I am working with a university bunch of other university students on building a very large amateur rocket. Our objective with this rocket is just to go very high, with no significant payload or flight ceiling to consider. We obviously must recover the rocket within the range.
Conventional logic would indicate that launching straight up would be the optimal strategy to achieve our desired apogee, but due to range safety, there must be a minimum launch angle off of the launch rail. Our vehicle will feature fins and spin tabs for stability.
What I am trying to do is analyze the flight dynamics of our Rocket and make sure it won't kill us, will stay within the range, and attain its design altitude.
In my mind, as long as the cp is a couple of rocket body diameters below the cg, the rocket will try to restore itself to a 0deg alpha very aggressively. Add in a spin, and there should be an appreciable measure of stability while in motion. Because of this, I believe it should be accurate enough to state the rocket will follow its velocity vector once at appreciable velocity. If I am wrong, what do I need to do to analyze stability during this phase?
The trickier part for me is analyzing stability off of the rail, at ""Low"" velocities, since the stability off of the rail will largely determine how successful we are at staying on range, and achieving altitude. What analysis is necessary to determine stability here? I know potential sources of torques (external plumbing, launch lugs, fins), but I am unsure of if these are useful and how to proceed.
Thanks, any help would be greatly appreciated.