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part of the 21st century
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The 2050s was most notable for the creation of Earth's first off-world colony, Bowie Base One in 2058. The base was destroyed in 2059. (TV: The Waters of Mars)

Another base was also built by Earth. The Gravitron was installed on the Moon, enabling control of the Earth's weather. (TV: The Moonbase)

An unspecified event devastated many parts of Germany. (TV: The Waters of Mars)

Spain developed a space project called Spacelink, which they kept under wraps. (TV: The Waters of Mars)

His life having been extended, Brigadier Lethbridge-Stewart managed to live on considerably past the normal span for humans of his time, dying at last sometime in the 2050s. (PROSE: The King of Terror)

At some point following the Eurozone Wars, General Mariah Learman became a dictator in Britain. Her time travel experiments led to the Daleks appearing. Learman became part of a time loop involving the Daleks. (AUDIO: The Time of the Daleks)