Long story short, this is my first post into a new and marvelous idea.

(drumroll)

Here it is: I’m going to also start posting things that can be summed up easily in a picture/graph – and as such don’t require a story behind them to make sense.

I plotted the below by using the formula Hd = 3.57√Ee (Hd = horizon distance; Ee = eye elevation), and made the horizontal axis logarithmic for two reasons:

- it reads better
- it looks cool

In real life, we should compensate for errors brought upon by atmospheric refraction, and we should also consider that past a certain point the concept of horizon serves no purpose.

But in ideal terms, if you were at an altitude of 1000 kilometers, your horizon would be 3570 kilometers away.

**Later edit:** as luck would have it, someone did the math on this after looking it over. Since my thing is nowhere near an educated approach, I asked if I could copy the input as an addendum.

Here it is:

The concept of a horizon is always valid, it just approaches 1/4 of the circumference of Earth. Atmospheric refraction: Yes, let’s ignore that.

For a spherical Earth, the exact formula is range = R arccos(R/(h+R)) where R is the radius of Earth and h is the height. Plugging in h=1000km, we get a range of 3357 km, while your approximation suggests 3570 km. An error of 6%, I guess that is still acceptable.