Use 2 stages for Earth to LEO and a single stage for LEO to lunar orbit. Assume
Question:
Use 2 stages for Earth to LEO and a single stage for LEO to lunar orbit. Assume ΔU=7,600 m/s
for Earth to LEO and ΔU=3,900 m/s for LEO to Lunar orbit. Estimate the delta-U and altitude at staging. Select the Ae/A* for each stage using figure 11.3 for guidance. Select the liquid propellants for each stage and run CEA. Here's the website. https://cearun.grc.nasa.gov/ Use this to determine the throat area. Find the density of your propellants and determine the size of the propellant tanks. Find the diameter and length of your rocket, for now neglect the volume of the structure and engines. Use a 9 degree half angle for the nozzle cone. Assume the density of your payload is 600 kg/m^3 and can be packaged into any shape. Submit your results using the table provided. Here's figure 11.3 that's referenced. The fuel for each stage is liquid CH4 and the oxidizer is liquid O2 for all 3 stages. Decide initial masses ( Structural, engine, propellant, etc).
Heres the table that needs to be filled. Use to determine values to calculate.