My formula is = eyes>physics

I wish I had WiFi, to view the gifs...

8 in/mile ^2

https://www.youtube.com/watch?v=dmJ7-hVeNPY

Hey i just saw a video on youtube and i really liked the idea of the earth being flat. I think i knew it the whole time but never thougth it could be real. We must spread the word on that!!!

Most people throughout history knew it was flat. the spinning ball is a fairly recent concept

@Flatty from Cincinnati No actually, I derived the formula myself, but the people in discord are just taking nasa's word for how much the horizon should curve without even using a formula

@curious guy How did you derive your formula / what parameters and values did you use if I may ask.

I did not use values, I used variables, R is the radius of the Earth, h is the height, u is the horizontal angle of view, I made a model showing which part of the Earth would be visible from a height h, the angular size from "eye level" to a certain point on the horizon is used to find how much the horizon should curve

This is for distance

I'm talking about how curved the horizon will look

Also, for the image you showed, it's probably better to use the curved distance for d1 and d2 for more accurate results

The formula doesn't become too complicated either

So what results did you get? How curved should the horizon be viewed at an angle of almost 0° ?

Almost 0°? Are you looking through a tiny slit?

Also you'd need to give me a value for the height

The angle is extremely small as the horizon line is far away / is set by the distance you are able to look

As for size lets assume 180cm

Are you talking about horizontal angle or vertical angle?

The vertical angle will be found out by the formula

The horizontal angle should be given

So you should tell me how wide your vision is, in degrees

Ok I'll give you an example

Could you send a small sketch?

At a height of 50km, if you take a picture with a 40° horizontal angle of view, the maximum angle that the horizon drops due to the way it's curved is 0.434°, which is about the angular size of the moon, meaning at the very edge of your picture there could be the moon sitting between the space where a flat horizon would be and where a curved horizon is

I'll send you a model

Or rather just a screenshot of one

Unless you have 3D calculator

Ok thx and do you also have a picture that proves the model?

hi

Eh well it's literally showing the POV of a point above a sphere

The horizon is a blue circle

You'll see, rn I'm adjusting it a little so it doesn't look too messy

ok guys convince me

Look around you what do you see