turn this asteroid into a solar energized rocket. If it's done the wrong way, this asteroid could hit Earth 20 years sooner than it would have otherwise.
Sjoerd W
Always look for common ground.
12:21 PM on 10/29/2012
I was thinking the same thing, but that's probably more effective with comets (ice) than with asteroids (rock). Also, as soon as the surface starts to vaporize, the heating effect of the particles will be lifted because they come off as well.