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Calculating KEO in rescaled system


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Hello,

I apologize if there is a thread on this already, but I was wondering if anyone knew the math formula to determine KEO for a rescaled system. I figured I try to go for the dreaded math route instead of the trial and error method I usually do to figure something close to it. Thanks in advanced.

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Use the formula for the orbital period: https://en.wikipedia.org/wiki/Orbital_period#Small_body_orbiting_a_central_body

Specifically, the inverted one that solves for a.

Your "known value" for orbital period is the sidereal day length. If you rescaled that too, you can see the actual value ingame in the info window for the celestial body when in map mode.

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