Control over the deployment of an orbital tether system of great length


Cite item

Full Text

Abstract

Control of deploying an extended tether system into the vertical position is considered in the paper. It is assumed that in the initial state the system consisting of two space vehicles moves in a circular Earth orbit. We propose nominal control programs ensuring the deployment of the system to a predetermined length and taking into account the restrictions on the speed of tether and force in the control mechanism. To construct nominal deployment programs a mathematical model of the system’s motion in the orbital moving coordinate system is used. The model takes into account the peculiarities of the problem. We assess the operability of the proposed programs of deployment according to the mathematical model of controlled motion of the orbital tether system with distributed parameters recorded in the geocentric coordinate system. To perform test calculations a linear regulator that provides feedback on the length and speed of the tether deployment is used. 

About the authors

Ch. Wang

Northwestern Polytechnic University, Xi’an

Author for correspondence.
Email: wangcq@mail.ru

Ph.D., Associate Professor of School of Automation

China

Yu. M. Zabolotnov

Samara National Research University

Email: yumz@yandex.ru

Doctor of Science (Engineering)
Professor of the Department of Software Systems

Russian Federation

References

  1. Beletskiy V.V., Levin E.M. Dinamika kosmicheskikh trosovykh system [Dynamics of space tether systems]. Moscow: Nauka Publ., 1990. 336 p.
  2. Kruijff M. Tethers in Space. Netherlands: Delta‐Utec Space Research, 2011. 423 p.
  3. Zabolotnov Yu. Introduction of Space tether system motion dynamics and control. Beijing: Science Press, 2013. 140 p.
  4. Alpatov A.P., Beletskiy V.V., Dranovskiy V.I., Zakrzhevskiy A.E., Pirozhenko A.V., Troger G., Khoroshilov V.S. Dinamika kosmicheskikh sistem s trosovymi i sharnirnymi soedineniyami [Dynamics of space systems with tether and swivel connections]. Izhevsk: Institut Komp'yuternykh Issledovaniy Publ., 2007. 560 p.
  5. Zhong R., Zhu Z. Optimal trajectory design of a deorbiting electrodynamic tether system. International Journal of Space Science and Engineering. 2013. V. 1, Iss. 2. P. 128-141. doi: 10.1504/ijspacese.2013.054459
  6. Bokelmann K.A., Russell R.P., Lantoine G. Periodic orbits and equilibria near jovian moons using an electrodynamic tether. Journal of Guidance, Control, and Dynamics. 2015. V. 38, Iss. 1. P. 15-29. doi: 10.2514/1.g000428
  7. Schadegg M.M., Russell R.P., Lantoine G. Jovian orbit capture and eccentricity reduction using electrodynamic tether propulsion. Journal of Spacecraft and Rockets. 2015. V. 52, Iss. 2. P. 506-516. doi: 10.2514/1.a32962
  8. Zabolotnov Yu.М., Elenev D.V. Stability of Motion of Two Rigid Bodies Connected by a Cable in the Atmosphere. Mechanics of Solids. 2013. V. 48, Iss. 2. P. 156-164. doi: 10.3103/s0025654413020064
  9. Zabolotnov Yu.М., Naumov O.N. Motion of a Descent Capsule Relative to Its Center of Mass when Deploying the Orbital Tether System. Cosmic Research. 2012. V. 50, Iss. 2. P. 177-187. doi: 10.1134/s0010952512020098
  10. Aslanov V.S., Ledkov A.S. Dynamic of the Tethered Satellite Systems. Woodhead Publishing Limited, Cambridge, UK, 2012. 356 p.
  11. Kwon D.W. Propellantless formation flight applications using electromagnetic satellite formations. Acta Astronautica. 2010. V. 67, Iss. 9-10. P. 1189-1201. doi: 10.1016/j.actaastro.2010.06.042
  12. Huang H., Zhu Y., Yang L., Zhang Y. Stability and shape analysis of relative equilibrium for three-spacecraft electromagnetic formation. Acta Astronautica. 2014. V. 94, Iss. 1. P. 116-131. doi: 10.1016/j.actaastro.2013.08.011
  13. Zabolotnov Yu.M. Control of the deployment of a tethered orbital system with a small load into a vertical position. Journal of Applied Mathematics and Mechanics. 2015. V. 79, Iss. 1. P. 28-34. doi: 10.1016/j.jappmathmech.2015.04.015
  14. Ishkov S.A., Naumov S.A. Control over orbital tether system unfolding. Vestnik of the Samara State Aerospace University. 2006. No. 1(9). P. 77-85. (In Russ.)
  15. Dignath F., Schiehlen W. Control of the vibrations of a tethered satellite system. Journal of Applied Mathematics and Mechanics. 2000. V. 64, Iss. 5. P. 715-722. doi: 10.1016/S0021-8928(00)00100-3
  16. Zabolotnov Yu., Naumov O. Methods of the analysis of motion of small space vehicles around the centre of masses at deployment of space tether system. International Journal of Space Science and Engineering. 2014. V. 2, Iss. 4. P. 305-326. doi: 10.1504/ijspacese.2014.066964

Supplementary files

Supplementary Files
Action
1. JATS XML

Copyright (c) 2017 VESTNIK of Samara University. Aerospace and Mechanical Engineering

This website uses cookies

You consent to our cookies if you continue to use our website.

About Cookies