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I'm working on a problem where I had to find the ∆V's at the aphelion and perihelion for a Hohmann transfer, which I did. However, I am being asked to prove how for the total ∆V for the transfer has a maximum R_{1}/R_{0}= 15.6 (R_{0}is the radius of the original circular orbit and R_{1}is the radius of the second circular orbit after the two boosts). I want to know how to obtain the value 15.6.

I was going to take a derivative of the equation, set it equal to 0, and solve for the maximum that way...but I'm thinking this is wrong...Any suggestions?

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# Hohmann Transfer: Maximum Radii Ratio

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