Numerically Efficient Formulation of The Equations of Motion of Tethered Satellite Systems

Poth, W.; Schagerl, Martin; Steindl, Alois; Steiner, Wolfgang; Tröger, H.

doi:10.1007/978-94-011-4589-3_16

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Strong Form Of the Equations Of Motion1

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2006

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“…For the numerically stable integration in time of the set of ordinary differential equations (29) which are a stiff system in the mathematical sense, implicit methods must be used. In [22,28] comparisons of different algorithms are given. Good results have been obtained with BDF methods possessing automatic step size-control and order-strategy like for example DASSL [29].…”

Section: Strong Form Of the Equations Of Motionmentioning

confidence: 99%

Modelling, Dynamics and Control of Tethered Satellite Systems

et al. 2006

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Tethered satellite systems (TSS) pose quite challenging problems concerning their modelling, derivation of the equations of motion, numerical simulation of their dynamics, deciding on stability of relative equilibria provided the system moves on a circular orbit around the Earth and the occurrence of chaotic dynamics. Moreover, for the processes of deployment or retrieval of one satellite from or to another satellite certain control strategies, for example time or energy optimal control, are necessary. All these problems are considered in this paper.

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Section: Strong Form Of the Equations Of Motionmentioning

confidence: 99%