I cannot help it if the simplest of explanations eludes you.
You want to continue to complicate your life by remaining in ignorance, have at it.
No. The simplest of explanations is quite obvious to us.
Earth is round and that is why these stars disappear below the horizon and have the apparent position they do.
However, this does seem to elude you, as does any other explanation as you are yet to provide one which actually works.
We can't really help you if you can't understand why pathetic attempts don't work.
A few little hitches with your perspective idea!
- Polaris is supposedly about 5,000 km above the North Pole. A bit of simple calculation will show that when you get to the equator, 10,000 km away, Polaris would still be almost 26° above the horizon, not on it as we know for a fact.
Translation - If I throw in these BS numbers they look cool, even though they do not mean a
_ _ _ _ _ _ _ thing.
No. These numbers do mean something quite important.
They are based upon how you calculate angles to objects.
It is simple trigonometry.
Construct a right angle triangle.
Start from the star (or object), and go straight down to Earth (technically stopping at the height of your eye level, not the height of the ground or sea level or whatever, but that difference is quite negligible for this calculation). This is one of the sides, with a length of
h (for height, not hypotenuse). Now, draw a line on your hypothetical flat Earth from that point to you (the observer) with a distance
d, which will be at a right angle to that first line. The angle you need to look up,
a, will be the angle between the line of length d, and the hypotenuse.
This can be calculated with simple trigonometry, by observing that the tangent of
a is equal to
h/d.
This is a key place the FEers get their height of 5000 km from.
It is well established that the distance between the north pole and the equator is 10 000 km (give or take a few km).
It is also well established that the distance between the equator and "45 degrees N" (using quotes because you don't believe it is real) is the same as the distance between "45 degrees N" and the "North Pole", and that the distance between any 2 points of latitude, at the same longitude is proportional to the difference in latitude, with roughly 111 km for each degree, which is why the FES and many other FEers chose an azimithual equidistant projection as that satisfies that criteria.This means the distance to the equator from "45 degrees north" is 5000 km, as is the distance from the "north pole" to "45 degrees north".
On the equinox, the sun is observed directly over the equator, and at 45 degrees north at the same longitude as the point on the equator it is directly overhead, it has an angle of elevation of 45 degrees, or
a=45deg. The same applies for Polaris, but it is directly over the north pole instead of the equator.
This allows us to easily find h.
tan(a)=h/d
tan(45deg)=h/5000 km
1=h/5000 km
5000 km=h.
This firmly establishes their height at 5000 km (But it breaks if you do it elsewhere as you get a different height).
You can then do the opposite to find the angle at other places (feel free to try this with various buildings, just note that if you go too far, you need to take the curve of Earth into account and possibly refraction).
Doing this at the "equator" you get:
tan(a)=h/d
tan(a)=5000 km/10000 km
tan(a)=0.5
a=atan(0.5)
a=26.565 degrees.So his math or memory was off. It should be slightly more than 26 degrees above the horizon.
Instead it is observed at 0 degrees.
Of course, you can use that to find the height of Polaris on your hypothetical flat Earth.
tan(a)=h/d
tan(0deg)=h/5000 km
0=h/5000 km
0=hSo Polaris has to be on Earth, and thus would be at an angle of 0 for everyone.
You can try and manipulate the numbers a bit to make it work for one point, but you break it for everywhere else.
For example, you could try 100 km, to make it 0.5 degrees at the equator.
But then at 45 degrees north it would only be 1 degree. So it simply doesn't work.
Perspective doesn't cut it.
And yes, that is exactly how perspective works, it is just instead of finding the angle
a as the angle of elevation, it finds it as the angular size, and it goes above and below your eye-line. Some will also extend it slightly by calculating what size object would have that angular size at a certain distance
So yes, those numbers mean quite a lot. It means the flat earth model is not capable of explaining the position of Polaris or numerous other celestial objects.
It means perspective simply doesn't explain it.
I say it does. Now its your turn to say, "I say it does not."
Guess what? Just saying it does does nothing for you.
Do the math to show it does, as people have done the math to show or otherwise explained why it doesn't.[/list]