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The Earth is not actually moving slower than the sun. The Earth moves around the galactic core along with the sun. When we say the Earth is moving at 60,000 mph around the Sun, we ignore the speed it also has from moving around the galactic core. You can think of it just like the moon orbiting around the Earth which is also orbiting around the sun. Both the moon and the Earth orbit something that orbits something else. The speed we measure is just for that system, not factoring in the speed of the planet or star the other planet or moon is orbiting.