星间洛仑兹力编队飞行的平衡点及零速度曲面

留言板

尊敬的读者、作者、审稿人, 关于本刊的投稿、审稿、编辑和出版的任何问题, 您可以本页添加留言。我们将尽快给您答复。谢谢您的支持!

姓名
邮箱
手机号码
标题
留言内容
验证码

姓名

邮箱

手机号码

标题

留言内容

验证码

星间洛仑兹力编队飞行的平衡点及零速度曲面

doi:10.15982/j.issn.2095-7777.2015.03.010

彭超,
高扬

中国科学院空间应用工程与技术中心, 北京 100094

Equilibrium Points and Zero-Velocity Surfaces in the Presence of Inter-Satellite Lorentz Force

PENG Chao,
GAO Yang

Chinese Academy of Sciences, People's Republic of China, Beijing 100094, China

摘要:提出了一种新的利用星间洛仑兹力控制卫星相对运动的方法:使主星产生自旋磁场,副星带电,通过控制副星所受的星间洛仑兹力进行编队。假设主星产生的人造磁场表现为偶极子并且运动在一条开普勒圆形轨道上,副星恒定带电并在主星附近运动,同时假设星间洛仑兹力只影响副星的运动而不影响主星的运动。推导了副星在主星HCW(当地垂直当地地平坐标系)坐标系下的相对运动动力学方程。针对偶极子与HCW坐标轴X轴重合的情况下,推导了动力系统下的平衡点(并采用稳定性分析方法分析其线性化意义下的稳定性)、积分常数和零速度曲面,证明了有界相对运动的存在。最后用数值仿真验证了上述结论。
- 带电卫星/
- 磁偶极子/
- 星间洛仑兹力/
- 相对运动/
- 卫星编队
Abstract:This paper studies the relative orbital motion of a charged object near a spacebornemagnetic dipole, which indicates that the Lorentz force acting on the charged object is taken into consideration. Assuming that a space station in a Keplerian circular reference orbit is capable of generating a rotating magnetic dipole (the axis of the dipole is in the direction of the orbital radius vector) and a constantly charged object moves nearby in the artificial magnetic field, a nonlinear dynamical model of the proposed relative orbital motion, which is similar to the scenario of satellite formation flying, is established based on the Hill-Clohessy-Wiltshire (HCW) equation. Moreover, we suppose that the Lorentz force acts on the charged object only and does not affect the circular reference orbit of the spaceborne magnetic dipole. Based on the system parameters such as the charge-to-mass ratio of the charged object, magnetic dipole's moment and rotating rate, and the angular velocity of the circular reference orbit, we firstly derived system's equilibrium points and analyzed their stabilities. Subsequently, an integral constant and the zero-velocity surfaces of the dynamical system are derived, and it is clear to show the presence of bounded orbits around the magnetic dipole and transient orbits through equilibrium points. The flight mechanics of presented relative orbital motion, including equilibrium points andzero-velocity surfaces, reveals prospects of potential applications for proximity operations to a wide range of charged space objects.
- charged satellite/
- magnetic dipole/
- inter-satellite Lorentz Force/
- relative orbital motion/
- formation-flying

[1]	Folta D C,Newman L K,Gardner T.Foundations of formation flying for mission to planet earth and the new millennium[C]//Proceedings of the AIAA/AAS Astrodynamics Conference C. [S.l.]: AIAA, 1996:656-666.
[2]	Roux A. Cluster regroups for relaunch[J]. Aerospace America, 1998,36 (8):48-51.
[3]	Folkner W M, Hechlerz F, Sweetsery T H, et al. LISA orbit selection and stability[J]. Classical and Quantum Gravity, 1997,14(6):1405-1410.
[4]	Koss J, Pohlig S, Trichel M, et al.Precision radar surveillance and mapping with discovererⅡ[C]//Proceedings of the AIAA Space Technology Conference and Exposition C.[S.l.]: AIAA, 1999:99-4570.
[5]	Peck M A. Lorentz-actuated orbits: electrodynamic propulsion without a tether[R].NASA Institute for Advanced Concepts, Phase I Final Report, 2006.
[6]	Schaffer L, Burns J A. The dynamics of weakly charged dust: motion through Jupiter's gravitatinal and magnetic fields[J]. Journal of Geophysical Research, 1987(92):2264-2280.
[7]	Hough M E. Lorentz force perturbations of a charged ballistic missile[C]//Proceedings of AIAA Guidance and Control Conference. USA: AIAA, 1982:227-287.
[8]	Streetman B, Peck M A. New synchronous orbits using the geomagnetic Lorentz force[J]. Journal of Guidance,Control, and Dynamics, 2007,30(6):1677-1690.
[9]	Schaub H, Junkins J L. Analytical mechanics of space systems[M]. USA: American Institute of Aeronautics and Astronautics, 2003.

[1]	谢浩然, 詹亚锋, 王晓伟, 陈曦.卫星通导一体化技术及其在探月中的应用. 深空探测学报(中英文）, 2021, 8(2): 154-162.doi:10.15982/j.issn.2096-9287.2021.20200087
[2]	王馨悦, 张爱兵, 荆涛, 孔令高, 张珅毅.近月空间带电粒子环境——“嫦娥1号”“嫦娥2号”观测结果. 深空探测学报(中英文）, 2019, 6(2): 119-126.doi:10.15982/j.issn.2095-7777.2019.02.002
[3]	徐曦煜, 朱迪, 杨双宝.中国自主木星冰卫星冰下液态海洋探测刍议. 深空探测学报(中英文）, 2019, 6(6): 580-585.doi:10.15982/j.issn.2095-7777.2019.06.009
[4]	孙博文, 何章鸣, 王炯琦.基于神经网络的卫星控制系统故障识别方法. 深空探测学报(中英文）, 2019, 6(4): 369-375.doi:10.15982/j.issn.2095-7777.2019.04.009
[5]	宝军林, 淑杰熊, 笑月李, 夏林.基于学科链的卫星系统工程方法与实践. 深空探测学报(中英文）, 2019, 6(1): 46-51.doi:10.15982/j.issn.2095-7777.2019.01.007
[6]	欧阳琦, 牛东文.“龙江2号”月球轨道微卫星定轨分析. 深空探测学报(中英文）, 2019, 6(3): 254-260.doi:10.15982/j.issn.2095-7777.2019.03.009
[7]	喻子原, 刘劲, 宁晓琳, 马辛, 桂明臻, 康志伟.面向编队飞行的天文多普勒差分/脉冲星组合导航. 深空探测学报(中英文）, 2018, 5(3): 212-218.doi:10.15982/j.issn.2095-7777.2018.3.002
[8]	张立华, 吴伟仁.月球中继通信卫星系统发展综述与展望. 深空探测学报(中英文）, 2018, 5(6): 497-505,568.doi:10.15982/j.issn.2095-7777.2018.06.001
[9]	易韦韦, 偶晓娟, 许静文, 李晶, 李冰.脉冲星导航试验卫星观测数据处理与分析. 深空探测学报(中英文）, 2018, 5(3): 241-245,261.doi:10.15982/j.issn.2095-7777.2018.3.006
[10]	王建昭, 田岱, 张庆祥, 张相宇, 郑玉展, 呼延奇, 蔡震波.木星环绕探测任务中的内带电风险评估. 深空探测学报(中英文）, 2017, 4(6): 564-570.doi:10.15982/j.issn.2095-7777.2017.06.010
[11]	高永飞, 王兆魁.微纳卫星L1点Halo轨道转移轨道设计. 深空探测学报(中英文）, 2017, 4(1): 72-76.doi:10.15982/j.issn.2095-7777.2017.01.011
[12]	何芸, 刘祺, 田伟, 段会宗, 叶贤基, 范淑华, 李语强.地月第二拉格朗日点卫星激光测距技术研究. 深空探测学报(中英文）, 2017, 4(2): 130-137.doi:10.15982/j.issn.2095-7777.2017.02.005
[13]	刘一薇.“实践9号”卫星电推进首次在轨试验验证. 深空探测学报(中英文）, 2017, 4(3): 245-251.doi:10.15982/j.issn.2095-7777.2017.03.007
[14]	郑伟, 鄢建国, 李钊伟.深空卫星重力测量计划研究综述. 深空探测学报(中英文）, 2017, 4(1): 3-13.doi:10.15982/j.issn.2095-7777.2017.01.001
[15]	张锦绣, 陈学雷, 曹喜滨, 安军社.月球轨道编队超长波天文观测微卫星任务. 深空探测学报(中英文）, 2017, 4(2): 158-165.doi:10.15982/j.issn.2095-7777.2017.02.009
[16]	王春锋.卫星编队自主相对导航与通信一体化系统探讨. 深空探测学报(中英文）, 2017, 4(1): 38-42.doi:10.15982/j.issn.2095-7777.2017.01.006
[17]	梁常春, 孙鹏飞, 王耀兵, 危清清, 姜水清.行星采样柔性机械臂运动规划研究. 深空探测学报(中英文）, 2015, 2(1): 27-33.doi:10.15982/j.issn.2095-7777.2015.01.004
[18]	潘军洋, 谢懿.火星任务中星上原时τ与TCG的相对论变换. 深空探测学报(中英文）, 2015, 2(1): 69-74.doi:10.15982/j.issn.2095-7777.2015.01.010
[19]	刘宇鑫, 尚海滨, 王帅.地球静止轨道卫星电推进位保策略研究. 深空探测学报(中英文）, 2015, 2(1): 80-87.doi:10.15982/j.issn.2095-7777.2015.01.012
[20]	平劲松, 王明远, 张素君, 简念川, 王震, 鄢建国, 孟桥, 陈从颜, 席禹豪, 唐继斐, 张天翼, 李文潇, 张洪波, 汪敏.嫦娥系列探月卫星无线电科学实验简介. 深空探测学报(中英文）, 2014, 1(3): 192-199.doi:10.15982/j.issn.2095-7777.2014.03.005

点击查看大图

计量

文章访问数:2594
HTML全文浏览量:45
PDF下载量:1532
被引次数:0

星间洛仑兹力编队飞行的平衡点及零速度曲面

中国科学院空间应用工程与技术中心, 北京 100094

收稿日期:2015-01-20

修回日期:2015-07-15

关键词:

摘要:提出了一种新的利用星间洛仑兹力控制卫星相对运动的方法:使主星产生自旋磁场,副星带电,通过控制副星所受的星间洛仑兹力进行编队。假设主星产生的人造磁场表现为偶极子并且运动在一条开普勒圆形轨道上,副星恒定带电并在主星附近运动,同时假设星间洛仑兹力只影响副星的运动而不影响主星的运动。推导了副星在主星HCW(当地垂直当地地平坐标系)坐标系下的相对运动动力学方程。针对偶极子与HCW坐标轴X轴重合的情况下,推导了动力系统下的平衡点(并采用稳定性分析方法分析其线性化意义下的稳定性)、积分常数和零速度曲面,证明了有界相对运动的存在。最后用数值仿真验证了上述结论。

Equilibrium Points and Zero-Velocity Surfaces in the Presence of Inter-Satellite Lorentz Force

Chinese Academy of Sciences, People's Republic of China, Beijing 100094, China

Received Date:2015-01-20

Rev Recd Date:2015-07-15

Keywords:

Abstract:This paper studies the relative orbital motion of a charged object near a spacebornemagnetic dipole, which indicates that the Lorentz force acting on the charged object is taken into consideration. Assuming that a space station in a Keplerian circular reference orbit is capable of generating a rotating magnetic dipole (the axis of the dipole is in the direction of the orbital radius vector) and a constantly charged object moves nearby in the artificial magnetic field, a nonlinear dynamical model of the proposed relative orbital motion, which is similar to the scenario of satellite formation flying, is established based on the Hill-Clohessy-Wiltshire (HCW) equation. Moreover, we suppose that the Lorentz force acts on the charged object only and does not affect the circular reference orbit of the spaceborne magnetic dipole. Based on the system parameters such as the charge-to-mass ratio of the charged object, magnetic dipole's moment and rotating rate, and the angular velocity of the circular reference orbit, we firstly derived system's equilibrium points and analyzed their stabilities. Subsequently, an integral constant and the zero-velocity surfaces of the dynamical system are derived, and it is clear to show the presence of bounded orbits around the magnetic dipole and transient orbits through equilibrium points. The flight mechanics of presented relative orbital motion, including equilibrium points andzero-velocity surfaces, reveals prospects of potential applications for proximity operations to a wide range of charged space objects.

全文HTML

参考文献 (9)

留言板

星间洛仑兹力编队飞行的平衡点及零速度曲面

doi:10.15982/j.issn.2095-7777.2015.03.010

Equilibrium Points and Zero-Velocity Surfaces in the Presence of Inter-Satellite Lorentz Force

计量

星间洛仑兹力编队飞行的平衡点及零速度曲面

doi:10.15982/j.issn.2095-7777.2015.03.010

中国科学院空间应用工程与技术中心, 北京 100094

English Abstract

Equilibrium Points and Zero-Velocity Surfaces in the Presence of Inter-Satellite Lorentz Force

Chinese Academy of Sciences, People's Republic of China, Beijing 100094, China

全文HTML

目录

留言板

星间洛仑兹力编队飞行的平衡点及零速度曲面

doi:10.15982/j.issn.2095-7777.2015.03.010

Equilibrium Points and Zero-Velocity Surfaces in the Presence of Inter-Satellite Lorentz Force

计量

出版历程

星间洛仑兹力编队飞行的平衡点及零速度曲面

doi:10.15982/j.issn.2095-7777.2015.03.010

中国科学院 空间应用工程与技术中心, 北京 100094

English Abstract

Equilibrium Points and Zero-Velocity Surfaces in the Presence of Inter-Satellite Lorentz Force

Chinese Academy of Sciences, People's Republic of China, Beijing 100094, China

全文HTML

目录

中国科学院空间应用工程与技术中心, 北京 100094