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From "Deflection and Fragmentation of Near Earth Asteroids" by T.J. Ahrens and A.W. Harris, it is projected that a 1 kiloton buried explosive will fragment a 100m diameter asteroid (based on experiments with terrestrial igneous rock), a 1 megaton explosive will fragment a 1km diameter asteroid, and a 1 gigaton explosive will fragment a 10km diameter asteroid.
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