重力姿轨耦合效应引起的太阳能电站轨道共振

doi:10.7527/S1000-6893.2018.22194

固体力学与飞行器总体设计

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重力姿轨耦合效应引起的太阳能电站轨道共振

刘玉亮, 邬树楠, 张开明, 吴志刚

1. 大连理工大学航空航天学院, 大连 116024 2. 大连理工大学工业装备结构分析国家重点实验室, 大连 116024

收稿日期:2018-04-11 修回日期:2018-05-14 出版日期:2018-12-15 发布日期:2018-08-30
通讯作者: 吴志刚 E-mail:wuzhg@dlut.edu.cn
基金资助:
国家自然科学基金（11432010，11502040）；中央高校基本科研业务费（DUT15LK31）

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

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

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:2018-04-11 Revised:2018-05-14 Online:2018-12-15 Published:2018-08-30
Supported by:
National Natural Science Foundation of China (11432010,11502040); the Fundamental Research Funds for the Central Universities (DUT15LK31)

摘要/Abstract

摘要： 以任意相控阵天线式空间太阳能电站为研究对象，主要研究了其在轨运行过程中受到的重力姿轨耦合效应对其轨道运动的影响。首先，通过Hamilton原理建立起考虑重力姿轨耦合效应时的姿态运动和轨道运动的方程。其中，任意相控阵天线式空间太阳能电站被简化成刚体，它的重力势能以其结构尺寸和其轨道半径的比值为小量进行泰勒展开，并保留至二阶项。之后，采用解析的方法对方程进行分析，并发现当电站的姿态运动满足一定条件时，其轨道运动将会出现共振现象。此外，重力姿轨耦合效应还会引起空间太阳能电站轨道运动长期的漂移，通过选择合适的轨道运动初始条件可以消除漂移；而且，在一定条件下，重力姿轨耦合效应还会引起轨道运动的发散。最后，数值仿真结果验证了分析的正确性。

关键词: 空间太阳能电站, 大型空间结构, 姿轨耦合, 轨道运动共振, 重力梯度力, 泰勒展开

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

中图分类号:

V412.4

刘玉亮, 邬树楠, 张开明, 吴志刚. 重力姿轨耦合效应引起的太阳能电站轨道共振[J]. 航空学报, 2018, 39(12): 222194-222194.

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.

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重力姿轨耦合效应引起的太阳能电站轨道共振

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

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