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Time dilation explains why two working clocks will report different times after different accelerations. For example, at the ISS time goes slower, lagging 0. 007 seconds behind for every six months.
For GPS satellites to work, they must adjust for similar bending of spacetime to coordinate with systems on Earth. Time dilation by the Lorentz factor was predicted by several authors at the turn of the 20th century. This case is sometimes called special relativistic time dilation.