Why Doesn't the Moon Revolve Around the Sun Instead of Earth?

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The Moon does orbit the Sun while also revolving around the Earth. Its path around the Sun is a wavy curve, influenced by both the Sun's and Earth's gravitational forces. The reason the Moon isn't pulled away from the Earth by the Sun is that both bodies orbit the Sun together. The gravitational pull from the Sun affects the Moon, but the difference in acceleration between the Moon and Earth is less than the gravitational influence Earth has on the Moon. Thus, the Moon remains in its orbit around the Earth despite the Sun's gravitational force.
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When sun puts more gravitational force(numerical values) on moon than earth, then why moon does not revolve around the sun like earth?
 
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But the moon does revolve around the sun. It also revolves around the earth.
 
There are a couple of ways to look at this. One is to note that the Moon does orbit the Sun. (If you plot the heliocentric path of the Moon it follows a wavy path that moves silghty in and out from the Sun, but is always curved towards the Sun.

So why isn't the Moon pulled away from the Earth by the Sun? Because both the Earth and Moon orbit the Sun together. The force the Sun exerts in pulling the Moon away is not due to the force the Sun directly exerts on the Moon, but due to the difference between the acceleration of the moon due to the Sun's gravity and the acceleration of the Earth due to the Sun's gravity. And this difference is smaller than the influence the Earth's gravity has on the Moon.
 
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