Article

Nonlinear Dynamics

, Volume 43, Issue 1, pp 73-96

First online:

Modelling, Dynamics and Control of Tethered Satellite Systems

  • M. KrupaAffiliated withInstitute for Mechanics, Vienna University of Technology
  • , W. PothAffiliated withInstitute for Mechanics, Vienna University of Technology
  • , M. SchagerlAffiliated withInstitute for Mechanics, Vienna University of Technology
  • , A. SteindlAffiliated withInstitute for Mechanics, Vienna University of Technology
  • , W. SteinerAffiliated withInstitute for Mechanics, Vienna University of Technology
  • , H. TrogerAffiliated withInstitute for Mechanics, Vienna University of Technology Email author 
  • , G. WiedermannAffiliated withInstitute for Mechanics, Vienna University of Technology

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Abstract

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.

Key Words

chaotic dynamics Hamilton's principle optimal control reduced energy momentum method relative equilibrium stiff differential equations