Why do rays of light from the Sun appear to be angled?

[OmCheeto]

How about for larger angles?

I was afraid you would ask that.
Unfortunately, I didn't set up my original simulation for such a task, and it would have taken me another 3 hours to add larger angles, so I scratched my head, and came up with a faster solution: Google Earth Pro and their "grid" lines.

Looking west (latitude lines are parallel) from the height of the ISS:

It looks as though the Earth's curvature throws things off a bit more than I suspected, but not too much.

And from a geosynchronous orbit height:

The lines are "visually" quite linear.

I wasn't sure what your modelling was showing. This sort of geometry is hard to visualise. (Hence the Apollo misconceptions)

"hard to visualize"? I'd say; "Impossible".

Though, I did find one video that shows it quite well:

Wide angle lenses don't always give curved lines and some are terrible. The panels in the cloud shots are tapered, implying a fairly wide angle lens. But the taper goes the other way compared with the shadows so you can probably ignore my comment. (Situation normal.)

Along with finishing an on-line Linear Algebra course last week, I went back and studied lens/lense "stuff" yesterday. All I can say is; "Ehr mehr gerd! Maths is Hard!"

 

[Herman Trivilino]

When the sun's rays break through a cloud there appears a radiating pattern

God's rays!

I read an article some 10 years ago or so that explained this. The same explanation is given here:

Of course

Let me expand a bit on this comment:

You are imputing an angle that is not there. The rays, if extended, would meet at the sun. There are no good distance cues to make it clear that those rays are nearly parallel to your line of sight rather than at right angles to it.

Note that when you expose your eyes to a bright source, such as a bare light bulb, you can then see an after-image of that source when you blink your eyes. Practice this until you see it happen for yourself. (Some people who wear contact lenses may not be able to see this phenomenon.)

When you are able to see this after-image clearly by blinking, do so when staring a near-by wall. Now do the same thing for a far-away wall, that is, blink to see the same after-image while staring at a wall that is much further away. This is a fascinating demonstration! The after-image is much larger when the wall is farther away.

The reason is the same as the reason why the moon looks bigger when it's near the horizon.

The theory is that we learn as children that things that are further away appear smaller. Mom's face looks huge when she comes into rub noses with us, but when she's on the other side of the room it looks smaller. So in our minds we learn to compensate. We artificially inflate the sizes of things that are far away to make up for the fact that they subtend a smaller angle. When we look at a moon that is high above the horizon we have no clues as to how far away it is. But when the moon is low and near the horizon we can see it next to other things like trees. There we know it's further away than the trees so we inflate, in our minds, it's size.

The same reasoning applies to God's rays. The distance between any adjacent pair of rays is very nearly the same, that is, the rays are parallel. But in our minds we artificially inflate that distance for portions of the rays that are further away from us.

 

[sophiecentaur]

blink to see the same after-image while staring at a wall that is much further away.

You can rely on your brain to let you down when you need it most.

 

[DaveC426913]

Note that when you expose your eyes to a bright source, such as a bare light bulb, you can then see an after-image of that source when you blink your eyes. Practice this until you see it happen for yourself. (Some people who wear contact lenses may not be able to see this phenomenon.)

When you are able to see this after-image clearly by blinking, do so when staring a near-by wall. Now do the same thing for a far-away wall, that is, blink to see the same after-image while staring at a wall that is much further away. This is a fascinating demonstration! The after-image is much larger when the wall is farther away.

The reason is the same as the reason why the moon looks bigger when it's near the horizon.

I've known about the Moon size thing for a long time, and have often struggled to explain it to people. I've never heard it demonstrated so eloquently using a light bulb afterimage! Thanks!

 

[dAVID wINTERS]

This convergence perception is NOT, repeat NOT, due to mere parallax converging on the sun. L

Anybody who understands celestial navigation knows that the first unshakable tenant is that celestial bodies viewed from Earth at any particular moment display NO PARALLAX. NONE. Not even a smidgen. They are simply too far away. Without that understood, celestial navigation would be impossible.
That is what makes the apparent parallax of sun rays through clouds such an interesting paradox.

 

[sophiecentaur]

We don't always see the Sun's rays in a dramatic way.
Our perception let's us down frequently and out ideas about how high clouds are, how big the gaps / holes are and how far away the horizon is for clouds. It's just railway lines all over again but the lines (beams) are perhaps kms wide or apart and start tens of km away. I always look to evolution to explain our sensory shortcomings. When, in our early existences, were there any parallel lines that needed to be perceived as parallel? So why expect us to have evolved an innate sense of perspective. The rules of perspective was studied by academics and we follow them by rote and not by feelings. Diverging rays from the sun are an illusion. No worries.

 

[sophiecentaur]

When the sun's rays break through a cloud there appears a radiating pattern but if one drew a line through these rays they would meet much closer than the distance to the sun. How come?

The Sun may appear to be nearly resting on the sea but we know it is 150Mkm away. Those 'rays' (or more like 'shadows' in this case) appear to radiate from only a few hundred miles, max, away. Seeing is not believing.

 

[A.T.]

Anybody who understands celestial navigation knows that the first unshakable tenant is that celestial bodies viewed from Earth at any particular moment display NO PARALLAX. NONE. Not even a smidgen. They are simply too far away.

Those "rays" in the pictures are parallel stripes in the atmosphere, so not that far away.

 

[sophiecentaur]

Those "rays" in the pictures are parallel stripes in the atmosphere, so not that far away.

I would rather say they would be parallel in space ; the atmosphere does alter their path a little.
Also, at their nearest, they are not very far away; a few tens of km for some of them or closer, but they start off a very long way away. The railway line idea explains it about as well as it can be said in everyday language.

 

[Herman Trivilino]

A long time ago I learned this delicious little trick. Look briefly at a nearby glowing light bulb and blink a few times to verify that the after-image is still present. Then gaze a far away wall and blink. It is amazing how much bigger the after image becomes. This happens because we have learned to adjust in our minds the sizes of things based upon their distance away. Things that are further away have a smaller angular size so we amplify their size because we know they are actually larger than they appear.

This explains why the full moon looks larger when it's on the horizon. When it's on the horizon we can also see trees and other things on the horizon. We see that the moon is further away than those trees so enlarge it in our minds. When the moon is well above the horizon the comparison is not possible so the effect disappears and the moon looks its normal smaller size. You can verify this for yourself by extending your arm fully and eclipsing the moon with your thumb. You will verify that the moon is the same angular size whether it's on the horizon or high in the sky.

The same effect accounts for the so-called God's rays seen in the picture of Post #37.

 

[sophiecentaur]

You can’t keep your eyes totally still so the afterglow is bound to be swollen.
I don’t know what’s wrong with an explanation that’s based on psychology. Big things low down are much more potentially dangerous.
why would we even expect to have linear spatial perception?

 

[Herman Trivilino]

You can’t keep your eyes totally still so the afterglow is bound to be swollen.

Okay. But look at a wall that's close by and blink. Then do the same while looking at a wall that's far away. It's amazing how much larger the after image is when looking at the far away wall.

 

[sophiecentaur]

Okay. But look at a wall that's close by and blink. Then do the same while looking at a wall that's far away. It's amazing how much larger the after image is when looking at the far away wall.

Isn't that what you'd expect if the range of angles is the same but the angle subtended by the object is less? All I'm saying is that the simplest explanation is usually the favourite one. But that's not to reject the possibility of all sorts of psychological factors affecting our perception.
Size is perceived in a very non-linear way. Students are known often to estimate their teacher's height as greater than it is in fact. So that's a social factor at work.

 

[davenn]

Of course

There's Been A Mammoth Mistake.​

Like the mammoth, this page seems to be extinct.

But while we're on the topic, come explore the secrets of mammoth island with Discover.

Or we can always take you home.

 

[davenn]

There's Been A Mammoth Mistake.​

Like the mammoth, this page seems to be extinct.

But while we're on the topic, come explore the secrets of mammoth island with Discover.

Or we can always take you home.

would have been interested in that :)

 

[mfb]

In web.archive.org, if you can deal with the annoying overlay in the browser.

The image that got saved:

 

[sophiecentaur]

In web.archive.org, if you can deal with the annoying overlay in the browser.

I have to wonder what their approach to marketing does for their sales. I can't be bothered to try their website and I bet I'm not the only one (=skinflint).
It's a good image, though and shows the rays just 'going past' from left to right with paths distant from the camera with no apparent parallax effect. As with railway lines, there could be a measurable curve (barrel distortion effect) but for their fuzziness.

 

[mfb]

It's possible that the problem was produced from some interaction of the original website and the archiving. Deleting the element in the debugger worked.

 

[kaiatiuw]

I am no scientist, but this is fairly simple I think (and it's not like I've never been wrong :).
Two points to understand this:

1 - We are physically unable to see the parallel lines as parallel on a large scale.
Such is the optics of our eye and the interpretation of the eye output by our brain. Just like we cannot see the microbes, we cannot see parallel lines. It is just a given. But you must prove it to yourself first:
Proof:
Find a set of totally parallel objects that are much larger than you are.
Confirm that they are in fact parallel by careful measurements.
Look and see that you are still unable to detect parallelism by your eye.

That same railway is one example, and for me it was a giant warehouse with exposed roof beams that go forever. I could drive under the roof on a mil truck for minutes before I could reach the opposite wall. I saw that all those beams are completely parallel, yet, they looked converging to me. And they will look that way to you to.
Point being, again, that we are not equipped to actually detect parallelism on a scale much larger than our own size.

So, the OP question is refuting this fact by wrongly assuming that we can detect parallelism, only to point at another evidence that we can not detect it.
Maybe I am not explaining this intelligently. Imagine this: I post a question, how come I cannot see the microbe? Doesn't that mean that they do not exist? Look, all I see is nothing.. You'd tell me that I should not expect to be able to see them.
You get the point.

2 - People are already said it above but it deserves repeating. In the case of rays thru clouds, those rays still point to the sun! Extend them mentally and they all will end at where the sun obviously is (the brightest spot).
Now, why too close?
What the rays thru the clouds actually do is promote the illusion that the sun is "too low" or "too close" in our mind.
In this case, the root cause of the illusion is that we are not able to detect the parallel lines.
This has to be said: Those lines are close to parallel, but not parallel. There is a small angle. This small angle is unimportant to this question, because we wouldn't be able to detect it anyway. If the rays were somehow completely parallel, we would still see the same illusion of an angle. So, now we need to forget about the actual small angle and move on.
Being unable to detect parallelism, we introduce a convergent angle with our perception. Artists call this fake, introduced error "a perspective". This imaginary angle has no other solution than the sun being very close to earth, because that's what the real angle would be if the sun was actually close.
Point being that in this case, because our inability to detect parallelism, we imagine an angle that is not there, and that imaginary angle (bad input) is now being incorrectly solved by our brain as being a result of a much closer source.

 

[sophiecentaur]

We are physically unable to see the parallel lines as parallel on a large scale.

They say "seeing is believing" but that's nonsense. You learned a valuable lesson.