Does the Earth's mass affect the Moon's orbit?

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The discussion clarifies that while the moon orbits the Earth, both bodies actually orbit a common center of mass, which is very close to the Earth's center due to its greater mass. The moon's gravitational pull on Earth is significantly weaker than Earth's pull on the moon, leading to the perception that the moon orbits the Earth without much effect on Earth's motion. Newton's third law confirms that the forces between the two bodies are equal, but the difference in mass results in different inertial responses. The Earth's orbit does experience a slight wobble due to the moon's influence, but this effect is minimal. Overall, the moon's orbit around Earth is a result of their mutual gravitational attraction and the relative mass difference.
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hello, could someone help me explain the truth of this statement:

"The moon moves in a near- circular orbit around earth. Because the Earth is so much more massive, its own motion is not appreciably affected by the moons precense"

Thank you.
 
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It's apparently true, but not exactly. As with any other pair of objects, they both orbit a point midway between their centres of mass. That point, however, is so close to the centre of the Earth that the difference is very difficult to detect. Proper instrumentation can detect a distinct 'wobble' to Earth's orbit.
 
Both of the masses pull each other. The moon's pull is much lesser than the Earth's.
 
the better "truth" is that the moon and the Earth move in a nearly circular elliptical orbit around their common center of mass.
 
Mk said:
Both of the masses pull each other. The moon's pull is much lesser than the Earth's.

Whoa! You may want to think about this again. Look at how one would calculate such a force using F = G M_1 M_2/r^2. You'll notice that it doesn't matter which mass you assign to the Earth and which one you assigned to the moon. The force on the Earth due to the moon is equal to the force on the moon due to the earth. This is Newton's 3rd law.

Zz.
 
Sounds to me like it all comes back to inertia. Since Zz points out the forces are the same, then the variable is mass. Since the Earth has much greater mass, it has much greater inertia, therefore the Moon "succumbs" most obviously to the force and orbits the Earth in the layman sense.

Danger's reply could have been worded better, but it is correct.

In layman terms, the Moon orbits the Earth, and the Earth orbits the Sun but wobbles a little due to the effect of the Moon.
 
I do not have a good working knowledge of physics yet. I tried to piece this together but after researching this, I couldn’t figure out the correct laws of physics to combine to develop a formula to answer this question. Ex. 1 - A moving object impacts a static object at a constant velocity. Ex. 2 - A moving object impacts a static object at the same velocity but is accelerating at the moment of impact. Assuming the mass of the objects is the same and the velocity at the moment of impact...

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