On equilibrium positions and stabilization of electrodynamic tether system in the orbital frame

A. A. Tikhonov, L. F. Shcherbakova

Research output: Chapter in Book/Report/Conference proceedingConference contributionResearchpeer-review

3 Scopus citations

Abstract

An electrodynamic tether system (EDTS) in a near-Earth circular orbit is considered. EDTS contains conductive tether with lumped masses attached to it at the ends. Possible equilibrium positions of the stretched tether under the influence of gravity gradient, Ampere and Lorentz forces in orbital frame are investigated. It is shown that in addition to the vertical equilibrium position, the "inclined" equilibrium positions of the tensioned tether are also possible. Conditions are obtained for the EDTS parameters, under which there is only one vertical position of the tether equilibrium. On the basis of nonlinear differential equations of motion, using the Lyapunov functions method, sufficient conditions for the stability of the vertical position of the tether equi-librium are obtained. It is shown that stabilization of the tether in this position is possible in the presence of damping in the EDTS system. The results of numerical simulation are presented.

Original languageEnglish
Title of host publicationEIGHTH POLYAKHOV'S READING
Subtitle of host publicationProceedings of the International Scientific Conference on Mechanics
EditorsE Kustova, G Leonov, N Morosov, M Yushkov, M Mekhonoshina
PublisherAmerican Institute of Physics
Number of pages8
Volume1959
ISBN (Electronic)9780735416604
ISBN (Print)9780735416604
DOIs
StatePublished - 2 May 2018
EventInternational Scientific Conference on Mechanics - Eighth Polyakhov's Reading: 8th Polyakhov's Reading - Старый Петергоф, Saint Petersburg, Russian Federation
Duration: 29 Jan 20182 Feb 2018
Conference number: 8
https://events.spbu.ru/events/polyakhov_readings
http://nanomat.spbu.ru/en/node/175
http://nanomat.spbu.ru/ru/node/192
http://spbu.ru/news-events/calendar/viii-polyahovskie-chteniya

Publication series

NameAIP Conference Proceedings
PublisherAMER INST PHYSICS
Volume1959
ISSN (Print)0094-243X

Conference

ConferenceInternational Scientific Conference on Mechanics - Eighth Polyakhov's Reading
CountryRussian Federation
CitySaint Petersburg
Period29/01/182/02/18
Internet address

Scopus subject areas

  • Physics and Astronomy(all)

Keywords

  • GEOMAGNETIC-FIELD
  • SATELLITE
  • SPACECRAFT
  • STABILITY
  • DEORBIT
  • DYNAMICS

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