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So I play this game called Kerbal Space Program, and I've recently been trying to calculate the delta v needed to launch my rockets and spaceships from all the planets and moons in the game. I learned how to calculate the orbital velocity needed to maintain a stable orbit around a body, and how much delta v I need to add my vehicle to account for atmospheric and gravitational drag. I could just use those equations for bodies with atmospheres because I know that scale heights of the atmospheres, so I can guess at what height my orbit will need to be. However for planets without atmospheres, I can't guess at what the height will be for the orbital velocity needed. So my question is how do I calculate the orbital height from my velocity? I should also mention that this is for a circular orbit.

As I mentioned above, I'm not sure if this is astrophysics, if it isn't could you please tell me what it is?

Thanks for your help :)