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In this paper an analysis of the exponential deployment of a tether has been carried out taking into account the following assumptions: the orbiter is in a circular orbit; the Earth has a spherical gravitational potential; the tether is flexible, non-extensible, and the deployed mass is negligible compared with the mass of the orbiter. A phase-plane (θ, θ) has been considered and four steady solutions...
The deployment of a tether can be achieved by ejecting an end mass from the orbiter, and then controlling the tension of the tether from the reel. In this paper, an asymptotic analysis for small values of the non-dimensional parameter ε = (ρυ 2A T c ) has been carried out to obtain the basic equations governing the deployment of the tether (ρ = linear density of the tether; υ...
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