Dear everyone**, dude we got a ton of mathematics to get through this post.**
We got to get through angular sizes, surface temperatures, Stefan-Boltzmann constant, solar constant, solar luminosity, albedo and lots of physics, but we always take too much time doing these introductions and today, it's time to rock [no pun intended]! Hi, it is me. And we are here for one thing Roblox Corporation. We have come for Roblox's best. We have come to prove conclusively once and for all that Roblox the planet makes no freaking sense and the Robloxians who live here should be dead! Well maybe, or maybe not. Maybe Roblox is fine. But in order to find out, we are going to have to get this post started with the question. We asked ourself- the thing that set us down this wily, twisting rabbit hole of chaos and SCIENCE. Is ROBLOX habitable?
But first, a set of assumptions that we will be making:
- Assuming that the Roblox Sun is like the Sun.
- Assuming that the Roblox Planet is like Earth.
- Assuming that the Roblox Moon is like the Moon.
Open up ROBLOX Studio. Choose the Baseplate template. Expand on Lightning. Now click on Sky. There will be two values: The MoonAngularSize and The SunAngularSize. Both of those angular sizes default to 11. According to the Roblox Sky API Reference, those are the perceived angular sizes of the two celestial objects while using this skybox, in degrees. This implies that the moon and the sun are roughly the same size in ROBLOX.
We will be referring to this angular size formula a lot in this heading, so take note: Angular size is 2 tan^(-1)((L)/(2×D)), where L is the diameter of our object and D is the distance to that object.
However, this is not true in Earth. The Earth's Moon Angular Size is: 2 tan^(-1)((2159.1 miles)/(2×3.85×108 meters)) = 0.5171 degrees and the sun's: 2 tan^(-1)([432300 miles]/(2 [1 astronomical unit])) = 0.5329 degrees. So one can say that Roblox's Moon looks 21.27 times bigger than Earth's moon and Roblox's Sun looks 20.64 times bigger than Earth's sun.
Why do we need angular sizes of the two celestial bodies? Enter Part 2, where we talk about the distance.
Solving for D in A=2 tan^(-1)((L)/(2×D)) gives us a formula of distance to the object given its diameter and angular size., which is D=1/2 L cot(A/2). Plugging in Earth's moon diameter and Roblox's moon angular radius gives us a surprisingly close distance of 11,212 miles, which is 21.34 times closer than Earth's moon and 2.8 times the radius of Roblox itself! Plugging in Earth's sun diameter and Roblox's sun angular radius gives us a surprisingly close distance of 4.49 million miles, which is 20.7 times closer than Earth's sun and 10 times the radius of the Roblox sun!
Why do we need distances? Enter Part 3, where we discuss the consequences and implications.
First, lets talk about surface temperatures that would be experienced by Robloxians. A planet's temperature is determined by this formula.
Figure 1: Surface Temperature
Where K_s is the solar constant , σ is the Stefan-Boltzmann constant, which can be computed exactly as (π2 k4)/(60 c2 ℏ3), where (k: Boltzmann constant; ℏ: reduced Planck constant; c: speed of light), and T is the temperature of the surface in Kelvins. The Stefan Boltzmann Constant is 5.67×10-8 W/(m2 K4). Let's first compute the solar constant using this formula:
Figure 2: Solar Constant
Where K_s is the solar constant, L is the solar luminosity, and r is the distance from the star to the planet. Plugging in 3.848×1026 watts for L and 4.49 million miles for r gives us a killer solar constant: 586,558 W/m2!
Plugging in Earth's albedo at 0.29 gives us the surface temperature of Roblox...
AH THAT'S HOT
...at 1,164.08 Kelvins, 890.93 Celsius, or 1635.7 Fahrenheit. In other words, Roblox is as hot as a large log fire! This is about 1,423.7 degrees Fahrenheit above the boiling point of water, which surprisingly appears in ROBLOX as a liquid and a solid. If this were true, ROBLOX water areas would have evaporated into water vapor. At least the average metal melts at 1,078 degrees Celsius, which would imply in Roblox, only metals would survive in their solid state of matter. The melting point of salt ( specifically, Sodium Chloride ) is 801 degrees Celsius, which would mean all places with the Salt material would have turned into liquid lakes of sodium chloride, which is surprising considering that Roblox salt appears to be in its solid state of matter. Limestone (specifically, Calcium Carbonate ) is another material in Roblox that would retain its solid form, at a melting point of 1,340 degrees Celsius.
Light from the Roblox Sun would take approximately 24.1 seconds to travel to Roblox and an additional 60 milliseconds to travel to the Roblox Moon. A year in Roblox would only last 3.877 days, and Roblox would be orbiting the Roblox Sun at 135.55 km/s! The Roblox Moon would revolve around Roblox once every 6.661 hours, and it would be orbiting Roblox at 4.728 km/s.
Overall, this sounds grim, so we ask ourselves: Is it possible to bring this down to 263 Kelvin ( -10 degrees Celsius or 14 degrees Fahrenheit ), so that Earth's normal greenhouse effect warms this up to a comfortable temperature?
(Reducing the luminosity of our Roblox Sun ):
If the Roblox Sun was reduced in luminosity to 1024 watts, Roblox will be habitable. For comparison, this would make the Roblox Sun ten times brighter than a white dwarf.
(Changing the angular size of Roblox Sun):
Changing the angular size to 0.56351074368 degrees would make Roblox habitable. For comparison, this would make it appear 5.7% larger than the Roblox Sun.
(Changing the albedo of Roblox ):
The albedo will have to be 0.998148 if Roblox is to be habitable.
TL:DR:
Roblox is uninhabitable as is.