Summary
Earth
- 6378 km Earth Equatorial Radius
- 398600.44 km³/s² gravitational parameter
- 86164.09 second rotation period
- 7.2921e-5 radians per second
Loop acceleration track
- 5° south
- 100 km launch track height
- 70 km return track height
- 14 km/s surface-relative rotor speed at altitude
- 3 kg/m rotor mass density
- 6353 km surface rotational radius at 5°S, 463.3 m/s rotational velocity
- 6453 km launch track rotational radius, 470.6 m/s rotational velocity, 9.499 m/s² gee force
- 6423 km return track rotational radius, 468.4 m/s rotational velocity, 9.587 m/s² gee force
Forward track at 100 km
- 14000.0 m/s surface relative rotor speed
- 14470.6 m/s inertial frame rotor speed
- rotor density 3.0000 kg/m
- deflection force 588.0 MN per slope fraction, 10.26 MN per degree
- 32.45 m/s² rotor centrifugal acceleration
- 3.4 centifugal-to-gravity ratio
- 2.4 track to rotor "weight" ratio, including stabilization cables
- 7.2 kg/m track mass plus stabilization cable mass+tension
- note: cables descend towards 9.8 m/s² surface gravity
- Std. Atmosphere pressure 5.2209 Pa, density 8.2829e-5 kg/m³, temperature 219.6K -53.6 ℃
Return track at 70 km
- 14020.3 m/s surface relative rotor speed (faster due to 30 km descent)
- rotor density 2.9957 kg/m ("Bernoulli stretch" for constant mass flow rate relative to surface)
- deflection force 588.9 MN per slope fraction, 10.28 MN per degree
- 13551.9 m/s inertial frame rotor speed
- 28.59 m/s² rotor centrifugal acceleration
- 3.0 centifugal-to-gravity ratio
- 2.0 track to rotor "weight" ratio, including stabilization cables
- 6.0 kg/m track mass plus stabilization cable mass+tension
- Std. Atmosphere pressure 3.201e-2 Pa, density 5.604e-7 kg/m³, temperature 195.1K -78.07 ℃
West Station Supported by Return Track at 70 km
- incline slope 0.18
- deflection force 106 MN
West Station Acoustic elevators
- 40 MN (WAG) available for acoustic elevators
- 80 km (WAG) filled Kevlar support length
- 2.4 (WAG) taper ratio over 70 km
- 6000 kg climbers + payloadCD*A
- assume CD*A = 1 m², drag force = ρ*CD*A*V²
Climb |
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Velocity (m/s) |
Time (sec) |
Drag Force |
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