A jet engine requires air to “breather” and generate thrust. Air is pulled in by a turbofan into the combustion chamber at low velocity. Inside the combustion chamber, energy is added by injecting and burning fuel. Part of this energy goes to a compressor which is used to drive the turbo fan, and the rest is ejected at the back of the jet with both a higher velocity, and more mass due to the added fuel. However without air, the jet engine does not work. There is no air in space. A rocket works by combining a fuel and an oxidizer inside the combustion chamber. This is then ejected by the rocket. Breaking it down to the most basic features, a rocket is self sufficient, because it carrier both fuel and oxygen inside it, where as a jet engine only carrier fuel inside it, and pulls air from the atmosphere.
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