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The Moon - Can NASA be wrong?

 
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Jack_Ian
Big Endian



PostPosted: Fri Jan 20, 2006 9:05 pm    Post subject: 1 Reply with quote

NASA has an educational movie downloadable here, called "Why do we only see one side of the Moon?", where they say, "If you were on the near side of the moon, you would see our rotating Earth fixed in the same spot in the sky ALL THE TIME. Think about it!"

Well I've thought about it, and I would expect to see the Earth trace a circle or figure eight in the sky as the Earth rotates about the Sun.

Here's why I think this..

From what I understand, the Moon's rotation about the Earth became synchronised due to its proximity, its relatively small size and the centrifugal force of the orbit encouraging the "heavier" side of the Moon to remain furthest away from us, over millions of years.

I have observed that at different times of the year the Moon traces a higher path through the sky than at other times (not sure if this cycles once or twice a year), so this means that the Moon's orbit is not perpendicular to the Earth's axis.

Now if the Earth was to remain in exactly the same location in the Moon's sky, then, if you were standing on the Moon, you would see the Earth rotate, while the Sun, planets and stars pass behind it. You would also see the Earth's poles alternate, either moving directly towards you and then away from you, or tracing small circles/ellipses as they do so.

Now, if the Moon traced the same path through the sky all year round, then I would have no problem accepting NASA's statement, but to keep exactly the same face pointing towards the Earth, the Moon would also have to synchronise its tilt and not just its rotation. While I can accept the synchronisation of the Moon's rotation over millions of years, I simply cannot see how the Moon's tilt could also be synchronised, given that the Earth is not a perfect sphere (it's fatter round the middle due to its spin).

Am I wrong?
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Lepton*
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PostPosted: Fri Jan 20, 2006 9:45 pm    Post subject: 2 Reply with quote

Yes.
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Lepton*
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PostPosted: Fri Jan 20, 2006 10:00 pm    Post subject: 3 Reply with quote

Try to think of the system from an external point of view.

<- SUN.............../.............................o

The moon's orbit is in the plane of the earth's orbit. This is why is traces the same path through the sky as the sun and the other planets (the path is called the ecliptic or the zodiac). I think that you are underestimating the distance between the earth and the moon: no matter where you stand on the earth, you will always see the same side of the moon, give or take a moonrock.

Imagine that all the orbits and rotations of interest are perfectly aligned. Tidal locking is easily seen in this case. Now tilt the earth's rotation but keep the moon's orbit the same. That's how it is.

In reality, the moon wobbles a little bit: an astute observer can see a degree or two more of each side of the moon than should strictly be the case if it was truly tidally locked.
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wordcross

<memstat>



PostPosted: Fri Jan 20, 2006 11:27 pm    Post subject: 4 Reply with quote

interestingly enough, I'm listening to Pink Floyd's "Dark Side of the Moon" as i open and read this thread Revenge most foul!

I have no actual information about the phenomenon, however Revenge most foul!

Although, if you look at it right, you can see Trodgor in the moon Revenge most foul!
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Samadhi
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PostPosted: Fri Jan 20, 2006 11:33 pm    Post subject: 5 Reply with quote

Here's an example of the distances (to scale).

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Samadhi
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PostPosted: Fri Jan 20, 2006 11:39 pm    Post subject: 6 Reply with quote

Figures Wiki would have a much better one:
http://upload.wikimedia.org/wikipedia/en/a/a7/Earth-Moon.jpg
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Samadhi
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PostPosted: Sat Jan 21, 2006 1:55 am    Post subject: 7 Reply with quote

Quote:
I would expect to see the Earth trace a circle or figure eight in the sky
Coincidentally, that's what the sun does if you track its course in the sky over a year checking at the same time of day. The term for this movement in the sky is
analemma.
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amb*
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PostPosted: Sat Jan 21, 2006 4:31 am    Post subject: 8 Reply with quote

Anal Emma? I know her...
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Samadhi
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PostPosted: Sat Jan 21, 2006 4:33 am    Post subject: 9 Reply with quote

Hey, to each their own.
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Jack_Ian
Big Endian



PostPosted: Mon Jan 23, 2006 5:29 pm    Post subject: 10 Reply with quote

My problem is that I cannot see how the Moon's rotation can ever be truly synhronous, without orbiting in a circle around the Earth's equator.
Any deviance would result in an apparent movement of the Earth in the Moon's sky.
Since the moon neither rotates about Earth's equator nor has a circular orbit, I expected there to be some deviance and assumed it would be non-trivial.
If the deviance was trivial then I would accept NASA's statement.

I decided to check for information regarding the amount of deviance, and found this.

Wikipedia wrote:
The Moon is in synchronous rotation, meaning that it keeps the same face turned to the Earth at all times. This synchronous rotation is only true on average because the Moon's orbit has definite eccentricity. When the Moon is at its perigee, its rotation is slower than its orbital motion, and this allows us to see up to an extra eight degrees of longitude of its East (right) side. Conversely, when the Moon reaches its apogee, its rotation is faster than its orbital motion and reveals another eight degrees of longitude of its West (left) side. This is called longitudinal libration.


16 degrees, rotational deviance is definitely non-trvial.
To give you an idea of how much movement this represents, look at Orion's belt.
The angular seperation from one side of the belt to the other, is 2°44"10'.
16 degrees is six times that distance.

Further reading seemed to show a tilt-deviance also, but I did not understand enough to quantify it.

The Earth definitely moves significantly in the Moon's sky.

NASA IS WRONG!!!
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Lepton*
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PostPosted: Mon Jan 23, 2006 6:28 pm    Post subject: 11 Reply with quote

The fact that those 16 degrees exist does not negate the fact that you are incorrect.
Quote:
My problem is that I cannot see how the Moon's rotation can ever be truly synhronous, without orbiting in a circle around the Earth's equator.

The orbit isnot about the Earth's equator. If you were watching the Earth from the Moon, it would seem to wobble something awful with a period of about a month. However, to within the ellipticity of the moon's orbit, the Earth will stay in the same place in the sky. The deviance results from the ellipticity of the orbit.
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GH
Daedalian Member



PostPosted: Mon Jan 23, 2006 6:56 pm    Post subject: 12 Reply with quote

When I look at the moon high in the sky, it looks like it's about as big as my thumbnail (when my arm is fully extended). If I were on the near side of the moon (very close to the point that is nearest the earth), how big would the earth look?
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Jack_Ian
Big Endian



PostPosted: Mon Jan 23, 2006 7:40 pm    Post subject: 13 Reply with quote

Lepton,

OK! I think we agree on the following (please correct me if I'm wrong):
1) The Earth moves significantly in the Moon's sky.
2) A truly synchronous rotation is not possible where the orbit is elliptical.

Where we differ is on whether a synchronous rotation is possible when the moon does not orbit about the equator.
I say it's not possible given the Earth's non-spherical shape.
In order for it to be possible, a circular orbit must be possible about a non-circular object.

I do concede however, that I underestimated the relative distance between the Earth and the Moon and therefore overestimated the significance of Earth's "flatness".
As such I am willing to concede that any irregularity in the orbit, caused by Earth's flatness, could conceivably be insignificant.
Especially since my main point, that NASA was wrong, is now accepted.
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Jack_Ian
Big Endian



PostPosted: Mon Jan 23, 2006 7:53 pm    Post subject: 14 Reply with quote

GH wrote:
If I were on the near side of the moon (very close to the point that is nearest the earth), how big would the earth look?

http://en.wikipedia.org/wiki/Image:Apollo17.jpg

Recent research has shown me that the Earth is approximately 3.8 times larger than the Moon.
Given that the distance is the same each way. The Earth should appear 3.8 times larger in the sky.
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Jedo the Jedi
Paragon in Training



PostPosted: Mon Jan 23, 2006 10:26 pm    Post subject: 15 Reply with quote

What happened to being humble and only making normal, everyday mistakes, Jack? Razz
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Jack_Ian
Big Endian



PostPosted: Tue Jan 24, 2006 2:00 am    Post subject: 16 Reply with quote

Revenge most foul!

When we become aware of our humility, we've lost it.
Blessed are the meek: for they shall animate the earth.
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Lepton*
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PostPosted: Tue Jan 24, 2006 5:36 am    Post subject: 17 Reply with quote

I disagree that the Earth moves significantly in the moon's "sky". The dominant "wiggling" effect, which is caused by the eccentricity of the moon's orbit is really not all that significant.

What is significant is the concept of tidal locking, which is what I imagine is the point of the movie you link to. You have discovered a correction to the first approximation. It is not different than saying that E = mc^2 is incorrect, since E = sqrt(m^2c^4 + p^2c^2). However, in education, we don't teach the second equation, because the important stuff is contained in the first.
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Lepton*
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PostPosted: Tue Jan 24, 2006 5:38 am    Post subject: 18 Reply with quote

My appologies if that was a bit strong. The conservatives just won a federal election here in Canada, and I am rather disgruntled.
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Samadhi
+1



PostPosted: Tue Jan 24, 2006 6:01 am    Post subject: 19 Reply with quote

Well, they're minority if that's any consolation.
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Jack_Ian
Big Endian



PostPosted: Tue Jan 24, 2006 5:03 pm    Post subject: 20 Reply with quote

I'm sorry I couldn't make the Earth move for you Lepton. Wink
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Beartalon
'Party line' kind of guy



PostPosted: Thu Feb 16, 2006 4:32 am    Post subject: 21 Reply with quote

Jack_Ian wrote:
I'm sorry I couldn't make the Earth move for you Lepton. Wink

But Carole King could feel it.
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