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'''Q.''' If the sun is disappearing to perspective, shouldn't it slow down as it approaches the horizon?
  
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'''A.''' The sun moves constant speed into the horizon at sunset because it is at such a height that already beyond the apex of perspective lines. It has maximized the possible broadness of the lines of perspective in relation to the earth. It is intersecting the earth at a very broad angle.
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It's widely observable that overhead receding bodies move at a more constant pace into the horizon the higher they are. For an example imagine that someone is flying a plane into the distance at an illegal altitude of 300 feet. He seems to zoom by pretty fast when he is flies over your head, only slowing down when he is off in the far distance.
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Now consider what happens when a plane flies over your head at 45,000 feet at the same speed. At that altitude a plane appears to move very slowly across the sky, despite that the plane is moving at the same speed. With greater altitude the plane seems to move more ''consistently'' across the sky. It does not zoom by overhead, only seeming to slow when in the far distance.
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When a body increases its altitude it broadens its perspective lines in relation to the earth and the observer, and thus appears to move slower and at a more constant pace into the horizon. In FET the stars and celestial bodies are at such a great height that they have maximized the perspective lines. They are descending into the horizon at a consistent or near consistent velocity. As consequence they do not slow down in the distance by any significant degree, and hence the stars do not appear to change configuration and build up in the distance, nor does the sun or moon appear to slow as they approach the horizon.
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[[File:Perspective_speed.png|alt=The higher the angle, the more constant the body's descent will be to the observer.|center|800px]]
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The rate of descent of two bodies at different altitudes is more constant because it take a lot longer for a high altitude body to reach the horizon than it does for a low altitude body. The higher a body is, the broader its perspective lines, the longer, and with more consistency, it will appear to approach the horizon to the observer.
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==Further Reference==
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For an animated version of essentially the same description above see the following video by P-Brane:
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{{#ev:youtube|https://www.youtube.com/watch?v=cdkOAYndUFs}}
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([https://wiki.tfes.org/images/4/48/Why_the_Sun_Doesn%27t_Speed_up_Overhead.mp4 Archive])
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==See also:==
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'''[[Sunrise and Sunset]]''' - Sunrise and Sunset Main Page
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:*'''[[The Setting of the Sun as a Perspective Effect]]''' describes the traditional interpretation of sunsets as originally described by [[Samuel Rowbotham]]
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::*'''[[Constant Speed of the Sun]]''' describes how the sun maintains it's rate across the sky with the perspective explanation
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:*'''[[Magnification of the Sun at Sunset]]''' describes why the Sun does not shrink as it recedes
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:*The '''[[Equinox]]''' page describes why the Sun rises and sets from a generally Eastward and Westward direction
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[[Category:Sun]]

Latest revision as of 17:22, 15 October 2022

Q. If the sun is disappearing to perspective, shouldn't it slow down as it approaches the horizon?

A. The sun moves constant speed into the horizon at sunset because it is at such a height that already beyond the apex of perspective lines. It has maximized the possible broadness of the lines of perspective in relation to the earth. It is intersecting the earth at a very broad angle.

It's widely observable that overhead receding bodies move at a more constant pace into the horizon the higher they are. For an example imagine that someone is flying a plane into the distance at an illegal altitude of 300 feet. He seems to zoom by pretty fast when he is flies over your head, only slowing down when he is off in the far distance.

Now consider what happens when a plane flies over your head at 45,000 feet at the same speed. At that altitude a plane appears to move very slowly across the sky, despite that the plane is moving at the same speed. With greater altitude the plane seems to move more consistently across the sky. It does not zoom by overhead, only seeming to slow when in the far distance.

When a body increases its altitude it broadens its perspective lines in relation to the earth and the observer, and thus appears to move slower and at a more constant pace into the horizon. In FET the stars and celestial bodies are at such a great height that they have maximized the perspective lines. They are descending into the horizon at a consistent or near consistent velocity. As consequence they do not slow down in the distance by any significant degree, and hence the stars do not appear to change configuration and build up in the distance, nor does the sun or moon appear to slow as they approach the horizon.

The higher the angle, the more constant the body's descent will be to the observer.

The rate of descent of two bodies at different altitudes is more constant because it take a lot longer for a high altitude body to reach the horizon than it does for a low altitude body. The higher a body is, the broader its perspective lines, the longer, and with more consistency, it will appear to approach the horizon to the observer.

Further Reference

For an animated version of essentially the same description above see the following video by P-Brane:

(Archive)

See also:

Sunrise and Sunset - Sunrise and Sunset Main Page