How does the position of the Moon affect gravitational pull and weight on Earth?

[whoareyou]

So then all points on Earth are still non-inertial? So I'm guessing then our inertial frame is just somewhere in space?

 

[ehild]

It can be somewhere in space or at barycentre between the Earth and Moon).

ehild

 

[whoareyou]

Hold on, when we defined a_E in ehild's proof, it was due to the gravity of the moon. Doesn't the person also contribute to the Earth's acceleration?

 

[ehild]

The mass of the man is very small with respect to the mass of the Earth. You can ignore its effect on Earth.

ehild