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How strong would a rocket have to be to get through the asteroid belt and keep everything functional?
While a rocket would have to be strong to survive traveling to the Asteroid Belt, (which is located between the orbits of Mars and Jupiter) it would not have to be especially strong to travel through the Asteroid Belt. The average distance between asteroids in the Asteroid Belt is about 840,000 kilometers (600,000 miles), which is larger than the diameter of the Earth. Unless you have a very large rocket, traveling through the Asteroid Belt would not be much different from traveling through most of the Solar System.