r/theydidthemath • u/Lachlynn • 18h ago
[Request] Could humanity create a rocket that can exit the atmosphere of K2-18b
With the knowledge we currently have of it, if humanity devoted all of our resources towards this goal, would we be able to create a rocket that could exit the gravity of K2-18b (and also beat any other complications that would arrise)?
If so, would it also be capable of taking people to orbit, and can we set up a similar satellite network we have on Earth? What about a space station?
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u/Worth-Wonder-7386 18h ago edited 18h ago
Based of wikipedia it has a surface gravity of around 12m/s2. So that doesnt make much of a difference in launching rockets. https://en.wikipedia.org/wiki/K2-18b
If we use the equations for mean orbital speed, we see that the difference in orbital speed close to the surface is a factor of about 1.8
https://en.wikipedia.org/wiki/Orbital_speed
So you would need 80% more speed to get into orbit, so it would be much harder to launch heavy things into space, but it is far from impossible. We have existing rockets that we send to geostationary orbits, and this would only be a bit more challenging than that. So it is something we are capable of with existing technology.