I guess I was unclear. Yes, of course rail length is super important in developing exit speed. The longer the rail the better the speed, so a longer rail is needed when there is lower initial thrust.I disagree, Rail length is VERY important for exit velocity. A longer rail allows a longer time to accelerate while guided therefore obtaining a higher exit velocity.
The original question was what exit speed is needed (and the discussion veered into the question of T:W). The answer is most often considered to be (I gather from this thread) 45 fps, so lets go with that. If you have 45 fps and the end of a three foot rod, at the end of a six foot rail, or at the end of an eight foot rail, it's the speed that matters, not the length.
Oops, ninjad.The OP asked about rail exit velocity, not how to get there. Rail length might determine that value for a given rocket/motor combo, but it doesn't matter to the OPs question. 45 fps off an 8ft rail is no different from 45 fps off a 6ft rail from a safety perspective.
The Galejs paper was a revelation for me. I spent years wondering why 1 caliber is some sort of magic number. I mean, anything over zero means the lift-induced torque is in the right direction, and of course you want something more than a tiny margin due to inevitable inaccuracies in calculations, but why 1? When a ratio of this to that is important, and you learn that 1 is an important figure, i.e. this equals that, there's usually some underlying reason. So I asked around. I asked here. I asked Tim the Rocket Man van Milligan. I asked some other places, and no one had an answer. Finally I ran across the Galejs paper and received enlightenment. I was so pleased that I wrote to Tim to suggest that he reprint the paper in Peak of Flight, and gave him Galejs's contact information; lo and behold, there it is, in issue #470.Good to know. I had calibers stuck in my head based on this figure which Dahlquist published. He wasn't the MIT guy, that was Galejs and I honestly haven't read his report...BUSTED
And, ironically, there is no fundamental underlying reason, it's just a good empirical rule of thumb that happens to be 1.0.
I don't think we are talking about the same thing. You're not wrong about the moment of inertia, but I'm talking about the movement of the CP forward with increasing angle of attack. The effect of body lift increases, the CP moves forward, and it can move past the CG. And the movement is more or less proportional to the length (and other factors) not the diameter, so we need more diameters of margin when there's more length to assure the CP stays behind the CG, where it belongs.I think we’re talking about the same thing. You need a greater static margin with long skinny rockets is because the greater moment of angular momentum reduces the ability of lift to quickly restore the course of a rocket.