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Chaotic motion of the elastic tether system
- Authors: Aslanov V.S.1, Pirozhenko A.V.2, Ivanov B.V.1, Ledkov A.S.1
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Affiliations:
- Samara State Aerospace University
- Institute of Technical Mechanics National Academy of Science of Ukraine & National Space Agency of Ukraine
- Issue: Vol 8, No 4 (2009)
- Pages: 9-15
- Section: AIRCRAFT AND SPACE ROCKET ENGINEERING
- URL: https://journals.ssau.ru/vestnik/article/view/829
- DOI: https://doi.org/10.18287/2541-7533-2009-0-4(20)-9-15
- ID: 829
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Abstract
The motion of the elastic tether system around of its center of mass is considered. The tether system consist of two tip bodies and a weightless elastic tether. The tether is in deployed state. Center of mass of system move along an elliptical trajectory. With the help of Lagrange’s equations of the second kind the equations of motion of the elastic tether system are constructed. As an independent variable the true anomaly angle is chosen. The particular case of motion of a system with the constant length tether is considered. It is shown, that in this case at the system there is a chaos.
About the authors
V. S. Aslanov
Samara State Aerospace University
Author for correspondence.
Email: aslanov_vs@mail.ru
Russian Federation
A. V. Pirozhenko
Institute of Technical Mechanics National Academy of Science of Ukraine & National Space Agency of Ukraine
Email: alex.pirozhenko@mail.ru
Russian Federation
B. V. Ivanov
Samara State Aerospace University
Email: boris063@mail.ru
Russian Federation
A. S. Ledkov
Samara State Aerospace University
Email: ledkov@inbox.ru
Russian Federation
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