Chaotic motion of the elastic tether system

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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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