## Tension waves in tethered satellite cablesNational Aeronautics and Space Administration, Langley Research Center, 1984 - Artificial satellites - 24 pages |

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20 seconds A/pE ij(t actuator bursts of high combines a deployment control loop control system damping ratio denotes wave motion deployed length deployer mechanism deployer to form deployer to produce deployment rate command derivative with respect disturbance effective bandwidth Elastic Modulus equation 23 exponential function function which travels given in figure gravity gradient high frequency incident waves inert mass suspended kg/m Langley Research Center mass density NASA natural frequency Ns/m one-degree-of-freedom simulation one-dimensional wave equation oscillation in tension Performing Organization phase angle phase velocity possible vibration damping propagate r/s and damping rad/sec reflected waves Satellite System TSS sensed tension show a buildup simulation test spring constant steady state tension subsatellite end tension sensor tension wave emanating tether are related tether based tether dynamic model tether length TETHERED SATELLITE CABLES Tethered Satellite System transfer function transport delays traveling waves vibration damper vibration phenomenon waves of tension x_ z+ct