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A symplectic Runge-Kutta method for the analysis of the tethered satellite system

Nuan Fang Xu (Northwestern Polytechnical University, Xi’an, China)
Zi-Chen Deng (Northwestern Polytechnical University, Xi’an, China)
Yan Wang (School of Mechanics, Civil Engineering and Architecture, Northwestern Polytechnical University, Xi’an, China)
Kai Zhang (School of Mechanics, Civil Engineering and Architecture, Northwestern Polytechnical University, Xi’an, China)

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