A symplectic Runge-Kutta method for the analysis of the tethered satellite system
Multidiscipline Modeling in Materials and Structures
ISSN: 1573-6105
Article publication date: 12 June 2017
Abstract
Purpose
The purpose of this paper is to study the dynamic vibrations of the tethered satellite system (TSS).
Design/methodology/approach
The energy principle and the variational approach are used to establish the dynamic equations of the TSS. By introducing new generalized coordinates, the equations are transformed into the Hamiltonian system. Then, the symplectic Runge-Kutta (SRK) method is used to solve the canonical equations.
Findings
The influence of the tether length on the dynamic behavior of the TSS is very important.
Originality/value
The dynamic responses of the TSS are obtained by using the SRK method.
Keywords
Acknowledgements
This work is funded by the National Natural Science Foundation of China (No. 11432010, 11502202, 11572254) and Natural Science Basic Research Plan in Shaanxi Province of China (No.2016JQ1033).
Citation
Xu, N.F., Deng, Z.-C., Wang, Y. and Zhang, K. (2017), "A symplectic Runge-Kutta method for the analysis of the tethered satellite system", Multidiscipline Modeling in Materials and Structures, Vol. 13 No. 1, pp. 26-35. https://doi.org/10.1108/MMMS-11-2016-0060
Publisher
:Emerald Publishing Limited
Copyright © 2017, Emerald Publishing Limited