Aircraft Stability and Control by A. W. Babister

By A. W. Babister

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Relativistic effects. In the relativistic approximation [62] the change of tension yields δTB /TB ∼ v 2 /c2 ≈ 7 · 10−10 (lines 5), where v is the velocity of the orbital motion and c is the velocity of light. 6. Attraction of the cable by the satellite. The force of the gravitational attraction of the carrying satellite of mass mB and characteristic size 2rB on the cable can be estimated as F ≈ GmB ρ/rB . At typical values for the orbital plane mB ∼ 100 t, rB ∼ 10 m [65] the relation F/TB ∼ 10−9 is close to the level of relativistic perturbations.

4 Aerodynamic drag, solar radiation and impacts of micrometeorites 16. Aerodynamic resistance. 2 · 10−3 N (v0 is the orbital velocity). The aerodynamic force changes proportionally to the diameter of the cable (line 16) and increases quickly if the height of flight decreases. For a tethered atmospheric probe the influence of aerodynamics becomes decisive. 17. Light pressure. The force of light pressure depends on the angle of the cable to the solar rays and on the reflecting ability of the cable.

For a tethered atmospheric probe the influence of aerodynamics becomes decisive. 17. Light pressure. The force of light pressure depends on the angle of the cable to the solar rays and on the reflecting ability of the cable. 5 · 10−6 N m−2 is the light pressure on an orbit around the Earth [46]. 2 · 10−4 N. 18. Heating of the cable by solar radiation. A much more essential influence Tethered Systems in Space: A Short Introduction 13 of solar radiation results in heating of the cable. From the data [84] follows that the extrema of thermal-mechanical loadings occur at those instances when the cable enters and leaves the shadow of the Earth, that is, when the periods of heating or cooling of the cable are reversed.

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