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

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SUMMARY

The discussion centers on the optical phenomenon of sunlight appearing to radiate from a point in the sky when it breaks through clouds. Participants clarify that the rays are nearly parallel due to the vast distance of the Sun, approximately 150 million kilometers away. The perceived convergence of the rays is attributed to perspective and the lack of distance cues, rather than actual divergence. Additionally, the finite size of the Sun contributes to the fuzzy edges of shadows, creating a visual effect that can mislead observers.

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  • Familiarity with perspective and visual perception
  • Knowledge of atmospheric scattering and its effects on light
  • Awareness of the distance of celestial bodies, specifically the Sun
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Hobart
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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?
 
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Hobart said:
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?
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.
 
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Parallel straight lines, seen from an angle, appear to come together at a fixed point in the sky - in this case the fixed point is the Sun. Where else would you expect the rays to point to? You don't see their distance easily, but the rays are mainly pointing away from you as you look upwards.
 
jbriggs444 said:
The rays, if extended, would meet at the sun.
That simple statement would apply if the Sun were a simple point source. But every shadow from the sun has a fuzzy edge (penumbra) due to the finite size of the source. This gives a +_0.5° spread (= 1° total) which is visible and probably exaggerated / foreshortened by the viewing angle of the sunbeams.
 
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90px-Railroad-Tracks-Perspective.jpg

Perspective!
 

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Hobart said:
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?

Do you mean this?
glorious-380x250.jpg
 

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anorlunda said:
Do you mean this?
View attachment 223121
The way light beams appear is not intuitive and accounts for one of the groundless arguments that the Moon Landing Photos were faked.
 
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Hobart said:
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?

I noticed that too. My personal theory: These "beams" (actually light bounced off of moisture/dust in the air) have already been reflected one or more times before you see them. Thus, the beams may seem to radiate from Area A (brightly lit, top of the clouds) through Area B (Shadow zone beneath the clouds).

I remember watching an oil-painting tutorial with a professional painter who dicussed this, and how to use it to set the scene in an environment painting, but I can't find the video now, unfortunately.
 
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Shadow89 said:
I noticed that too. My personal theory: These "beams" (actually light bounced off of moisture/dust in the air) have already been reflected one or more times before you see them. Thus, the beams may seem to radiate from Area A (brightly lit, top of the clouds) through Area B (Shadow zone beneath the clouds).
Yep. I could believe that, too. The 'tunnel' between clouds can be very bright due to scattering.
 
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Shadow89 said:
I noticed that too. My personal theory: These "beams" (actually light bounced off of moisture/dust in the air) have already been reflected one or more times before you see them. Thus, the beams may seem to radiate from Area A (brightly lit, top of the clouds) through Area B (Shadow zone beneath the clouds).
What you see with your eyes is light scattered in the air, obviously, but the regions you see are straight lines directly from the Sun.
 
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  • #11
Shadow89 said:
I noticed that too. My personal theory: These "beams" (actually light bounced off of moisture/dust in the air) have already been reflected one or more times before you see them. Thus, the beams may seem to radiate from Area A (brightly lit, top of the clouds) through Area B (Shadow zone beneath the clouds).
Ok, but you realize based on the other explanations that this is wrong, right? Those rays are in fact nearly parallel. They are not bounced around, creating a new source.
What you see with your eyes is light scattered in the air...
I'm not sure what you mean by that, but it sounds pretty wrong; air (the atmosphere) is pretty transparent. There is minimal scattering.

[edit] Softened my adjectives. The scattering is quite a bit more than I realized: just a few percent for red, but 20% for violet.
http://www.skyandtelescope.com/astronomy-resources/transparency-and-atmospheric-extinction/
 
  • #12
russ_watters said:
; air (the atmosphere) is pretty transparent. There is minimal scattering.
If that were totally the case, you wouldn't see sunbeams 'side on'.
 
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  • #13
Try a picture where the sun is visible. They seem to converge on the sun to me..

https://goo.gl/images/VhEbVA

If you are asking why aren't they nearly parallel it's due to perspective as already mentioned. Railway lines are parallel but seem to converge due to perspective.
 
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  • #14
sophiecentaur said:
If that were totally the case, you wouldn't see sunbeams 'side on'.
What tiny fraction of a percent would that be, and what is your threshold for "minimal"?
 
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  • #15
The sun is extremely far as such the rays are parallel when they arrive on Earth and as such the wave front is planar,
The hole in the clouds acts as a gross point source that the rays emanate from.

As for the parallax cited by others... not really from the sun.
Parallax from the opening in the cloud... yes.
 
  • #16
pikpobedy said:
As for the parallax cited by others... not really from the sun.
Parallax from the opening in the cloud... yes.
In every picture I can find, the beams converge on the position of the sun, not on some hypothetical single hole in the clouds.
 
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  • #17
You know the sun is 150 million kilometers distant.
 
  • #18
pikpobedy said:
You know the sun is 150 million kilometers distant.
Yes. And the holes (plural) through which its beams peek are not.
 
  • #19
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  • #20
You can make the same rays or shadow converge or diverge simply by looking at them from different direction...

Cast-shadow-perspective-small.png
 

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  • #21
CWatters said:
You can make the same rays or shadow converge or diverge simply by looking at them from different direction...
You can sometimes see the rays converging to the anti-solar point. (The Sun is at your back when looking at a rainbow.)
DD5fb5kWAAA7zK3.jpg
 

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  • #22
pikpobedy said:
The sun is extremely far as such the rays are parallel when they arrive on earth
Yes
pikpobedy said:
The hole in the clouds acts as a gross point source that the rays emanate from.
No. The rays visible in the pictures are still parallel in 3D, just not in the 2D projection of the picture.
 
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  • #23
As to the question of how much on the incoming sunlight is diffused (molecular and particulate scattering of photons), the most reliable recent breakdown appears to be 23% absorbed by the atmosphere, 30% diffused by the atmosphere, and the remaining 47% transmitted by the atmosphere to the surface of the earth.
[K. E. Trenberth, J. T. Fasullo, and J. Kiehl; “Earth’s Global Energy Budget”; Journal of the American Meteorological Society, March 2009.]
 
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  • #26
Keith_McClary said:
...
They should look parallel when viewed from space. Has this ever been photographed?

From directly above they would, but not at an angle.

iss.crepuscular.w.wo.infinity.lines.png

original and my attempt to doodle lines that follow the shadows​
 

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  • #27
OmCheeto said:
From directly above they would, but not at an angle.

View attachment 223780
original and my attempt to doodle lines that follow the shadows​
1. What sort of lens was used for that picture? Wide angle, no doubt.
2. The picture was taken from only 400miles above and the Earth's curvature could account for the apparent different angles of shadows. Remember all the hoohaah about the shadows in pictures taken on the Moon and the suggestions that they had to be faked? The effect of the appearance of shadows is not intuitive.
The lines you sketched would pass through the anti solar point which is 150Mkm away and not just to one side of Earth.
 
  • #28
Keith_McClary said:
Sunbeams viewed from an airplane look almost parallel.
https://www.flickr.com/photos/stuckincustoms/20154632802/in/photostream/
They should look parallel when viewed from space. Has this ever been photographed?

To be clear, the degree to which they look parallel has nothing to do with what altitude you view them from - be it the ground, an airplane or the ISS.

It is entirely due to your viewing angle being normal (90 degrees) to the rays.

From the ground, at sunset, if you were to look at the zenith, you would see parallel rays.
From an airplane, if you were to look at the rays 90 degrees to their emanation, they would look parallel.
From an airplane, if you were to look at rays immediately around the sun, they would be just as divergent as seen from the ground.
And likewise from the ISS.

suns-rays.jpg


Fun fact:
Those rays in the left column are called crepuscular rays.
Those rays in the right column are called anti-crepuscular rays.
 

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  • #29
sophiecentaur said:
1. What sort of lens was used for that picture? Wide angle, no doubt.
I think it was just a standard lens.
If you'll note, the solar panels are straight.

With a wide angle lens, straight objects aligned with the periphery will curve:

wide.angle.lens.distortion.alexander.gerst.8.Sept.2014.png


2. The picture was taken from only 400miles above and the Earth's curvature could account for the apparent different angles of shadows. Remember all the hoohaah about the shadows in pictures taken on the Moon and the suggestions that they had to be faked? The effect of the appearance of shadows is not intuitive.
The lines you sketched would pass through the anti solar point which is 150Mkm away and not just to one side of Earth.

I don't think the curvature of the Earth has much effect in my first image.
I modeled the image of a view from the ISS, flattening what was visible, and came up with this:

earth.shadow.model.png


Looks very similar, in my imagination.
 

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  • #30
OmCheeto said:
Looks very similar, in my imagination.
How about for larger angles? I wasn't sure what your modelling was showing. This sort of geometry is hard to visualise. (Hence the Apollo misconceptions)

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.)
 

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