A symplectic Runge-Kutta method for the analysis of the tethered satellite system. Issue 1 (12th June 2017)

• Record Type: Journal Article
• Authors: Xu, Nuan Fang; Deng, Zi-Chen; Wang, Yan; Zhang, Kai
• Is Part Of: Multidiscipline modeling in materials and structures. Volume 13:Issue 1(2017)
• Page Start: 26
• Page End: 35
• Publication Date: 2017-06-12
• Subjects: Hamiltonian system -- Canonical equation -- Symplectic Runge-Kutta method -- Tethered satellite; Materials -- Mathematical models -- Periodicals; Engineering -- Mathematical models -- Periodicals; 620.11015118
• DOI: 10.1108/MMMS-11-2016-0060
• Languages: English
• ISSNs: 1573-6105

Abstract

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.