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I have a question on how the delta-V required to reach different orbits is determined. I refer to lift-off delta-V.

I'm curious to find the relationship between altitude and delta V required to get to the height.

From what I have found out, the lift-off delta v to a 100km altitude is in the range of about 1.4km/s for an ideal system. I would like to know how this is determined and how would it scale for something like a 150km altitude. (Apparently spaceshipone had a delta V of 1.7km/s to reach a 112km altitude).

It seems like the available information focus mainly on calculating orbital transfer Hohmann transfer delta-vs, and lift-off to orbit delta v (determined by gravity, mass and radius of the planet). The trouble is, while there are certain delta-v maps (e.g. 9.2 km/s from earth to LEO etc.. ), I haven't found any way to derive the figures at intermediate altitudes.

Would really appreciate any insight. Thank you for your time

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# Delta V as a Function of Altitude

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