<p>You may have gotten your reference frame wrong. The moon never stopped revolving around its own axis, it's just that one revolution takes as long as one orbit around the earth.</p>

<blockquote>
  <p>So, at one point in time, it would no longer complete a full spin, but instead reverse its turn direction</p>
</blockquote>

<p>No, it just slowed down contiually until one side faced earth permanently (discounting <a href="https://en.wikipedia.org/wiki/Libration" rel="nofollow">libration</a>, which, as you say, is due to the ellipticity of the orbit.).</p>

<p>Tidal forces get weaker as tidal locking progresses, so the change in lunar spin would be greater at earlier times and then asymptotically approach zero as the moon becomes tidally locked.</p>

CC BY-SA 3.0
2016-08-17T10:25:23.880Z
Are you saying the spin slowed down to a crawl first, and only then the mass imbalance creating the attractor direction (and finally stopping the Moon for good) appeared? e.g. the moon never turned in the opposite direction? Also, frame of reference is never wrong or right, it's just always what we choose ;) I choose the frame with axis always aimed at Earth; in that frame the Moon is not spinning. :)
SF.
CC BY-SA 3.0
2016-08-17T11:08:20.030Z
Bad frame of reference can lead to a situation looking more complicated than it is, and lead to drawing the wrong conclusions. Tidal forces will work on any extended object, you don't need an internal asymmetry. If you look "from the top" at the isolated earth-moon system, you'll see that the moon slows down its spin until it is tidally locked. In your scenario, the moon would have to slow down more than is necessary for tidal locking, then spin up again. Why, and how could that work? If you take "stopping" out of the picture, it all gets much simpler.
Alex
CC BY-SA 3.0
2016-08-17T12:21:57.923Z
That's the second factor I wrote about: dynamic tidal forces acting as friction. The first factor is mass asymmetry, where tidal forces cause oscillation. Place a very long bar in orbit, pointing at Earth (not precisely; at a small angle). it will start turning as the bottom end exceeds its local orbital velocity and is being "ejected outwards" while the top end goes below the local orbital velocity and is pulled down. Its maximum rotary velocity is in horizontal position, then the rotation will reverse once the ends are reversed.
SF.
CC BY-SA 3.0
2016-08-17T12:25:33.563Z
That effect is much more pronounced than the "frictional" tidal forces (losses of energy through heat due to material stress caused by tidal forces), and it takes a very long time for the bar to stabilize horizontally. Similarly, Moon's asymmetries cause similar effect, though through its age the "frictional" forces extinguished most of the effect - or all of it; the question asks precisely how much.
SF.
CC BY-SA 3.0
2016-08-17T13:05:05.097Z
uh. I just realized I got the example wrong: lower altitude will result in too low a velocity and a downwards pull, and vice versa. The stable position will be vertical. Horizontal is unstable equilibrium.
SF.
CC BY-SA 3.0
2016-08-18T17:14:53.040Z
Sorry for the late reply. It seems I'll have to think a lot more carefully about how you can get this oscillation (I still don't see how the moon would be slowing down its spin by too much -- again, the other reference frame). Do you have a reference for this effect in fact occuring? I found http://physics.stackexchange.com/questions/156845/physics-of-tidal-locking-can-the-process-be-underdamped, and the two answers disagree.
Alex
CC BY-SA 3.0
2016-08-19T01:09:14.833Z
The second effect - tidal forces acting as damper/friction - is referenced pretty much everywhere. The gravity gradient distorts the rotating body and the stress forces are dissipated as heat. The first one - e.g. [here](http://space.stackexchange.com/questions/17191/is-the-difference-in-orbital-velocity-of-different-parts-measurable-on-board-the/17192#17192). Any body with mass asymmetry over a considerable distance will be subjected to the gravity gradient forces. This is the reason why the Moon's long-term spin relative to Earth is a flat zero, and not just "extremely slow".
SF.
CC BY-SA 3.0
2016-08-17T09:52:54.543Z
2016-08-17T09:52:54.543Z
Alex
<p>Logically moon has partially completed tidal locking and is  on its way to complete its tidal locking in future..ie will eventually have zero angular spin with respect to earth. In past, after moon just stopped spinning, it must have started to go back in reverse directiion and continued back and forth ever since, just like a pendulam having harmonic motion and continued till today. The amplitude of the harmonic motion must be reducing with time due to kinetic losses. When the amplitude finally becomes zero in distant future, at that time it will be in absolute tidal locking with earth.</p>

CC BY-SA 4.0
2019-07-20T08:59:37.463Z
Why? There is nothing what could decrease the amplitude of the pendulum.
peterh
CC BY-SA 4.0
2019-07-20T08:08:47.160Z
2019-07-20T08:08:47.160Z
Sundeep Kumar
<p>Yes, the Moon it is actually oscillating , and actually it is not really tidally locked, infact it is slowly going far away from Earth (by the time the Moon will leave the orbit the sun would already have expire its life however).</p>

<p>Let's see this photo from <a href="https://en.wikipedia.org/wiki/Moon" rel="nofollow noreferrer">Wikipedia</a>:</p>

<p><a href="https://i.sstatic.net/Q3Hj5.gif" rel="nofollow noreferrer"><img src="https://i.sstatic.net/Q3Hj5.gif" alt="moon oscillation"></a></p>

<p>In this image the moon phases where accelerated, the full complete oscillation takes about 1 month to complete.</p>

CC BY-SA 3.0
2016-08-17T09:57:31.957Z
This motion is what we see from Earth, in reality the moon is just revolving around its axis in 1 direction.
CoffeDeveloper
CC BY-SA 3.0
2016-08-17T13:13:04.723Z
The Moon's appearance does oscillate (called libration) but this doesn't mean it isn't tidally locked with Earth.
Dean
CC BY-SA 3.0
2016-08-17T13:27:20.310Z
From what understand tidal locking result in a stable orbit (I may be wrong), moon orbit is not stable, it is slowing going away. If I'm wrong my apologize :), in that case then the moon orbit is unstable and tidally locked at same time :). I think a detail wrong in an answer does not deserve a downvote anyway
CoffeDeveloper
CC BY-SA 3.0
2016-08-17T14:02:41.857Z
The Moon's orbit is stable in so much that it doesn't degrade or exhibit complex behavior. Just because the Moon is slowly moving away doesn't mean it isn't stable, all orbits evolve over time, and in this case the drag of the Earths oceans has caused the Moon to recede. In any case, the Moon will stay tidally locked to the Earth as it moves away and the Earth's rotation slows down.
Dean
CC BY-SA 3.0
2016-08-17T09:41:43.113Z
2016-08-17T09:41:43.113Z
CoffeDeveloper
<p>This is called "physical libration". <a href="https://hal.archives-ouvertes.fr/hal-00588671/document" rel="noreferrer">The Moon’s physical librations and determination of its free modes</a> (2011) estimates it using the Apollo mission retroreflectors. Their result is very small. They note that the "damping times for these two modes are estimated as <span class="math-container">$2$</span>x<span class="math-container">$10^4$</span> and <span class="math-container">$2$</span>x<span class="math-container">$10^6$</span> years", so it is a mystery why it is even as large as their small result. They say:</p>

<blockquote>
  <p>Some possible excitation mechanisms have been explored in the past without satisfactory explanation. It has been shown that a recent meteoroid impact is an unlikely source of such excitation Peale (1975). Eckhardt (1993) proposed an excitation process related to a resonance crossing of the longitude normal mode (of 2.9 years) and a close forced frequency. During the evolution of the lunar orbit, the free and forced frequencies change slowly and can cross. However, the mechanism excites only the libration in longitude mode. Yoder (1981) proposed an alternative mechanism, based on turbulent fluid core interaction, to excite the wobble mode. The new determination of the amplitudes of the free librations invites new investigation of their excitation mechanisms.</p>
</blockquote>

<p>I did not search to see whether anyone has taken up their invitation.</p>

CC BY-SA 4.0
2019-01-03T06:37:33.337Z
2019-01-03T06:37:33.337Z
Keith McClary
<p>The Moon is tidally locked to Earth - a long time ago it was spinning, but after a time, the spin stopped - two factors stabilizing it: unequal mass distribution creating an equilibrium position where there's one "preferred" axis by which it faces Earth - an attractor, and the dynamic tidal forces acting as stress upon its structure, dissipating the energy - a friction, reducing the rotation speed.</p>

<p>So, at one point in time, it would no longer complete a full spin, but instead reverse its turn direction, start spinning in opposite direction, with maximum spin speed around the time where the "preferred" axis faces Earth, then slowing down again, until its spin stops, and reverses direction again - each time the angle smaller as the dynamic forces act against the direction of rotation - but also, with the rotation angle and angular velocity dropping, the value of the dynamic forces dropping.</p>

<p>There is a significant apparent wobble caused by the orbit's eccentricity, and possibly some actual continuous wobble, as the result - with the attractor axis missing Earth as result. But is there any long-term oscillation left over from the times when the Moon was spinning - a harmonic motion around its original spin axis, that would likely not be in tune with the orbital period? (I imagine the period of these oscillations would be very long; after all it's about reversing Moon's spin back and forth, by a force that isn't all that strong.)</p>

<the-moon><tidal-locking>
Is there any residual oscillation left from the Moon rotation?
SF.
# Is there any residual oscillation left from the Moon rotation?

(Asked by: username_0 on 2016-08-17)

The Moon is tidally locked to Earth - a long time ago it was spinning, but after a time, the spin stopped - two factors stabilizing it: unequal mass distribution creating an equilibrium position where there's one "preferred" axis by which it faces Earth - an attractor, and the dynamic tidal forces acting as stress upon its structure, dissipating the energy - a friction, reducing the rotation speed.

So, at one point in time, it would no longer complete a full spin, but instead reverse its turn direction, start spinning in opposite direction, with maximum spin speed around the time where the "preferred" axis faces Earth, then slowing down again, until its spin stops, and reverses direction again - each time the angle smaller as the dynamic forces act against the direction of rotation - but also, with the rotation angle and angular velocity dropping, the value of the dynamic forces dropping.

There is a significant apparent wobble caused by the orbit's eccentricity, and possibly some actual continuous wobble, as the result - with the attractor axis missing Earth as result. But is there any long-term oscillation left over from the times when the Moon was spinning - a harmonic motion around its original spin axis, that would likely not be in tune with the orbital period? (I imagine the period of these oscillations would be very long; after all it's about reversing Moon's spin back and forth, by a force that isn't all that strong.)

**Tags:** the-moon, tidal-locking

---

## 4 answers

### Answer by username_6 on 2019-01-03. Score: 6 | Accepted answer

This is called "physical libration". [The Moon’s physical librations and determination of its free modes](https://hal.archives-ouvertes.fr/hal-00588671/document) (2011) estimates it using the Apollo mission retroreflectors. Their result is very small. They note that the "damping times for these two modes are estimated as $2$x$10^4$ and $2$x$10^6$ years", so it is a mystery why it is even as large as their small result. They say:

> Some possible excitation mechanisms have been explored in the past without satisfactory explanation. It has been shown that a recent meteoroid impact is an unlikely source of such excitation Peale (1975). Eckhardt (1993) proposed an excitation process related to a resonance crossing of the longitude normal mode (of 2.9 years) and a close forced frequency. During the evolution of the lunar orbit, the free and forced frequencies change slowly and can cross. However, the mechanism excites only the libration in longitude mode. Yoder (1981) proposed an alternative mechanism, based on turbulent fluid core interaction, to excite the wobble mode. The new determination of the amplitudes of the free librations invites new investigation of their excitation mechanisms.

I did not search to see whether anyone has taken up their invitation.


---

### Answer by username_1 on 2016-08-17. Score: 2

You may have gotten your reference frame wrong. The moon never stopped revolving around its own axis, it's just that one revolution takes as long as one orbit around the earth.

> So, at one point in time, it would no longer complete a full spin, but instead reverse its turn direction

No, it just slowed down contiually until one side faced earth permanently (discounting [libration](https://en.wikipedia.org/wiki/Libration), which, as you say, is due to the ellipticity of the orbit.).

Tidal forces get weaker as tidal locking progresses, so the change in lunar spin would be greater at earlier times and then asymptotically approach zero as the moon becomes tidally locked.

> **Comments:**
> **username_0**: Are you saying the spin slowed down to a crawl first, and only then the mass imbalance creating the attractor direction (and finally stopping the Moon for good) appeared? e.g. the moon never turned in the opposite direction? Also, frame of reference is never wrong or right, it's just always what we choose ;) I choose the frame with axis always aimed at Earth; in that frame the Moon is not spinning. :)  
> **username_1**: Bad frame of reference can lead to a situation looking more complicated than it is, and lead to drawing the wrong conclusions. Tidal forces will work on any extended object, you don't need an internal asymmetry. If you look "from the top" at the isolated earth-moon system, you'll see that the moon slows down its spin until it is tidally locked. In your scenario, the moon would have to slow down more than is necessary for tidal locking, then spin up again. Why, and how could that work? If you take "stopping" out of the picture, it all gets much simpler.  
> **username_0**: That's the second factor I wrote about: dynamic tidal forces acting as friction. The first factor is mass asymmetry, where tidal forces cause oscillation. Place a very long bar in orbit, pointing at Earth (not precisely; at a small angle). it will start turning as the bottom end exceeds its local orbital velocity and is being "ejected outwards" while the top end goes below the local orbital velocity and is pulled down. Its maximum rotary velocity is in horizontal position, then the rotation will reverse once the ends are reversed.  
> **username_0**: That effect is much more pronounced than the "frictional" tidal forces (losses of energy through heat due to material stress caused by tidal forces), and it takes a very long time for the bar to stabilize horizontally. Similarly, Moon's asymmetries cause similar effect, though through its age the "frictional" forces extinguished most of the effect - or all of it; the question asks precisely how much.  
> **username_0**: uh. I just realized I got the example wrong: lower altitude will result in too low a velocity and a downwards pull, and vice versa. The stable position will be vertical. Horizontal is unstable equilibrium.  
> **username_1**: Sorry for the late reply. It seems I'll have to think a lot more carefully about how you can get this oscillation (I still don't see how the moon would be slowing down its spin by too much -- again, the other reference frame). Do you have a reference for this effect in fact occuring? I found http://physics.stackexchange.com/questions/156845/physics-of-tidal-locking-can-the-process-be-underdamped, and the two answers disagree.  
> **username_0**: The second effect - tidal forces acting as damper/friction - is referenced pretty much everywhere. The gravity gradient distorts the rotating body and the stress forces are dissipated as heat. The first one - e.g. [here](http://space.stackexchange.com/questions/17191/is-the-difference-in-orbital-velocity-of-different-parts-measurable-on-board-the/17192#17192). Any body with mass asymmetry over a considerable distance will be subjected to the gravity gradient forces. This is the reason why the Moon's long-term spin relative to Earth is a flat zero, and not just "extremely slow".  

---

### Answer by username_2 on 2019-07-20. Score: 0

Logically moon has partially completed tidal locking and is on its way to complete its tidal locking in future..ie will eventually have zero angular spin with respect to earth. In past, after moon just stopped spinning, it must have started to go back in reverse directiion and continued back and forth ever since, just like a pendulam having harmonic motion and continued till today. The amplitude of the harmonic motion must be reducing with time due to kinetic losses. When the amplitude finally becomes zero in distant future, at that time it will be in absolute tidal locking with earth.

> **Comments:**
> **username_3**: Why? There is nothing what could decrease the amplitude of the pendulum.  

---

### Answer by username_4 on 2016-08-17. Score: -1

Yes, the Moon it is actually oscillating , and actually it is not really tidally locked, infact it is slowly going far away from Earth (by the time the Moon will leave the orbit the sun would already have expire its life however).

Let's see this photo from [Wikipedia](https://en.wikipedia.org/wiki/Moon):

[![moon oscillation](https://i.sstatic.net/Q3Hj5.gif)](https://i.sstatic.net/Q3Hj5.gif)

In this image the moon phases where accelerated, the full complete oscillation takes about 1 month to complete.

> **Comments:**
> **username_4**: This motion is what we see from Earth, in reality the moon is just revolving around its axis in 1 direction.  
> **username_5**: The Moon's appearance does oscillate (called libration) but this doesn't mean it isn't tidally locked with Earth.  
> **username_4**: From what understand tidal locking result in a stable orbit (I may be wrong), moon orbit is not stable, it is slowing going away. If I'm wrong my apologize :), in that case then the moon orbit is unstable and tidally locked at same time :). I think a detail wrong in an answer does not deserve a downvote anyway  
> **username_5**: The Moon's orbit is stable in so much that it doesn't degrade or exhibit complex behavior. Just because the Moon is slowly moving away doesn't mean it isn't stable, all orbits evolve over time, and in this case the drag of the Earths oceans has caused the Moon to recede. In any case, the Moon will stay tidally locked to the Earth as it moves away and the Earth's rotation slows down.  

---

