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The fourth section of Einstein's theory of relativity does not need Newton's theory of gravity. Einstein's theory stands on its own. Still, in order to gain a good understanding of the workings of gravity, it is good to start with Newton's equations. With Newton, you are starting with the actions of bodies at rest or going slow. When you are concerned about the exact position of a satellite orbiting the earth and its effect on a signal sent at the speed of light that you need to get into Einstein's theory.

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Q: Doesn't Einstein's space-time need Newton's gravity to work?
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