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This may be true (or nearly true) but there are a lot of objects with orbits that intersect Earth's orbit +/- little enough to worry us sometimes. (I'm still trying to tie in the trail of a comet with what happens to the resulting bits from a blown-up asteroid) The products of an exploded asteroid will have a range of orbits spread around the CM of the original asteroid. At some point in the future (next or tenth time round - depending) when the orbits of those bits of rock again rendezvous with the Earth, there is a greater chance of a collision with one of them, So they need to be broken up into relatively harmless sized bits, with a consequently greater chance of actually hitting us.davenn said:There are probably none with the near circular orbit that the Earth or other planets have
The alternative of guiding an asteroid out of harm's way is more attractive - but only if the rocket power exists. From what I understand of orbital mechanics, shifting an object into a significantly different orbit would involve more than just one impulse. So the rocket would need to sit on the asteroid and give it another nudge at a suitable time.