Why doesn't the moon fall on earth?

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The moon does not fall into the Earth due to its high sideways velocity, which compensates for the gravitational pull, allowing it to maintain a stable orbit. When the moon is closer to Earth, the gravitational force is stronger, but its increased speed prevents it from spiraling down. Similarly, the Earth does not fall into the sun because its elliptical orbit causes it to speed up as it approaches the sun, balancing gravitational forces. This concept is explained by conservation of energy, where gravitational potential energy converts to kinetic energy as objects come closer. Ultimately, both the moon and Earth are in a delicate balance of gravitational attraction and orbital motion.
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I am curious as to why the moon doesn't fall into the earth. Did a few searches and found:

https://www.physicsforums.com/archive/t-58667_Why_doesnt_the_moon_just_fall_to_the_earth?.html

But that doesn't explain one thing.

Moons orbit is not an exact circle. Its "almost" circular. So when the moon is closest towards earth, shouldn't Earth's gravitational force on moon be stronger resulting in a spiral down-fall and eventally moon crashing into the earth?

And a similar question: why doesn't the Earth fall into the sun? Earths orbit is even more oblique. So shouldn't the sun attract Earth with greater force when it is nearer on days of equinoxes and eventually lead to a spiral down fall too?
 
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When the moon is closest to the Earth, it's also traveling "sideways" at its fastest rate. This is generally true for any elliptical orbit. An extreme case is that of a comet, such as Halley's comet. When it is close to the Sun, it travels at such a high speed that it takes less than a year to go a fair portion of the distance around, but when it's far away it takes another 75 years to return again. Why? Because it slows down as it gets further from the sun.

You're right that the attractive force of gravity is greater when the moon is closer to the Earth, but the extra speed compensates for the extra pull, and the moon still "misses" the Earth as it falls around it.
 
Ah, that makes sense.

And then the question arises: why does the speed of an object increase when its closer in its elliptical orbit?
 
Conservation of energy is one way to explain it easily. As the planet comes close to the sun it's gravitational potential energy is lowest so it's kinetic energy is highest.
 
ankeshk said:
Ah, that makes sense.

And then the question arises: why does the speed of an object increase when its closer in its elliptical orbit?
Simply put, when an the moon is moving towards the earth, it speeds up because of the gravitational pull that is pulling it closer to the earth. Its exactly the same as when you jump off a diving board and accelerate as you fall. Imagine, though, if you jumped off a really tall diving board with enough forward velocity that you'd miss the Earth when you fell toward it. That's an eliptical orbit.
 
the spped that it travels counter acts the gravity on it. So it doesn't come flying to the earth.
:D
 
ankeshk said:
why the moon doesn't fall into the earth

In a way it does, all the time.

Even if each year it is a little bit more distant.
 
I was asked the same question on October 4, 1957, when I told my soccer coach that the Russians had just launched Sputnik, the world's first artificial satellite.

Bob S
 
When you're on Earth and you fall down from something, you will always hit the ground because that's all there is "down".

However, it's not the same when you get into astronomical distances. Imagine you you go way up into space, as far as the moon is, and you look "down" towards the earth. This is what you see:

[PLAIN]http://reconstruction.eserver.org/072/images/Uddin_AS08-14-2383.jpg

In fact you see even more sky and less earth, as that picture is cropped. So now the Earth is just a small part of the sky. If you "fall" towards the earth, it's not so easy to hit anymore. Chances are you will end up missing it even though it's pulling you towards it. If you do miss it, you'll still a have a huge speed due to the Earth's gravity, and you'll end up orbiting the thing.
 
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Let us not forget that both the Earth and the moon are pulling on each other. Why are we not asking about the Earth falling onto the moon?

Furthermore, it's been decades since we landed on the moon. Why do we still consider outer space to be the in the direction of "up"? Is "up" intrinsically tied in with our definition of gravity?

====8<------------------
 
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