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All spaceflight involves the use of computers, to plot courses, calculate fuel use, coordinate events that must take place in a certain order, and so on. The Apollo space flights were unique, up to that time, in that their were actual on-board computers, one in both the Command Module and the Lunar Module. NASA realized that the old paradigm of doing all the calculating on the ground and transmitting up the results for manual input by the astronauts, would simply not work for Apollo, as the capsule would be spending a great deal of time behind the Moon, out of communication. And the landing, which was mostly done by the computer with input from radar, would have been difficult to impossible without a computer. The computers, each called the DSKY after the numeric DiSplay and KeYboard, did an excellent job. The Apollo 11 LM computer crashed on the way down, but close enough to the surface that Armstrong decided to ignore the rules and take over, instead of aborting. It turned out that it was trying to calculate both a landing and a return to the CM at the same time- due to a programming flaw. It would be fair to say that the Apollo landings would not have been possible without the onboard computers- which, by the way, were microchip processors, ancestors to the CPU chip you are using right now!
The first computer had no direct contact with the moon landings. The development of computers had a great effect on space missions and of course that development started with the first computer.

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