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Revision 4 as of 2017-04-03 08:15:14
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 . assume CD*A = 1 m², drag force = ρ*CD*A*V²   . assume CD*A = 1 m², drag force = ρ*CD*A*V²
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Summary

MoreLater

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

Altitude (km)

Velocity (m/s)

Time (sec)

Drag Force

Power

<- Force

Regime

Start

End

Avg.

Start

End

Avg.

Start

End

Avg.

Start

End

Avg.

Start

End

Avg.

Start

End

Avg.

Jerk

Accel

Summary (last edited 2017-04-03 08:16:13 by KeithLofstrom)