COOPER STATION
Open-source physics engine and engineering specs for a 32 km rotating space habitat. Real math, real materials, no handwaving.
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Station Config
Radius 4,000 m
Length 32,000 m
Target Gravity 9.81 m/s²
0.0495 rad/s
Angular Velocity (ω)
0.473 RPM
Rotation Rate
126.9 sec
Rotation Period
198.1 m/s
Rim Velocity
402 km²
Habitable Area
1,608 km³
Internal Volume
Cross Section
Gravity Zone Map
Gravity Profile
g vs Radius
Centripetal gravity scales linearly: g(r) = ω²r. A 50m building at the rim experiences ~1.25% gravity difference top-to-bottom.
Coriolis Simulator
Drop Trajectory
Drop Height 2.0 m
Deflection:
Atmosphere
Pressure & Density Profile
Pressure (kPa)
Density (kg/m³)
Rim/Axis ratio: ~1.26
Structural Analysis
Material Comparison — Hoop Stress Safety Factor
Hoop stress: σ = ρv² = 305 MPa (for steel at rim velocity). Safety factor 2.0 required for structural adequacy.
Mass Budget
Station Mass Breakdown
Human Experience
Weight by Zone
Your mass: kg
At Transit Level (0.5g) you could jump 2x higher.
At Assembly (0.125g) a person could lift 8x their Earth capacity.
Coriolis in Daily Life
Felt Effects by Activity
Walking spinward: feel ~1.5% lighter.
Walking anti-spinward: feel ~1.5% heavier.
Elevators must compensate for lateral force during radial transit.
ECLSS Life Support
Daily Resource Budget — 1,000,000 residents
56 km² of tropical forest equivalent needed for biological O₂ generation (~15 tonnes O₂/km²/day). Total atmospheric mass: . Water recycling must achieve 99.7% recovery rate to stay sustainable.
Scale Comparison
Cooper Station vs Earth References
Energy
Rotational Kinetic Energy
Reference
Key Equations
Centripetal gravity: g(r) = ω²r
Angular velocity: ω = √(g/R)
Coriolis accel: a = 2ωv
Hoop stress: σ = ρv²
Pressure gradient: P(r) = P₀·exp(ω²r²M/2RT)
Moment of inertia: I = ½mR²
Rim velocity: v = ωR
Weight variation: Δg/g = 2v/vrim