Resonance in the orbital motion of solar power station due to gravitational orbit-attitude coupling

LIU Yuliang; WU Shu'nan; ZHANG Kaiming; WU Zhigang

doi:10.7527/S1000-6893.2018.22194

ACTA AERONAUTICAET ASTRONAUTICA SINICA >

2018 , Vol. 39 >Issue 12: 222194 - 222194

DOI: https://doi.org/10.7527/S1000-6893.2018.22194

Solid Mechanics and Vehicle Conceptual Design

Resonance in the orbital motion of solar power station due to gravitational orbit-attitude coupling

LIU Yuliang ,
WU Shu'nan ,
ZHANG Kaiming ,
WU Zhigang

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1. School of Aeronautics and Astronautics, Dalian University of Technology, Dalian 116024, China 2. State Key Laboratory of Structural Analysis for Industrial Equipment, Dalian University of Technology, Dalian 116024, China

Received date: 2018-04-11

Revised date: 2018-05-14

Online published: 2018-08-30

Supported by

National Natural Science Foundation of China (11432010,11502040); the Fundamental Research Funds for the Central Universities (DUT15LK31)

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Abstract

The gravitational orbit-attitude coupling effect on the orbital motion of an arbitrarily phased array space solar power station is studied in this paper. The dynamic equations of the orbital and attitude motions of the space solar power station, considering the effect of gravitational coupling, are firstly derived from the Hamilton dynamics. The arbitrarily phased array space solar power station is simplified as a rigid body and its gravitational potential is expanded in a Taylor series in a small ratio (spacecraft size/orbital radius), and is retained up to the second order terms. Then the equations are analyzed through analytic methods and a resonance phenomenon of the orbital motion caused by the gravitational orbit-attitude coupling effect is discovered when the attitude motion satisfies some certain conditions. In addition, the effect of gravitational orbit-attitude coupling will also result in secular orbital drift of the space solar power station, and the drift can be eliminated by selecting appropriate initial conditions of the orbital motion. The orbit of the space solar power station is unstable under the effect of gravitational orbit-attitude coupling when there exists a constant earth-pointing error in the pitch angle. Finally, numerical simulations are provided, and the results prove the correctness of the analyses above.

Key words： space solar power station; large space structure; orbit-attitude coupling; resonance in orbital motion; gravity gradient force; Taylor expansion

Cite this article

LIU Yuliang , WU Shu'nan , ZHANG Kaiming , WU Zhigang . Resonance in the orbital motion of solar power station due to gravitational orbit-attitude coupling[J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2018 , 39(12) : 222194 -222194 . DOI: 10.7527/S1000-6893.2018.22194

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