How is the solar system alive?!
I got curious about the relative size of planets to the solar system, so I decided to do the math and find out the sizes and distances in the Factorio solar system using actual data from the game.
So here we go:
Game surfaces has an area of 2,000,000 by 2,000,000 tiles, and we're trying to get the radius of a sphere with the same surface area as our surface, meaning 2,000,000^(2) or 4x10^(12).
The area of a sphere is 4πr^(2), so our equation is 4πr^(2) = 4x10^(12) and we can solve for the radius:
- Divide both sides by 4 and we get πr^(2) = 10^(12)
- Divide both sides by π and we have r^(2) = (10^(12))/π or r^(2)≈ (10^(12))/3.14159 ≈ 3.183x10^(11)
- Taking the square root of both sides, r ≈ sqrt(3.183×10^(11)) gives us about ~564,000 meters.
Now that we have the radius, we automatically know the diameter of our planet (game surface) to be double that (~1,128,000 meters or ~1,128 Km)
Now my question is, how is this possible? I'm no physicist but I'm pretty sure the inner planets should've crashed into each other in this configuration long ago....
