Dynamic Modelling and Symplectic Solution of Coupled Orbit & Attitude for Solar Sail Towers

WEN Fen-qiang; DENG Zi-chen; WEI Yi; LI Qing-jun

doi:10.21656/1000-0887.370321

Volume 38 Issue 7

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Article Navigation > Applied Mathematics and Mechanics > 2017 > 38(7): 762-768

WEN Fen-qiang, DENG Zi-chen, WEI Yi, LI Qing-jun. Dynamic Modelling and Symplectic Solution of Coupled Orbit & Attitude for Solar Sail Towers[J]. Applied Mathematics and Mechanics, 2017, 38(7): 762-768. doi: 10.21656/1000-0887.370321

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Dynamic Modelling and Symplectic Solution of Coupled Orbit & Attitude for Solar Sail Towers

doi: 10.21656/1000-0887.370321

School of Mechanics, Civil Engineering and Architecture, Northwestern Polytechnical University, Xi’an 710072, P.R.China

Funds: The National Natural Science Foundation of China(11432010; 11572254)

Received Date: 2016-11-03
Rev Recd Date: 2017-05-16
Publish Date: 2017-07-15

Abstract

Abstract

A simplified model for solar sail towers was established. Firstly, the dynamic equations for the system were transformed from the Lagrangian system into the Hamiltonian system, and the canonical constrained Hamiltonian equations were obtained. Then the dynamic characteristics of the coupled orbit-attitude system of the solar sail tower were analyzed with the symplectic Runge-Kutta method and the Zu-class method. Energy and constraint conservation problems of the schemes were also investigated. Finally, the dynamic characteristics of the system were numerically simulated. The results illustrate the effectiveness of the proposed method.
- solar sail tower,
- constrained Hamiltonian system,
- Zu-class method,
- energy conservation

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References(16)

References

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