Thanks for remembering, but that's for the Saturn-IB. Very different from the SA-5.
Have you ever tried to calculate a CP for a rocket as complicated as a Saturn-I? Because it is so complicated, and your answer seems to imply it is "easy", that your answer does come off as partly smart-*** for that reason.
I only know what the "Stable" CG location is for a Little Joe-II, not from fancy calculations, or even rule of thumb methods that don't like complex rockets either. I know the stable CG location thanks to a couple of unstable flights from when the CG was below the location of the "N" in the lettering UNITED STATES. The Saturn-IB is also a notorious "stable one flight, unstable the next" vehicle, if the CG is marginal. The known-to-be-stable CG location I list for that (in the drawing of mine mentioned above) is thanks to Jay Marsh, who found out the hard way that it was not stable (reliably) when the CG was more to the rear of the known to be stable location.
- George Gassaway