The moon's mass is only outnumbered by Earth's mass, which is 81 times greater. This indicates that while it moves in a circle, the circle is substantially smaller than usual. The core of the circle that the Earth revolves around is really inside the planet.
In space, there is gravity. It is gravity that makes the moon orbit. Everything in orbit, including the moon, is falling freely. That entails letting gravity operate as it pleases. Because you continually missing the object you are orbiting, an orbit is like a fall that never makes it to the earth; by the time you arrive at the spot where the object was, you have overshot, and it is now behind you.
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