Abstract
The most important and complicated operations during a tethered satellite system mission are deployment and retrieval of a subsatellite from or to a space ship. The deployment process has been treated in [15]. In this paper retrieval is considered. We restrict to the practically important case that the system is moving on a circular Keplerian orbit around the Earth. The main problem during retrieval is that it results in an unstable motion concerning the radial relative equilibrium which is stable for a tether of constant length. The uncontrolled retrieval results in a strong oscillatory motion. Hence for the practically useful retrieval of a subsatellite this process must be controlled. We propose an optimal control strategy using the Maximum Principle to achieve a force controlled retrieval of the tethered subsatellite from the radial relative equilibrium position far away from the space ship to the radial relative equilibrium position close to the space ship.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
E.M. Abdel-Rahman and A.H. Nayfeh, ‘Pendulation reduction in boom cranes using cable length manipulation’, Nonlinear Dynamics, 27, 255–269, 2002.
P. Bainum and V.K. Kumar, ‘Optimal control of the shuttle-tethered-subsatellite system’, Acta Astronautica, 7, 1333–1348, 1980.
B. Barkow, A. Steindl, H. Troger and G. Wiedermann, ‘Some methods of controlling the deployment of a tethered satellite’, Int. J. Vibration and Control, 9, 187–208, 2003.
T. Beardsley, ‘The way to go in Space’, Scientific American, pp. 40–77 February 1999.
V.V. Beletsky and E.M. Levin, ‘Dynamics of space tether systems’, Advances of the Astronautical Sciences, 83, 1993.
F.L. Chernousko, ‘Dynamics of retrieval of a space tethered system’, J. Appl. Maths. Mechs, 59, 165–173, 1995.
R.P. Hoyt, R.L. Forward, G.D. Nordley and C.W. Uphoff, ‘Rapid interplanetary tether transport systems’, IAF-99-A.5.10, 50th IAF Congress Amsterdam, 31 pages, 1999.
M. Krupa, A. Kuhn, W. Poth, M. Schagerl, A. Steindl, W. Steiner, H. Troger and G. Wiedermann, ‘Tethered satellite systems: A new concept of space flight’, Eur J. Mech. A/Solids 19, S145–S164, 2000.
M. Krupa, M. Schagerl, A. Steindl and H. Troger, ‘Stability of relative equilibria. Part I: Comparison of four methods”, Meccanica 35, 325–351, 2001.
M. Krupa, A. Steindl and H. Troger, ‘Stability of relative equilibria. Part II: Dumbell satellites’, Meccanica 35, 353–371, 2001.
A.K. Misra and V.J. Modi, ‘Deployment and retrieval of shuttle supported tethered satellites’, J. Guidance and Control, 5, 278–285, 1982.
‘Proceedings of the fourth international conference on tethers in space’, Science and Technology Corporation, Hampton, VA, 1995.
W. Steiner, A. Steindl and H. Troger, ‘Dynamics of a space tethered satellite system with two rigid endbodies’, Science and Technology Corporation, Hampton, VA, in [12], 1367–1379, 1995.
W. Steiner, A. Steindl and H. Troger, ‘Center manifold approach to the control of a tethered satellite system,’ Applied Mathematics and Computation, 70, 315–327, 1995.
A. Steindl and H. Troger, ‘Optimal control of deployment of a tethered subsatellite’, Nonlinear Dynamics, 31, 257–274, 2003.
G. Wiedermann, M. Schagerl, A. Steindl and H. Troger, ‘Computation of force controlled deployment and retrieval of a tethered satellite system by the finite element method’, in Proceedings of ECCM’99, W. Wunderlich (ed.), pp. 410–429, 1999.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2005 Springer
About this paper
Cite this paper
Steindl, A., Steiner, W., Troger, H. (2005). Optimal Control of Retrieval of a Tethered Subsatellite. In: Rega, G., Vestroni, F. (eds) IUTAM Symposium on Chaotic Dynamics and Control of Systems and Processes in Mechanics. Solid Mechanics and its Applications, vol 122. Springer, Dordrecht. https://doi.org/10.1007/1-4020-3268-4_41
Download citation
DOI: https://doi.org/10.1007/1-4020-3268-4_41
Publisher Name: Springer, Dordrecht
Print ISBN: 978-1-4020-3267-7
Online ISBN: 978-1-4020-3268-4
eBook Packages: EngineeringEngineering (R0)