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EpicSpaceTroll139's post in Maximum cost of a constant thrust trajectory was marked as the answer
I was thinking of using an integral based on an infinite number of tiny hohman transfers to find the deltav, but I found this excerpt from Wikipedia:
"Going from one circular orbit to another by gradually changing the radius simply requires the same delta-v as the difference between the two speeds.[6] Such maneuver requires more delta-v than a 2-burn Hohmann transfer maneuver, but does so with continuous low thrust rather than the short applications of high thrust."
This makes sense, because as the number of loops increases without bound, the ∆v is expended closer and closer to the horizontal (resulting in less and less being spent fighting gravity), so its limit would be the difference between the initial velocity and the final velocity.
Update: I did the math
∆v required should be found by the following equation:
∆v = sqrt(μ/r0) - sqrt(μ/(rSOI))
μ = Kerbin's gravitational parameter = 3.5315984×10^12m³/s²
r0 = initial orbit radius (I'll assume 75km orbit so that's 600000 + 75000) = 675000m
rSOI = Kerbin's SOI radius = 84159271m
∆v = sqrt(3.5315984×10^12/675000) - sqrt(3.5315984×10^12/84159271) ≈ 2082.5m/s²
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EpicSpaceTroll139's post in How to mount and set up AIRBRAKES? was marked as the answer
It doesn't matter how you put it relative to the ground really. You just stick em on your craft with and they deploy outward. The only situation you would need to worry about the ground is if the airbrakes are longer than your gear, in which case you would want to avoid placing them on the bottom of your craft.
Since you are making a F9, your airbrakes will be at the top of the rocket, so this is irrelevant. If you want more realistic deployment, you will want the hinged round end to be facing down.
As for pitch/yaw function, that is entirely up to you and what you want out of your design. With those on, the airbrakes can be used as control surfaces, deploying differentially to incur assymetric drag, thus steering your craft.
This flying wing demonstrates how airbrakes can be used for steering. The principle can be applied to a rocket too.