How would one calculate the center of pressure in a model or actual rocket using exclusively equations?

Recently I have decided to set a challenge for myself, to reach orbit with a Saturn V rocket downsized 277.5 times. I will be making the entire rocket from scratch including motors. This means reaching 3772.966 feet with a 40 cm rocket. I could most probably do it, the main challenge however is working out the center of pressure compared to the center of gravity due to the heavy rockets i will be using. My current design seems fairly descent but after all, you are the experts in physics, (preferably rocket physics) so I will welcome all help that comes my way, particularly about working out the center of pressure of a rocket.

Casper Poutsma

submitted by /u/CapieMinionMaster
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