空间电动力绳系统理论及实验研究

余本嵩; 文浩; 金栋平; 陈提

doi:10.6052/1000-0992-15-029

空间电动力绳系统理论及实验研究

doi: 10.6052/1000-0992-15-029

南京航空航天大学机械结构力学及控制国家重点实验室, 南京 210016

基金项目: 国家自然科学基金(11202094,11290153)、机械结构力学及控制国家重点实验室自主课题(0113Y01)及江苏高校优势学科建设工程资助项目.

详细信息

作者简介:
金栋平,博士,教授,博士生导师.南京航空航天大学机械结构力学及控制国家重点实验室副主任、结构工程与力学系主任.科学出版社《非线性动力学丛书》《Acta Mechanica Sinica》《航空学报》《振动工程学报》《中国科学》等编委.主要从事非线性动力学与控制研究,曾获2005年度国家科技进步奖二等奖和2006年度国家自然科学奖二等奖.

通讯作者:
金栋平

中图分类号: V412.4
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出版历程
- 收稿日期: 2015-06-18
- 修回日期: 2015-09-14
- 刊出日期: 2016-05-20

Theory and experiment of space electrodynamic tether systems

State Key Laboratory of Mechanics and Control of Mechanical Structures, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China

More Information

Corresponding author: JIN Dongpingy

摘要

摘要: 本文关注在轨航天器中具有导电性能的电动力绳系统,因其复杂动响应特征及潜在应用前景值得学者们深入研究.论文阐述了电动力绳系统的工作原理,对系统的力学建模、动力学行为、控制、应用、在轨实验及地面实验方法等研究进展进行了详细总结,同时提出电动力绳系统有待进一步探究的科学与技术问题.
- 电动力绳系统 /
- 力学建模 /
- 动力学行为 /
- 控制 /
- 实验
Abstract: This paper focuses on electrodynamic tether systems having conductive property in space.The complex dynamics and potential applications of electrodynamic tethers have gained more and more attention from academic researchers.The paper summarizes recent progress of space electrodynamic tether systems, including the principle of electro-dynamic tethers, mechanics modeling, dynamic behaviors, dynamics control, applications, orbital and the ground-based experiments.Some challenges in the fields are put forward for further studies.
- electrodynamic tether system /
- mechanics modeling /
- dynamic behaviors /
- control /
- experiment

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参考文献(149)

[1]	蔡洪, 杨育伟, 郭才发. 2014. 电动力绳系研究进展. 宇航学报, 35:1223-1232(Cai H, Yang Y W, Guo C F. 2014. Review of electrodynamic tether system. Journal of Astronautics, 35:1223-1232).
[2]	陈辉, 文浩, 金栋平, 胡海岩. 2013. 绳系卫星在轨试验及地面物理仿真进展. 力学进展, 43:174-184(Chen H, Wen H, Jin D P, Hu H Y. 2013. Experimental studies on tethered satellite systems. Advances in Mechanics, 43:174-184).
[3]	孔宪仁, 徐大富. 2010. 空间绳系研究综述. 航天器环境工程, 27:775-783(Kong X R, Xu D F. 2010.The studied of space tether. Spacecraft Environment Engineering, 27:775-783).
[4]	李然, 许滨, 张珩. 2008. 空间电动绳系推进中导电系绳动态特性分析. 振动与冲击, 27:36-40, 185, 186(Li R, Xu B, Zhang H. 2008. Dynamic feature analysis of space electrodynamic tether systems. Journal of Vibration and Shock, 27:36-40, 185, 186).
[5]	刘丽丽. 2008. 绳系卫星动力学分析与控制的若干研究.[博士论文]. 南京:南京航空航天大学(Liu L L. 2008. Studies on dynamic analysis and control of tethered satellite systems.[PhD Thesis]. Nanjing:Nanjing University of Aeronautics and Astronautics).
[6]	刘丽丽, 文浩, 金栋平, 胡海岩. 2011. 三维电动力绳系子卫星轨道转移的最优控制. 计算力学学报, 28:178-182(Liu L L, Wen H, Jin D P, Hu H Y. 2011. Three-dimensional optimal control of orbit transfer for an electrodynamic tethered subsatellite. Chinese Journal of Computational Mechanics, 28:178-182).
[7]	潘冠群, 许滨, 张珩. 2007. 空间电动绳系推进的动力学建模与分析. 力学与实践, 29:17-22(Pan G Q, Xu B, Zhang H. 2007. Modelling and motion analysis of space electrodynamic tethered systems.Mechanics in Engineering, 29:17-22).
[8]	潘伟, 路长厚, 李吉栋, 孔令敏. 2011. 基于傅里叶展开的电动力绳系卫星最优控制. 航空学报, 32:1714-1721(Pan W, Lu C H, Li J D, Kong L M. 2011. Optimal control of electrodynamic tethered satellites based on fourier series expansion. Acta Aeronautica et Astronautica Sinica, 32:1714-1721).
[9]	文浩. 2009. 绳系卫星释放和回收的动力学控制.[博士论文]. 南京:南京航空航天大学(Wen H. 2009.Dynamic control for deployment and retrieval of tethered satellite systems.[PhD Thesis]. Nanjing:Nanjing University of Aeronautics and Astronautics).
[10]	文浩, 金栋平, 胡海岩. 2008. 倾斜轨道电动力绳系卫星回收控制. 力学学报, 40:375-380(Wen H, Jin D P, Hu H Y. 2008. Retrieval control of an electro-dynamic tethered satellite in an inclined orbit. Chinese Journal of Theoretical and Applied Mechanics, 40:375-380).
[11]	徐大富. 2010. 电动力绳系离轨系统的建模与动力学分析.[博士论文]. 哈尔滨:哈尔滨工业大学(Xu D F. 2010. Modeling and dynamic analysis of electrodynamic tether deorbiting system.[PhD Thesis]. Harbin:Harbin Institute of Technology).
[12]	徐大富, 孔宪仁, 刘文佳, 罗文波. 2007. 基于电动力缆绳的卫星离轨时间预测. 吉林大学学报(工学版), 37:1476-1480(Xu D F, Kong X R, Liu W J, Luo W B. 2007. Application of electro-dynamic tether for deorbiting and deorbit time forecast. Journal of Jilin University(Engineering and Technology Edition), 37:1476-1480).
[13]	余本嵩. 2011. 复杂太空环境下柔性绳系卫星动力学与控制.[博士论文]. 南京:南京航空航天大学(Yu B S. 2011. Dynamic and control of flexible tethered satellite in complex space environment.[PhD Thesis]. Nanjing:Nanjing University of Aeronautics and Astronautics).
[14]	翟光, 苏飞, 张景瑞, 张尧. 2015. 考虑面内外摆角对电动绳系离轨过程的参数影响分析. 系统工程与电子技术, 37:1837-1843(Zhai G, Su F, Zhang J R, Zhang Y. 2015. Analysis of libration impact on the deorbit mission of space electro-dynamic tether. Systems Engineering and Electronics, 37:1837-1843).
[15]	Agüero V M, Gilchrist B E, Williams S D, Burke W J, Krause L, Gentile L C. 2000. Current collection model characterizing shuttle charging during the tethered satellite system missions. Journal of Spacecraft and Rockets, 37:212-217.
[16]	Andrews J G, Allen J E. 1971. Theory of a double sheath between two plasmas. Proceedings of the Royal Society of London, 320:459-472.
[17]	Aslanov V, Yudintsev V. 2013. Dynamics of large space debris removal using tethered space tug. Acta Astronautica, 91:149-156.
[18]	Banerjee A, Singhose W, Blackburn D. 2005. Orbit boosting of an electrodynamic tethered satellite with input-shaped current. In:Proceedings of AAS/AIAA Astrodynamics Specialist Conference, Lake Tahoe, USA.
[19]	Banks P M, Williamson P R, Oyama K I. 1981. Electrical behavior of a shuttle electrodynamic tether system(SETS). Planetary and Space Science, 29:139-147.
[20]	Bell I C, Hagen K A, Singh V, McCarty S L, Cutler J W, Gilchrist B E, McTernan J K, Bilen S G. 2013. Investigating miniature electrodynamic tethers and interaction with the low earth orbit plasma. In:Proceedings of AIAA Space 2013 Conference and Exposition, San Diego, USA.
[21]	Bilitza D, Reinisch B W. 2008. International Reference Ionosphere 2007:Improvements and new parameters.Advances in Space Research, 42:599-609.
[22]	Bombardelli C. 2012. Power density of a bare electrodynamic tether generator. Journal of Propulsion and Power, 28:664-668.
[23]	Bombardelli C, Zanutto D, Lorenzini E C. 2013. Deorbiting performance of bare electrodynamic tethers in inclined orbits. Journal of Guidance, Control, and Dynamics, 36:1550-1555.
[24]	Bonometti J A, Sorensen K F, Dankanich J W, Frame K L. 2006. 2006 Status of the momentum exchange electrodynamic re-boost(MXER) tether development. In:Proceedings of 42nd AIAA/ASME/SAE/ASEE Joint Propulsion Conference and Exhibit, Sacramento, USA.
[25]	Bruno C, Bussolino L, Iess L, Licata R, Schirone L. 2001. EDOARD:a tether device for efficient electrody-namic de-orbiting of LEO spacecraft. In:Proceedings of Space Technology and Applications International Forum, Albuquerque, USA.
[26]	Carroll J A, Oldson J C. 1995. Tethers for small satellite applications. In:Proceedings of AIAA/USU Small Satellite Conference, Logan, USA.
[27]	Cartmell M P, McKenzie D J. 2008. A review of space tether research. Progress in Aerospace Sciences, 44:1-21.
[28]	Choinière É. 2004. Theory and experimental evaluation of a consistent steady-state kinetic model for two-dimensional conductive structures in ionospheric plasmas with application to bare electrodynamic tethers in space.[PhD Thesis]. Michigan:University of Michigan.
[29]	CosmoML, Lorenzini E C. 1997. Tethers in space handbook(3rd ed). Washington DC:National Aeronautics and Space Administration.
[30]	Danilov V V, Elgin B A, Grafodatsky O S, Mirnov V V. 2000. High-voltage satellite tethers for active experiments in space. In:Proceedings of 6th Spacecraft Charging Technology Conference, Huntsville, USA.
[31]	Davis J. 2004. Mathematical modeling of Earth's magnetic field.[Technical Note]. Blacksburg:Virginia Polytechnic Institute and State University.
[32]	Dobrowolny M, Stone N H. 1994. A technical overview of TSS-1:the first tethered-satellite system mission.Il Nuovo Cimento, 17C:1-12.
[33]	Ellis J R, Hall C D. 2009. Model development and code verification for simulation of electrodynamic tether system. Journal of Guidance, Control, and Dynamics, 32:1713-1722.
[34]	Estes R D, Lorenzini E C, Santangelo A. 2000a. An overview of electrodynamic tethers. In:Proceedings of 38th Aerospace Sciences Meeting and Exhibit, Reno, USA.
[35]	Estes R D, Lorenzini E C, Sanmartín J R, Peláez J, Martínez-Sánchez M, Johnson C L, Vas I E. 2000b.Bare tethers for electrodynamic spacecraft propulsion. Journal of Spacecraft and Rockets, 37:205-211.
[36]	Estes R D, Sanmartín J R, Martínez-Sánchez M. 2000c. Performance of bare-tether systems under varying magnetic and plasma conditions. Journal of Spacecraft and Rockets, 37:197-204.
[37]	Forward R L, Hoyt R P, Uphoff C. 1998. Application of the terminator tetherTM electrodynamic drag technology to the deorbit of constellation spacecraft. In:Proceedings of 34th AIAA/ASME/SAE/ASEE Joint Propulsion Conference and Exhibit, Cleveland, USA.
[38]	Fuhrhop K R P. 2007. Theory and experimental evaluation of electrodynamic tether systems and related technologies.[PhD Thesis]. Michigan:University of Michigan.
[39]	Fuhrhop K R P, West B, Choinière É. 2004. Current collection to electrodynamic-tether systems in space.In:Proceedings of 2nd International Energy Conversion Engineering Conference, Providence, USA.
[40]	Fujii H A, Watanabe T, Sahara H, Kojima H, Takehara S, Yamagiwa Y, Sasaki S, Abe T, Tanaka K, Oyama K, Johnson L, Khazanov V, Sanmartin J R, Charro M, Kruijff M, van der Heide E J, Rubin B, Garcia de Quiros F J, Trivailo P M, Williams P. 2011. Space demonstration of bare electrodynamic tape-tether technology on the sounding rocket S520-25. In:Proceedings of AIAA Guidance, Navigation, and Control Conference, Portland, USA.
[41]	Hoyt R P. 2002. Stabilization of electrodynamic tethers. In:Proceedings of 38th AIAA/ASME/SAE/ASEE Joint Propulsion Conference and Exhibit, Indianapolis, USA.
[42]	Hoyt R P, Minor B M. 2005. Remediation of radiation belts using electrostatic tether structures. In:Proceedings of Aerospace Conference, Piscataway, USA.
[43]	Iki K, Kawamoto S, Morino Y. 2012. Numerical simulations of an electrodynamic tether deployment from a spool-type using thrusters. In:Proceedings of 1st International Academy of Astronautics Conference, San Diego, USA.
[44]	Iki K, Kawamoto S, Morino Y. 2014. Experiments and numerical simulations of an electrodynamic tether deployment from a spool-type reel using thrusters. Acta Astronautica, 94:318-327.
[45]	Iñarrea M, Lanchares V, Pascual A I, Salas J P. 2014. Attitude stabilization of electrodynamic tethers in elliptic orbits by time-delay feedback control. Acta Astronautica, 96:280-295.
[46]	Iñarrea M, Peláez J. 2010. Libration control of electrodynamic tethers using the extended time-delayed autosynchronization method. Journal of Guidance, Control, and Dynamics, 33:923-933.
[47]	Ishige Y, Kawamoto S, Kibe S. 2004. Study on electrodynamic tether system for space debris removal. Acta Astronautica, 55:917-929.
[48]	Janeski J A, Hall C D, Scales W A. 2015. Effects of local plasma environment on dynamics of electrodynamic tether systems. Journal of Spacecraft and Rockets, 52:496-505.
[49]	Johnson L, Carroll J, Estes R D, Lorenzini E C, Gilchrist B, Martinez-Sanchez M, Sanmartin J, Vas I. 1996. Electrodynamic tethers for reboost of the international space station and spacecraft propulsion. In:Proceedings of Space Programs and Technologies Conference, Huntsville, USA.
[50]	Johnson L, Estes R D, Lorenzini E C, Martinez-Sanchez M, Sanmartin J, Vas I. 1998a. Electrodynamic tethers for spacecraft propulsion. In:Proceedings of 36th Aerospace Sciences Meeting and Exhibit, Reno, USA.
[51]	Johnson L, Herrmann M. 1998b. International space station electrodynamic tether reboost study.[Report]. Washington D.C:National Aeronautics and Space Administration, 1998-208538.
[52]	Katz I, Anderson J R, Polk J E, Brophy J R. 2003. One-dimensional hollow cathode model. Journal of Propulsion and Power, 19:595-600.
[53]	Kawamoto S, Makida T, Sasaki F, Okawa Y, Nishida S. 2006. Precise numerical simulations of electrody-namic tethers for an active debris removal system. Acta Astronautica, 59:136-148.
[54]	Kawashima N, Sasaki S, Oyama K I, Hirao K, Obayashi T, Raitt W J, White A B, Williamson P R, Banks P M. 1988. Results from a tethered rocket experiment(Charge-2). Advances in Space Research, 8:197-201.
[55]	Khazanov G V, Krivorutsky E N, Johnson L. 2006. Electrodynamic tether as a thruster for LEO mission ap-plications. In:Proceedings of 42nd AIAA/ASME/SAE/ASEE Joint Propulsion Conference and Exhibit, Sacramento, USA.
[56]	Kim I, Hirayama H, Hanada T. 2010. Practical guidelines for electro-dynamic tethers to survive from orbital debris impacts. Advances in Space Research, 45:1292-1300.
[57]	Kojima H, Iwashima H, Trivailo P M. 2011. Libration synchronization control of clustered electrodynamic tether system using kuramoto model. Journal of Guidance, Control, and Dynamics, 34:706-718.
[58]	Kojima H, Sugimoto T. 2007. Nonlinear control of a double pendulum electrodynamic tether system. Journal of Spacecraft and Rockets, 44:280-284.
[59]	Kojima H, Sugimoto T. 2009. Stability analysis of in-plane and out-of-plane periodic motions of electrody-namic tether system in inclined elliptic orbit. Acta Astronautica, 65:477-488.
[60]	Kojima H, Sugimoto T. 2010. Switching delayed feedback control for an electrodynamic tether system in an inclined elliptic orbit. Acta Astronautica, 66:1072-1080.
[61]	Korepanov V, Dudkin F. 2001. Electrodynamic tether system-possibility of realisation. Physics and Chem-istry of the Earth, 26:281-283.
[62]	Lanoix E L M, Misra A K, Modi V J, Tyc G. 2005. Effect of electrodynamic forces on the orbital dynamics of tethered satellites. Journal of Guidance, Control, and Dynamics, 28:1309-1315.
[63]	Larsen M B, Blanke M. 2007. Nonlinear control of electrodynamic tether in equatorial or somewhat inclined orbits. In:Proceedings of 15th Mediterranean Conference on Control and Automationt, Athens, Greece.
[64]	Larsen M B, Blanke M. 2009. Control by damping injection of electrodynamic tether system in an inclined orbit. In:Proceedings of 2009 American Control Conference, St. Louis, USA.
[65]	Mankala K K, Agrawal S K. 2005. Equilibrium-to-equilibrium maneuvers of rigid electrodynamic tethers.Journal of Guidance, Control, and Dynamics, 28:541-545.
[66]	Mankala K K, Agrawal S K. 2006. Equilibrium-to-equilibrium maneuvers of flexible electrodynamic tethers in equatorial orbits. Journal of Spacecraft and Rockets, 43:651-658.
[67]	Mantellato R, Pertile M, Colombatti G, Lorenzini E C. 2013. Analysis of passive system to damp the libration of electrodynamic tethers for deorbiting. In:Proceedings of AIAA SPACE 2013 Conference and Exposition, San Diego, USA.
[68]	Marshall L S, Griger R V. 1995. Deployer performance results for the TSS-1 mission.[Report]. Washington DC:National Aeronautics and Space Administration, NASA-CR-202595.
[69]	McTernan J K, Bilén S G. 2013. The plasma-spacecraft interface on small-scale spacecraft with implications for electrodynamic tether systems. In:Proceedings of AIAA Space 2013 Conference and Exposition, San Diego, USA.
[70]	Morris D. 2005. Optimizing space-charge limits of electron emission into plasmas in space electric propulsion.[PhD Thesis]. Michigan:University of Michigan.
[71]	Ohkawa Y, Kitamura S, Kawamoto S, Matsumoto K, Kibe S, Matsumoto T, Murata F, Matsui M, Yamagiwa Y. 2011. A carbon nanotube field emission cathode for electrodynamic tether systems. In:Proceedings of 32nd International Electric Propulsion Conference, Wiesbaden, Germany.
[72]	Oishi A, Hirayama H, Hanada T, Yasaka T, Pardini C, Anselmo L. 2004. Assessment of collision risk to electrodynamic tether used for de-orbiting. In:Proceedings of 55th International Astronautical Congress, Vancouver, Canada.
[73]	Okawa Y, Kitamura S, Kawamoto S. 2007. An experimental study on carbon nanotube cathodes for elec-trodynamic tether propulsion. Acta Astronautica, 61:989-994.
[74]	Pardini C, Hanada T, Krisko P H. 2009. Benefits and risks of using electrodynamic tethers to de-orbit spacecraft. Acta Astronautica, 64:571-588.
[75]	Pardini C, Hanada T, Krisko P H, Anselmo L, Hirayama H. 2007. Are de-orbiting missions possible using electrodynamic tethers? Task review from the space debris perspective. Acta Astronautica, 60:916-929.
[76]	Pearson J. 2010. The electrodynamic debris eliminator(EDDE) removing debris in space. The Bent of Tau Beta Pi, spring:17-21.
[77]	Pearson J, Carroll J, Levin E, Oldson J, Hausgen P. 2003. Overview of the electrodynamic delivery express(EDDE). In:Proceedings of 39th AIAA/ASME/SAE/ASEE Joint Propulsion Conference and Exhibit, Huntsville, USA.
[78]	Pearson J, Levin E, Carroll J A, Oldson J C. 2004. Orbital maneuvering with spinning electrodynamic tethers. In:Proceedings of 2nd International Energy Conversion Engineering Conference, Providence, USA.
[79]	Peláez J, Andrés Y N. 2005a. Dynamic stability of electrodynamic tethers in inclined elliptical orbits.Journal of Guidance, Control, and Dynamics, 28:611-622.
[80]	Peláez J, Lorenzini E C. 2005b. Libration control of electrodynamic tethers in inclined orbit. Journal of Guidance, Control, and Dynamics, 28:269-278.
[81]	Peláez J, Lara M. 2003. Periodic solutions in electrodynamic tethers on inclined orbits. Journal of Guidance, Control, and Dynamics, 26:395-406.
[82]	Peláez J, Lorenzini E C, Lopez-Rebollal O, Ruiz M. 2000. A new kind of instability of electrodynamic tethers. In:Proceedings of AAS/AIAA Space Flight Mechanics Meeting, Clearwater, USA.
[83]	Peláez J, Ruiz M, López-Rebollal O, Lorenzini E C, Cosmo M L. 2002. Two-bar model for the dynamics and stability of electrodynamic tethers. Journal of Guidance, Control, and Dynamics, 25:1125-1135.
[84]	Peláez J, Sanjurjo M. 2006a. Generator regime of self-balanced electrodynamic bare tethers. Journal of Spacecraft and Rockets, 43:1359-1369.
[85]	Peláez J, Sanjurjo M. 2006b. Self-balanced electrodynamic tehters for space debris mitigation. In:Proceed-ings of 57th International Astronautical Congress, Valencia, Spain.
[86]	Peláez J, Sanjurjo M, Fontdecabe J. 2004. Satellite deorbiting using a self balanced electrodynamic tether.In:Proceedings of 55th International Astronautical Congress, Vancouver, Canada.
[87]	Rasmussen C E, Banks P M. 1988. Theory of the electrodynamic tether. Advances in Space Research, 8:203-211.
[88]	Robertson M J. 2005. Command generation and control of momentum exchange electrodynamic reboost tethered satellite.[Final Report of Graduate Student Researchers Program]. Washington D.C:National Aeronautics and Space Administration.
[89]	Sabey N, Tragesser S. 2008. Effects of libration on general electrodynamic tether orbital maneuvers. In:Proceedings of AIAA/AAS Astrodynamics Specialist Conference and Exhibit, Honolulu, USA.
[90]	Samanta Roy R I, Hastings D E, Ahedo E. 1992. Systems analysis of electrodynamics tethers. Journal of Spacecraft and Rockets, 29:415-424.
[91]	San H. 2002. Orbital maneuvering using electrodynamic tethers.[Master Thesis]. Dayton:Air Force Institute of Technology.
[92]	Sánchez-Arriaga G, Bombardelli C, Chen X. 2015. Impact of nonideal effects on bare electrodynamic tether performance. Journal of Propulsion and Power, 31:951-955.
[93]	Sanjurjo-Rivo M. 2009. Self balanced bare electrodynamic tethers. Space debris mitigation and other applications.[PhD Thesis]. Madrid:Universidad Politécnica de Madrid.
[94]	Sanjurjo-Rivo M, Peláez J. 2011. Energy analysis of bare electrodynamic tethers. Journal of Propulsion and Power, 27:246-256.
[95]	Sanjurjo-Rivo M, Scheeres D J, Peláez J. 2014. Jovian capture of a spacecraft with a self-balanced electro-dynamic bare tether. Journal of Spacecraft and Rockets, 51:1401-1412.
[96]	Sanmartín J R. 2010a. A review of electrodynamic tethers for science applications. Plasma Source Science and Technology, 19:34022-34028.
[97]	Sanmartín J R, Lorenzini E C, Martinez-Sanchez M. 2010b. Electrodynamic tether applications and con-straints. Journal of Spacecraft and Rockets, 47:442-456.
[98]	Sanmartín J R, Charro M. 2006a. Performance of electrodynamic tethers and ion thrusters against hybrid systems. Journal of Propulsion and Power, 22:698-700.
[99]	Sanmartín J R, Elaskar S A. 2006b. Efficiency of electrodynamic tether thrusters. Journal of Spacecraft and Rockets, 43:659-666.
[100]	Sanmartín J R, Lorenzini E C. 2005. Exploration of outer planets using tethers for power and propulsion.Journal of Propulsion and Power, 21:573-576.
[101]	Sanmartín J R, Martínez-Sánchez M, Ahedo E. 1993. Bare wire anodes for electrodynamic tethers. Journal of Propulsion and Power, 9:353-360.
[102]	Sasaki S, Oyama K I, Kawashima N, Watanabe Y, Obayashi T, Raitt W J, White A B, Banks P M, Williamson P R, Sharp W F, Yokota T, Hirao K. 1987. Results from a series of tethered rocket experi-ments. Journal of Spacecraft and Rockets, 24:444-453.
[103]	Schadegg M M, Russell R P, Lantoine G. 2015. Jovian orbit capture and eccentricity reduction using electrodynamic tether propulsion. Journal of Spacecraft and Rockets, 52:506-516.
[104]	Sedwick R J, Schweighart S A. 2002. Propellantless spin-up of tethered or electromagnetically coupled sparse apertures. In:Proceedings of SPIE, 4849:193-204.
[105]	Shiah A, Hwang K S, Wu S T, Stone N H. 1997. Three-dimensional simulation of current collection in space.Planetary and Space Science, 45:475-482.
[106]	Stevens R E. 2008a. Optimal control of electrodynamic tether satellites.[PhD Thesis]. Dayton:Air Force Institute of Technology.
[107]	Stevens R E, Wiesel W. 2008b. Large time scale optimal control of an electrodynamic tether satellite.Journal of Guidance, Control, and Dynamics, 31:1716-1727.
[108]	Stevens R E, Baker W P. 2009. Optimal control of a librating electrodynamic tether performing a multirev-olution orbit change. Journal of Guidance, Control, and Dynamics, 32:1497-1507.
[109]	Stone N H. 1996. Electrodynamic characteristics of the tethered satellite system during the TSS-1R mission.In:Proceedings of AIAA Space Programs and Technologies Conference, Huntsville, USA.
[110]	Stone N H, Gierow P A. 2001. A preliminary assessment of passive end-body plasma contactors. In:Proceedings of 39th Aerospace Sciences Meeting and Exhibit, Reno, USA.
[111]	Stone N H, Raitt W J, Wright K H. 1999. The TSS-1R electrodynamic tether experiment:scientific and technological results. Advances in Space Research, 24:1037-1045.
[112]	Tahara H, Nishio H, Onishi T. 2004. Basic study of electron collection by a bare tethered satellite. Vacuum, 73:455-460.
[113]	Takeichi N. 2006. Practical operation strategy for deorbit of an electrodynamic tethered system. Journal of Spacecraft and Rockets, 43:1283-1288.
[114]	Tortora P, Somenzi L, Iess L, Licata R. 2006. Small mission design for testing in-orbit an electrodynamic tether deorbiting system. Journal of Spacecraft and Rockets, 43:883-892.
[115]	Tragesser S G, San H. 2003. Orbital maneuvering with electrodynamic tethers. Journal of Guidance, Control, and Dynamics, 26:805-810.
[116]	Tyc G, Han R P S. 1995. Attitude dynamics investigation of the OEDIPUS-A tethered rocket payload.Journal of Spacecraft and Rockets, 32:133-141.
[117]	Valverde J, Escalona J L, Mayo J, Domínguez J. 2003. Dynamic analysis of a light structure in outer space-short electrodynamic tether. Multibody System Dynamics, 10:125-146.
[118]	Valverde J, van der Heijden G H M. 2010. Magnetically-induced buckling of a whirling conducting rod with applications to electrodynamic space tethers. Journal of Nonlinear Science, 20:309-339.
[119]	van Dijk A, Kruijff M, van der Heide E J, Lebreton J P. 2003. LeBRETON, a lightweight bare rotating tether system for Jovian atmospheric entry. In:Proceedings of 54th International Astronautical Congress of the International Astronautical Federation, the International Academy of Astronautics, and the International Institute of Space Law, Bremen, Germany.
[120]	Vannaroni G, Dobrowolny M, De Venuto F. 2001. Deorbiting with electrodynamic tethers comparison between different tether configurations. Space Debris, 1:159-172.
[121]	Vas I E, Kelly T J, Scarl E A. 2000. Space station reboost with electrodynamic tethers. Journal of Spacecraft and Rockets, 37:154-164.
[122]	Vaughn J A, Curtis L, Gilchrist B E. 2004. Review of the ProSEDS electrodynamic tether mission develop-ment. In:Proceedings of 40th AIAA/ASME/SAE/ASEE Joint Propulsion Conference and Exhibit, Fort Lauderdale, USA.
[123]	Viennet E, Steindl A, Troger H. 2005. Control of electrodynamic tether vibrations in space. Proceedings in Applied Mathematics and Mechanics, 5:141-142.
[124]	Vigneron F R, Schultz F, Jablonski A M, Tyc G. 1998. Tether deployment and trajectory modeling for the OEDIPUS missions. AIAA-98-4553.
[125]	Watanabe T, Makida T, Fujii H A, Kojima H, Singhose W. 2004. An application of input shaping for electrodynamic tether system. In:Proceedings of AIAA/AAS Astrodynamics Specialist Conference and Exhibit, Providence, USA.
[126]	Wen H, Jin D P, Hu H Y. 2008. Advances in dynamics and control of tethered satellite systems. Acta Mechanica Sinica, 24:229-241.
[127]	Williams J D, Sanmartin J R, Rand L P. 2012. Low work-function coating for an entirely propellantless bare electrodynamic tether. IEEE Transactions on Plasma Science, 40:1441-1445.
[128]	Williams P. 2005a. Optimal orbital transfer with electrodynamic tether. Journal of Guidance, Control, and Dynamics, 28:369-372.
[129]	Williams P. 2005b. Optimal orbital maneuvers using electrodynamic tethers. In:Proceedings of AAS/AIAA Astrodynamics Specialist Conference, Lake Tahoe, USA.
[130]	Williams P. 2006a. Periodic solutions of electrodynamic tethers under forced current variations. In:Pro-ceedings of AIAA/AAS Astrodynamics Specialist Conference and Exhibit, Keystone, USA.
[131]	Williams P. 2006b. Simple approach to orbital control using spinning electrodynamic tethers. Journal of Spacecraft and Rockets, 43:253-256.
[132]	Williams P. 2006c. Energy rate feedback for libration control of electrodynamic tethers. Journal of Guidance, Control, and Dynamics, 29:221-223.
[133]	Williams P. 2009. Libration control of electrodynamic tethers using predictive control with time-delayed feedback. Journal of Guidance, Control, and Dynamics, 32:1254-1268.
[134]	Williams P. 2010. Optimal control of electrodynamic tether orbit transfers using timescale separation.Journal of Guidance, Control, and Dynamics, 33:88-98.
[135]	Williams S D. 1999. Using an electrodynamic tethered satellite as anionospheric electric double probe to estimate tethered satellite motion and measure vertical electric field.[PhD Thesis]. Ann Arbor:Stanford University.
[136]	Yamaigiwa Y, Hiragi E, Kishimoto T. 2005. Dynamic behavior of electrodynamic tether deorbit system on elliptical orbit and its control by Lorentz force. Aerospace Science and Technology, 9:366-373.
[137]	Yu B S, Wen H, Jin D P. 2015. A new stabilization strategy for deployment of tethered satellite systems in three-dimensional space. Acta Mechanica(under review)
[138]	Zakrzhevslii A E, Pirozhenko A V. 2007. Motion parameters of an electrodynamic tether in orbit. Interna-tional Applied Mechanics, 43:335-343.
[139]	Zanutto D, Curreli D, Lorenzini E C. 2011. Stability of electrodynamic tethers in a three-body system.Journal of Guidance, Control, and Dynamics, 34:1441-1456.
[140]	Zeineh C F. 2005. Applications of an electrostatic high-voltage tether to radiation belt remediation.[Master Thesis]. Cambridge:Massachusetts Institute of Technology.
[141]	Zhong R, Zhu Z H. 2012. Dynamics of deorbiting of low earth orbit nano-satellites by bare electrodynamic tether. In:Proceedings of AIAA SPACE 2012 Conference and Exposition, Pasadena, USA.
[142]	Zhong R, Zhu Z H. 2013a. Dynamics of nanosatellite deorbit by bare electrodynamic tether in low earth orbit. Journal of Spacecraft and Rockets, 50:691-700.
[143]	Zhong R, Zhu Z H. 2013b. Nano-satellite deorbit by bare electrodynamic tether. In:Proceedings of AIAA Atmospheric Flight Mechanics Conference, Boston, USA.
[144]	Zhong R, Zhu Z H. 2013c. Libration dynamics and stability of electrodynamic tethers in satellite deorbit.Celestial Mechanics and Dynamical Astronomy, 116:279-298.
[145]	Zhong R, Zhu Z H. 2013d. Long term dynamics and optimal control of nano-satellite deorbit using a short electrodynamic tether. Advances in Space Research, 52:1530-1544.
[146]	Zhong R, Zhu Z H. 2013e. Hybrid optimal control based on current on-off regulation of a short electrodynamic tether. In:Proceedings of AIAA Space 2013 Conference and Expossition, San Diego, USA.
[147]	Zhong R, Zhu Z H. 2014. Optimal control of nanosatellite fast deorbit using electrodynamic tether. Journal of Guidance, Control, and Dynamics, 37:1182-1193.
[148]	Zhou X, Li J F, Baoyin H X, Zakirov V. 2006. Equilibrium control of electrodynamic tethered satellite systems in inclined orbits. Journal of Guidance, Control, and Dynamics, 29:1451-1454.
[149]	Zhu Z H, Zhong R. 2011. Deorbiting dynamics of electrodynamic tether. International Journal of Aerospace and Lightweight Structures, 1:47-66.