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If we have two standing clocks and both having accurate time, ....

then I increase the height of one clock then that clock will move faster in comparison to the other one. Why? Why do astronaut say that time moves faster in space than on the earth?

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time slows the faster you go an astronaut would be younger than a twin if you have netflix i suggest you watch a series called cosmos,it explains things in a simple way

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cosmos comes on which channel and at what time?
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you can only watch it on nettflix,libraries have it,i quit school in the seventh grade,,saw cosmos,and went back to school,as i said it makes everything,from time to the universe simple
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Because time does move faster above the earth for the astronauts and satellites. While it's true that a clock will run slower the faster you travel, the astronauts and satellites are not moving fast enough generate a slower time flow rate. The reason time moves faster (but it is not fast enough for a human to discern) is because they are higher up in the earth's gravity well. Gravity was equated by Einstein to be the same as acceleration. As gravity gets weaker, the higher up you go, acceleration is less. This less acceleration, or weaker gravity equates to a faster time flow rate. GPS satellites have to have their clocks set to run at a slightly slower rate so that they will run in concert with the clocks here on earth. I believe it only equates to about 7 microseconds a day, but I'm not sure on the exact number. You could look up GPS satellites at wikipedia to find out.