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In this case the height of the fall is far to high above Earth to be use P

##\int \frac{GmM_e}{r^2}dr##

So I'm confused with respect to another object, specifically the moon, if the max height of the fall is from the point where F

How do I expand the integral... I think its one of these but I'm not sure which one...

h = Height of the fall which is the radius where Fg Earth = Fg Moon.

b = Earth's total distance from the moon - h

n = Bottom of the fall in LEO.

m = Mass of Falling Object.

M

M

I feel like I shouldn't even include the moon in the integral at all because the fall is up to the point where g

##\frac{-GmM_e}{h} - \frac{-GmM_e}{n}##

But I was told it should be and the moon should be included.

##\frac{-GmM_e}{h} + \frac{-GmM_m}{b}##

I'm still missing an element in understanding the math which is okay because I'm a level below this in school, but I like to stay ahead so if you could please explain which answer is right and why, I'd be very grateful?

_{E}=mgh. So I'm trying to integrate the inverse square gravitational force over distance.##\int \frac{GmM_e}{r^2}dr##

So I'm confused with respect to another object, specifically the moon, if the max height of the fall is from the point where F

_{g}_{Earth }= F_{g}_{Moon}.How do I expand the integral... I think its one of these but I'm not sure which one...

*Let*h = Height of the fall which is the radius where Fg Earth = Fg Moon.

b = Earth's total distance from the moon - h

n = Bottom of the fall in LEO.

m = Mass of Falling Object.

M

_{e}= Mass of the Moon.M

_{e}= Mass of the Earth.I feel like I shouldn't even include the moon in the integral at all because the fall is up to the point where g

_{moon}< g_{earth}. So I think it might be.*..*##\frac{-GmM_e}{h} - \frac{-GmM_e}{n}##

But I was told it should be and the moon should be included.

##\frac{-GmM_e}{h} + \frac{-GmM_m}{b}##

I'm still missing an element in understanding the math which is okay because I'm a level below this in school, but I like to stay ahead so if you could please explain which answer is right and why, I'd be very grateful?

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