2009
DOI: 10.1016/j.actaastro.2008.10.005
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On the stability of the track of the space elevator

Abstract: A string moving with geostationary angular velocity in its radial relative equilibrium configuration around the Earth, reaching from the surface of the Earth far beyond the geostationary height, could be used as track for an Earth to space elevator. This is an old dream of mankind, originating about 100 years ago in Russia. Besides the question of feasibility from a technological point of view also the question concerning the stability of such a configuration has not yet been completely solved. Under the assum… Show more

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Cited by 26 publications
(5 citation statements)
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“…The tether is in equilibrium by the balance of centripetal and gravitational forces acting on it; the payload is then lifted to the desired altitude along the tether and, if synchronous orbit is reached, the payload could increase its altitude without further work required. A wide range of studies are available in the literature, investigating design, materials, tether oscillation and stability [10][11][12][13][14][15][16][17], mainly for Earth applications.…”
Section: Introductionmentioning
confidence: 99%
“…The tether is in equilibrium by the balance of centripetal and gravitational forces acting on it; the payload is then lifted to the desired altitude along the tether and, if synchronous orbit is reached, the payload could increase its altitude without further work required. A wide range of studies are available in the literature, investigating design, materials, tether oscillation and stability [10][11][12][13][14][15][16][17], mainly for Earth applications.…”
Section: Introductionmentioning
confidence: 99%
“…This instability is due to an orbital instability. Table 3 in [25]. Only for length ratios, where λ is positive, the second variation of (14) is positive definite.…”
Section: Wwwgamm-mitteilungenorgmentioning
confidence: 94%
“…It would seem likely that today's fictional yearnings for nanobots 326,367,368 and space elevators [369][370][371][372][373][374][375][376] for lifting us beyond the atmosphere may end up in realised states quite different from our imaginations. Ultra-strong cables made of long, woven CNT ropes may be more or less feasible [377][378][379][380][381] than new steels 382 or some as-yet undiscovered materials 383 for lofting payloads into low-earth orbit along a mechanical conveyor line from a high-altitude platform to a counter-weighted satellite without a conventional process of rocketing or flying. Various space elevator designs fancied and predicted by a number of futurists may fail for manifold reasons having no correlation with CNT-based mechanical strength limitations.…”
Section: Nanobots Elevators To Space and The Twenty-first Century Out...mentioning
confidence: 99%