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Konecny Space Station

Last modified by
on
Jan 30, 2023, 8:49:20 PM
Created by
on
Jan 24, 2023, 1:18:31 PM
geff=|Ω2r-GMpr2|
(Mp)Planetary Mass
(M1)Mass of Lower Station
(M2)Mass of Upper Station
(r1)Radius of Lower Station Orbit
(r2)Radius of Upper Station Orbit
R_p
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Effective g:
Orbital period:
Rotations per day:
Cable tension:
Zero gravity point:
Center of mass point:
Distance of lower station to zero g point:
Distance of upper station to zero g point:
Altitude of station 1:
Altitude of station 2:
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UUID
990eccbc-9be9-11ed-8f09-bc764e203090

The Konecny space station concept envisions a pair of tethered space stations at different orbital distances from the center of the Earth.  Because of the tether, the lower station orbits more slowly than an untethered station will, and the upper station more rapidly.  Both lead to a net "artificial" gravity that people on the station experience, due to the imbalance of "centrifugal" with gravitational force.  

Inputs:

  • Mp: Planetary mass (default: Earth mass)
  • r1: Radius (distance from center of planet) of lower station
  • r2: Radius of upper station'
  • m1: Mass of lower station
  • m2: Mass of upper station

Outputs:

  • geff: Effective acceleration of gravity on each station
  • Tc: cable tension
  • P: Orbital period - time for one complete revolution
  • N: Number of rotations per day
  • rg: Zero gravity point
  • d1: Distance of lower station from zero gravity point
  • d2: Distance of upper station from zero gravity point

One thing to note: the center of mass is not the same as the zero gravity point of the two stations, which is the point where a satellite placed in orbit will orbit with the same period as the upper and lower stations, and where people will be effectively weightless.


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on
Jan 31, 2023 02:13 PM
Nice work. Thanks for being a technical resource to the vCalc community.

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