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Theoretically, a large enough detonation could alter the axis and spin of the Earth. How large that actually is would be anyone's guess.

What we know is that slightly more than 50 megatons is not enough: the Soviets detonated Kuz'kina Mat' on 30 October 1961. The bomb had a dialed down yield of 50-60 mT, from at least a potential 100 mT. Kuz'kina Mat was detonated air burst, four kilometers above the surface, and had an energy yield of 8.1 on the Richter scale. Most of the blast energy was converted into seismic waves; these could be detected after three psses around the Earth. Had Kuz'kina Mat' been a surface or susurface burst, all of that energy would have been transmitted directly to the planet. Had the weapon been full yield, the blast energy would have have exceeded twice that of the 2004 Sumatra-Andaman event that shifted the Earth's axis by a degree or two.

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