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Pressure that the carbon sphere can withstand For carbon tensile strength = 70 t/cm2 (expensive)
Radius m
Wall thickness mm
Volume: 310.18 m3
Surface area: 221.56 m2
Perimeter: 26.38 m
Dry mass: 3.99 t
Max pressure: 645.08 atm
Kerosene + supercritical O2 (1:3) mass (250atm): 372.22 t
Liquid methane + O2(1:4) mass (250atm): 313.28 t
Liquid hydrogen + O2(1:8) mass (250atm): 161.29 t

Acceleration , distance > speed, time
Acceleration m/s2
Distance m
Speed: 500 m/s
Time : 1 s

Energy (kW*h) required to get to desired speed for given mass
Mass t
Speed m/s
Energy: 88.88 MW*h

Cargo and Fuel mass > speed(100% efficiency at any speed, no air drag)
Cargo t
Fuel t
Energy (kerosene + O2): 1274.03 MW*h
Energy (methane + O2): 988.42 MW*h
Energy (hydrogen + O2): 1185.14 MW*h
Speed (kerosene + O2): 10908.96 m/s
Speed (methane + O2): 11095.11 m/s
Speed (hydrogen + O2): 12149.22 m/s

Oxygen consumption
Crew people
Time years
Oxygen volume (100 atm): 108.00 m3
Oxygen mass: 15.44 t

Energy required to lift mass to altitude
Mass t
Altitude km
Energy: 204.11 MW*h

Artificial gravity
Radius m
Revolutions per second
Centrifugal acceleration: 9.33 m/s2

Sphere free fall velocity
Radius m
Mass t
Speed: 51.52 m/s