On the stability of the track of the space elevator |
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| Authors: | Nicola Pugno Michael Schwarzbart Alois Steindl Hans Troger |
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| Affiliation: | 1. Department of Structural Engineering, Politecnico di Torino, Torino, Italy;2. Institute of Mechanics and Mechatronics, Vienna University of Technology, Vienna, Austria;1. Department of Transfusion Medicine, Clinical Center, National Institutes of Health, Bethesda, Maryland, USA;2. Experimental Transplantation and Immunology Branch, National Cancer Institute, National Institutes of Health, Bethesda, Maryland, USA;1. City of Hope Comprehensive Cancer Center, Duarte, CA;2. Analysis Group Inc, Boston, MA;3. Novartis Pharmaceuticals Corporation, East Hanover, NJ;4. US Oncology Research, Comprehensive Cancer Centers of Nevada, Las Vegas, NV;1. Springs of Dreams Corporation, 340 East 1st Street, No. 8, Tustin, California 92781, United States of America;2. Tecnalia, Parque Tecnológico de San Sebastián, Mikeletegi Pasealekua 2, E-20009 Donostia-San Sebastián, Spain;1. NAV-Portugal, EPE, 1700-008 Lisbon, Portugal;2. Space Policy Institute, George Washington University, 1957 E Street NW, Suite 403, Washington DC 20052, USA;3. German Aerospace Center DLR, Institute of Aerospace Medicine, 51170 Cologne, Germany;4. European Space Policy Institute, A-1030 Vienna, Austria |
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| 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 assumption that a proper material (carbon nanotubes) is available, making the connection possible technologically, we address the question of existence and stability of the radial relative equilibrium of a tapered string on a circular geosynchronous trajectory around the Earth, reaching from the surface of the Earth far beyond the geostationary height. |
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