J2摄动和太阳光压对绳系卫星系统的影响分析

徐方暖; 王博; 魏乙; 李庆军; 邓子辰

doi:10.13433/j.cnki.1003-8728.2018.0120

J2摄动和太阳光压对绳系卫星系统的影响分析

doi: 10.13433/j.cnki.1003-8728.2018.0120

1.
西北工业大学工程力学系, 西安 710072;
2.
钱学森空间技术实验室, 北京 100094;
3.
西北工业大学应用数学系, 西安 710072

基金项目:

国家自然科学基金项目（11432010）资助

详细信息

作者简介:
徐方暖(1981-),博士研究生,研究方向为动力学与控制与辛算法,xufangnuan@nwpu.edu.cn

通讯作者:
邓子辰,教授,博士,博士生导师,dweifan@nwpu.edu.cn

计量
- 文章访问数: 236
- HTML全文浏览量: 30
- PDF下载量: 7
- 被引次数: 0
出版历程
- 收稿日期: 2016-09-06
- 刊出日期: 2018-01-15

Analysis of Impact of J2 Perturbations and Solar Radiation Pressure on Tethered Satellite System

1.
Department of Engineering Mechanics, Northwestern Polytechnical University, Xi'an 710072, China;
2.
Qian Xuesen Laboratory of Space Technology, Beijing 100094, China;
3.
Department of Applied Mathematics, Northwestern Polytechnical University, Xi'an 710072, China

摘要

摘要: 通过引入广义坐标与广义动量，在Hamilton体系下建立了空间绳系卫星系统的动力学方程；在保守体系下，分别采用经典Runge-Kutta方法和辛Runge-Kutta方法离散方程，比较了两种方法在能量保持方面的优劣，重点分析了辛算法在长时间数值仿真中的优势；最后，采用辛算法进行数值求解，研究了J2摄动和光压摄动对轨道半径、真近点角、姿态角以及绳弹性变形的影响。结果表明J2摄动和太阳光压对绳系卫星系统的影响明显。
- 绳系卫星 /
- 动力学方程 /
- 辛Runge-Kutta方法 /
- J2摄动
Abstract: A "spring-mass" model is established for the tethered satellite system, and the dynamic equations of the system are derived in the Hamiltonian system with the introduction of generalized coordinates and generalized momenta. The classic Runge-Kutta method and symplectic Runge-Kutta method are applied to discretize the dynamic equations. The advantages of symplectic Runge-Kutta method are examined through long-time numerical simulations. Finally, the impact of J2 perturbation and solar radiation pressure on the orbital radius, true anamaly, attitude angle and elastic deformation of the tether are discussed. The results show that there exist obvious effects of J2 perturbation and solar radiation pressure on the tethered satellite system.
- tethered satellite /
- dynamic models /
- symplectic runge-kutta method /
- perturbation

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参考文献(20)

[1]	余本嵩,文浩,金栋平,等.空间电动力绳系统理论及实验研究[J].力学进展,2016,46:226-266 Yu B S, Wen H, Jin D P, et al. Theory and experiment of space electrodynamic tether systems[J]. Advances in Mechanics, 2016,46):226-266(in Chinese)
[2]	陈辉,文浩,金栋平,等.绳系卫星在轨试验及地面物理仿真进展[J].力学进展,2013,43(1):174-184 Chen H, Wen H, Jin D P, et al. Experimental studies on tethered satellite systems[J]. Advances in Mechanics, 2013,43(1):174-184(in Chinese)
[3]	黄文虎,曹登庆,韩增尧.航天器动力学与控制的研究进展与展望[J].力学进展,2012,42(4):367-394 Huang W H, Cao D Q, Han Z Y. Advances and trends in dynamics and control of spacecrafts[J]. Advances in Mechanics, 2012,42(4):367-394(in Chinese)
[4]	Ismail N A, Cartmell M P. Three dimensional dynamics of a flexible motorised Momentum Exchange Tether[J]. Acta Astronautica, 2016,120:87-102
[5]	于绍华,刘强,杨林娜.绳系卫星系统二维平面运动和常规动力学[J].宇航学报,2000,21(4):15-24 Yu S H, Liu Q, Yang L N. Regular dynamics of in-planar motion of tethered satellite system[J]. Journal of Astronautics, 2000,21(4):15-24(in Chinese)
[6]	Williams P, Blanksby C, Trivailo P. Tethered planetary capture:controlled maneuvers[J]. Acta Astronautica, 2003,53(4-10):681-708
[7]	金栋平,庞兆君,余本嵩.绳系卫星系统周期运动的分岔与镇定[J].南京航空航天大学学报,2012,44(5):663-668 Jin D P, Pang Z J, Yu B S. Periodic motion bifurcation and stabilization of tethered satellite system[J]. Journal of Nanjing University of Aeronautics & Astronautics, 2012,44(5):663-668(in Chinese)
[8]	Williams P. Optimal deployment/retrieval of tethered satellites[J]. Journal of Spacecraft and Rockets, 2008,45(2):324-343
[9]	夏洁,庞兆君,金栋平.面内弹性绳系卫星系统的内共振[J].振动工程学报,2012,25(3):232-237 Xia J, Pang Z J, Jin D P. Inner resonance of an in-plane elastic tethered satellite system[J]. Journal of Vibration Engineering, 2012,25(3):232-237(in Chinese)
[10]	王长青,张马林,王伟,等.随机扰动情况下绳系卫星状态保持阶段的最优控制[J].空间科学学报,2014,34(6):881-886 Wang C Q, Zhang M L, Wang W, et al. Optimal control for state-keeping stage of tethered satellite with random perturbation[J]. Chinese Journal of Space Science, 2014,34(6):881-886(in Chinese)
[11]	Yu B S, Jin D P, Wen H. Nonlinear dynamics of flexible tethered satellite system subject to space environment[J]. Applied Mathematics and Mechanics, 2016,37(4):485-500
[12]	魏乙,邓子辰,李庆军,等.光压摄动对空间太阳能电站轨道的影响研究[J].应用数学和力学,2017,38(4):399-409 Wei Y, Deng Z C, Li Q J, et al. Effects of solar radiation pressure on orbits of space solar power station[J]. Applied Mathematics and Mechanics, 2017,38(4):399-409(in Chinese)
[13]	张玉锟,戴金海.卫星编队飞行的地球扁率摄动分析[J].宇航学报,2010,23(3):72-76 Zhang Y K, Dai J H. Analysis of the earth oblateness perturbation on formation flying satellites[J]. Journal of Astronautics, 2010,23(3):72-76(in Chinese)
[14]	章仁为.卫星轨道姿态动力学与控制[M].北京:北京航空航天大学出版社,1998 Zhang R W. Dynamics and control of satellite orbit and attitude[M]. Beijing:Beihang University Press, 1998(in Chinese)
[15]	Wang Y, Xu S J. Gravitational orbit-rotation coupling of a rigid satellite around a spheroid planet[J]. Journal of Aerospace Engineering, 2014,27(1):140-150
[16]	Razzaghi P, Assadian N. Study of the triple-mass tethered satellite system under aerodynamic drag and J2 perturbations[J]. Advances in Space Research, 2015,56(10):2141-2150
[17]	Williams P, Hyslop A, Stelzer M, et al. YES2 optimal trajectories in presence of eccentricity and aerodynamic drag[J]. Acta Astronautica, 2009,64(7-8):745-769
[18]	Li G Q, Zhu Z H. Long-term dynamic modeling of tethered spacecraft using nodal position finite element method and symplectic integration[J]. Celestial Mechanics and Dynamical Astronomy, 2015,123(4):363-386
[19]	魏乙,邓子辰,李庆军,等.空间太阳能电站的轨道、姿态和结构振动的耦合动力学建模及辛求解[J].动力学与控制学报,2016,14(6):513-519 Wei Y, Deng Z C, Li Q J, et al. Coupling dynamic modeling among orbital motion, attitude motion and structural vibration and symplectic solution of sps[J]. Journal of Dynamics and Control, 2016,14(6):513-519(in Chinese)
[20]	Williams P, Blanksby C, Trivailo P. Tethered planetary capture maneuvers[J]. Journal of Spacecraft and Rockets, 2004,41(4):603-613