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For quick calculations, it might be easier to look at slowing down or
speeding up the asteroid. While it depends on the angle of crossing
relative to the earth's path, I get something like a two minute change in
arrival time as enough to allow the earth to clear the asteroid path. This
is about a .0004% change (with 1 year lead time) which should require an
average speed change of less than 1 m/s (if the asteroid is moving at less
than a quarter-million meters/s). Plug in the mass and at least you can
easily get the force/energy needed.