I know that most CMEs (coronal mass ejections) are bigger than the Earth itself. So how do Earth's man-made satellites protect themselves when a CME strikes?
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Many can simply take the excess charge and survive. Those that are more sensitive are simply shut down (the problem is how the charged particles can cause short circuits, excess static electricity or cause random switching in computer chips -- if you shut them down, then there is very little left to get hurt).
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People on Earth power down the satellites BEFORE the CME reaches Earth orbit. Satellites, like computers, can't do anything by themselves without a computer program that human beings wrote the code for. CMEs can be predicted 3 or more days in advance now. That's plenty of time to power down multiple satellites.
http://www.solen.info/solar/
http://spaceweather.com/
http://www.solen.info/solar/
http://spaceweather.com/
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In a worst-case scenario, they power down until the CME passes to prevent damage to their systems, and are restarted afterwards.