Is the moon closer or further away to us than predicted by Newton

In summary: Although Newton could have used his knowledge of the Earth's gravitational force in combination with the moon's sidereal period (Kepler's third law) to calculate the distance to the moon, laser ranging measurements are now being used to look for GR effects.
  • #1
seasnake
42
0
I saw on t.v. that the moon's distance to Earth as measured by lasers reflecting off of the mirrors left on the moon by Apollo 13 was a bit off from Newton's Fg = Gm1m2 / r^2 formula. I don't recall if the moon was closer or further away from Earth than what was predicted by Newton's formula.
 
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  • #2
I don't think this question makes sense. One can have an orbit at any radius, so there is no radius "predicted by Newton". There are differences between GR and Newton, but radius is not one of them.
 
  • #3
seasnake said:
mirrors left on the moon by Apollo 13

Are you sure that Apollo 13 left mirrors on the Moon? :biggrin:

The average distance between the Earth and the Moon is increasing at the rate of almost two inches per year due to the tidal gravitational interaction of the Earth and the Moon, but, as Vanadium 50 posted, this is predicted by Newtonian gravity.
 
  • #4
George Jones said:
Are you sure that Apollo 13 left mirrors on the Moon? :biggrin:

Tossed 'em out the window perhaps?
 
  • #6
Stratosphere said:
Although Apollo 13 never left reflectors behind 3 other Apollo missions did.

Yeah, we know. Appolo 13 didn't leave anything on the Moon.
 
  • #7
seasnake said:
I saw on t.v. that the moon's distance to Earth as measured by lasers reflecting off of the mirrors left on the moon by Apollo 13 was a bit off from Newton's Fg = Gm1m2 / r^2 formula. I don't recall if the moon was closer or further away from Earth than what was predicted by Newton's formula.
This is a very good question. Newton could have used his knowledge of the Earth's gravitational force in combination with the moon's sidereal period (Kepler's third law) to calculate the distance to the moon. Laser ranging could verify these relations. These laser measurements are now being used to look for GR effects. See
http://www.physics.ucsd.edu/~tmurphy/apollo/basics.html
In addition, click on "track our progress" at the bottom of this URL to see details of the laser ranging measurements.
 

1. Is the moon actually getting further away from the Earth?

No, the moon is not actually getting further away from the Earth. In fact, it is slowly moving away at a rate of approximately 3.8 centimeters per year. This is due to tidal forces between the Earth and the moon.

2. Does this mean Newton's laws of gravity are incorrect?

No, Newton's laws of gravity are not incorrect. They accurately describe the gravitational forces between the Earth and the moon. However, they do not account for the effects of tidal forces, which can cause the moon's orbit to gradually increase over time.

3. How do we know that the moon is moving away from the Earth?

We know that the moon is moving away from the Earth because of precise measurements of its orbit using techniques such as laser ranging and lunar laser ranging. These measurements have shown that the moon's distance from Earth is increasing over time.

4. Will the moon eventually drift away from the Earth entirely?

No, the moon will not drift away from the Earth entirely. While it is true that the moon's orbit is gradually increasing, it is also true that the Earth's rotation is gradually slowing down due to tidal forces. Eventually, these two effects will reach an equilibrium, and the moon will remain at a constant distance from the Earth.

5. How does this affect the tides on Earth?

The moon's increasing distance from Earth does affect the tides, but the effect is very small and not noticeable to the average person. Tidal forces are still the primary factor in causing tides on Earth, and the moon's distance only plays a minor role in this process.

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