Abstract
Simulation of tethered satellite systems requires the numerical solution of a coupled system of nonlinear partial and ordinary differential equations.
Due to the technical design of such systems the set of governing equations of motion results in a stiff system of differential equations. In order to avoid long integration times, contrary to the formulation usually used in the literature, an alternative description of the deformation of the tether is given. In the new variables after discretization of the continuous tether in space (for example by Finite Elements or Finite Differences) a system of ordinary differential equations is obtained in which the fast motion is separated from the slow motion. For the integration of such systems specialized software is available reducing integration time considerably.
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References
Beletskii, V. V., Levin, E. M.: Dynamics of Space Tether Systems. Advances of the Astronautical Sciences 83, 1993.
Hairer, E., Wanner, G.: Solving Ordinary Differential Equations, II. Stiff and Differential-Algebraic Problems, Springer Verlag, Berlin, Heidelberg 1991. Advances of the Astronautical Sciences 83, 1993.
Hlndmarsh, A. C.: 1983. ODEPACK, Asystematic collection of ODE solvers in scientific computing, R. S. Stepleman et al (eds.) North-Holland, Amsterdam, 55–64.
Kohler, P., Maag, W., Wehrli, R., Weber, R., Brauchli, H.: Dynamics of a System of two Satellites Connected by a Deployable and Extensible Tether of Finite Mass. ESTEC Contract No. 2992/76/NL/AK(SC), 1978.
Kuhn, A.: Numerische Behandlung von “Tethered Satellite Systems” unter besonderer Berück-sichtigung längssteifer Verbindungsseile. Dissertation TU-Wien, 1995.
Llangdong, L., Bainum, P. M.: Effect of Tether Flexibility on the Tethered Shuttle SubsatelliX-Cte Stability and Control. J. of Guidance, Control and Dynamics 12 (1989), 866–873.
Misra, A. K., Modi, V. J.: A survey on the dynamics and control of tethered satellite systems AAS 86–246, 667-719
Schagerl, M.: Dynamik von Seilen unter holonomen Zwängen, ZAMM 77 (1997) Sl, 291–292
Steiner, W., Steindl, A., And Troger, H.: 1995. “Dynamics of a Space Tethered Satellite System with Two Rigid Endbodies”. In Proceedings of the Fourth International Conference on Tethers in Space. Science and Technology Corporation, Hampton, VA, 1367–1379.
Steiner, W., Zemann, J. V., Steindl, A., Troger, H.: Numerical Study of Large Amplitude Oscillations of a Two Satellites Continuous Tether System with Varying Length. Acta Astronautica 35 (1995), 607–621.
Vu-Quoc, L., Slmo, J. C.: Dynamics of Earth-Orbiting Flexible Satellites with Multibody Components. J. Guidance, Control and Dynamics 10 (1987), 549–558.
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© 1999 Springer Science+Business Media Dordrecht
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Poth, W., Schagerl, M., Steindl, A., Steiner, W., Troger, H. (1999). Numerically Efficient Formulation of The Equations of Motion of Tethered Satellite Systems. In: Mang, H.A., Rammerstorfer, F.G. (eds) IUTAM Symposium on Discretization Methods in Structural Mechanics. Solid Mechanics and its Applications, vol 68. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-4589-3_16
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DOI: https://doi.org/10.1007/978-94-011-4589-3_16
Publisher Name: Springer, Dordrecht
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