The Mathematical Blueprint and Structural Compendium for a Medieval Hand‑Cranked Wooden Catapult Capable of Launching Lunar‑Bound Rockets

This upload presents a complete Carlo hybrid research treatise and engineering compendium detailing the theoretical design of a medieval hand‑cranked wooden catapult capable of imparting escape‑velocity kinetic energy to a lunar‑bound payload. Using only period‑accurate materials—timber, rope, iron, stone—and human‑powered crank systems, the work derives the full physical, geometric, and structural requirements for a siege engine intended to accelerate a 100‑kg projectile to escape velocity. Central to the analysis is the core launch equation: \[\frac{1}{2} m_{\text{payload}} v^2 = E_{\text{required}} \approx 6.25 \times 10^9 \ \text{J}\] which demands a tangential launch velocity of: \[v \approx 11{,}186 \ \text{m/s}\] The treatise rigorously computes the necessary counterweight mass (≈1,000,000 kg), tower height (≈637 m), arm length (≈50 m), angular velocity (≈224 rad/s), centripetal acceleration (≈2.55 × 10^5 g), timber section modulus, rope tensile area, and gear‑train mechanical advantage required to store and deliver ~6.25 GJ of gravitational potential energy. The accompanying compendium includes ASCII engineering diagrams, parameter summaries, glossary terms, and a conceptual overview of the “Momentum Cathedral,” the cathedral‑scale wooden megastructure required to raise and release the counterweight. Together, these documents form a straight‑faced yet playful exploration of medieval materials pushed to their theoretical limits, demonstrating how a genius of the Omran/Galilean era—armed with modern mathematical insight but ancient tools—might attempt to design a lunar‑launching siege engine. This upload features an interactive 3D visualizer and mathematical compendium built with Three.js and KaTeX, designed to model the extreme structural dynamics of a lunar catapult framework. The accompanying simulation dynamically calculates key physical parameters including escape velocity energy budgets, counterweight tower sizing, human power charging intervals, and centrifugal acceleration under high-g stress. It also includes an interactive failure mode that simulates catastrophic structural collapse under simulated loads, pairing rigorous theoretical calculations with a fully responsive web interface. Keywords & Subjects:medieval engineering; siege engine physics; gravitational energy storage; escape velocity mechanics; trebuchet dynamics; hand‑crank power systems; wooden megastructures; timber stress analysis; rope tensile modelling; rotational launch mechanics; centripetal acceleration; orbital mechanics; pre‑industrial materials science; catapult arm geometry; counterweight optimisation; gear‑train mechanical advantage; Omran/Galilean engineering; historical physics; theoretical megastructure design; lunar launch concepts; gravitational potential energy; structural section modulus; medieval crank halls; ASCII engineering diagrams; Carlo hybrid methodology; extreme mechanical scaling; momentum cathedral architecture; lunar‑bound projectile modelling; high‑velocity launch systems; wooden catapult blueprint; gigajoule‑scale energy systems. Author’s Note:Surprised nobody’s tried this already tbh. I’ve been wanting to give this catapult a go for years. -strap me in Evel Knievel style -Matt Contact: For enquiries or research questions related to this work, email [email protected]