分布式卫星系统构形调整规划研究
|
摘要
利用特定的编队构形实现航天任务目标,是分布式卫星系统(DSS:DistributedSatellite System)的典型特征之一。DSS能够充分发挥现代微小卫星的技术优势,扩大微小卫星应用范围,提高系统的任务可靠性、抗毁性,有效降低航天任务成本。而这些优势的发挥均与DSS的恰当构形和构形调整能力密切相关。因此,构形调整技术成为DSS的关键技术之一。DSS的构形涵盖了位置构形和姿态构形两个方面,构形调整包括构形的捕获、保持、重构与机动。本文主要针对DSS的位置构形调整规划展开深入研究,主要内容与成果如下:
1.提出了基于多智能体(Multi Agent)协商的DSS构形保持自主规划方法。将DSS中的每个卫星表示为智能体——Agent,每个卫星Agent自主感知自身状态,规划自身的最优调整策略,同时给出调整的效果、代价、意愿等指标,然后各卫星Agent基于这些指标按既定的规则进行协商,来确定最终采用的调整策略。通过仿真分析表明,这种自主分布式规划和整体协同方法能有效处理构形保持规划这一复杂问题。多Agent协商为DSS的自主规划提供了有益的思路。
2.从单星调整到多星调整逐步深入地展开了DSS多冲量构形最优调整研究。对于单星构形调整问题,重点讨论了复杂期望构形约束的表达和处理,通过算例详细分析了不同优化方法和约束处理方式的适用性和优缺点,提出结合进化算法全局搜索优势和非线性规划的强局部搜索能力解决该问题的综合优化方法。对于复杂多星多冲量最优构形调整问题,重点考虑多星协同的指标,包括定义了燃料不平衡性降低系数,考虑了目标星位分配问题、碰撞避免问题和时间约束等,并采用提出的综合优化方法对示例问题进行了优化求解,得到了全局最优性和局部约束满足性能都很好的解,同时表明了建立的指标模型和提出的约束处理方法的有效性。
3.提出了DSS构形调整的分布式协同规划方法,将DSS构形最优调整问题划分为两层规划问题,即整体协同的星位分配与首星位相位优化的顶层规划和各星燃料最优调整的底层规划,通过响应面法实现顶层规划和底层规划之间的耦合及各卫星底层规划间的协同。顶层规划基于各卫星底层规划建立的响应面模型开展,然后在顶层规划的优化解附近增加抽样点并由底层规划优化求解,以获得更高精度的响应面模型,再基于新的响应面模型作顶层规划。这种重点探索有价值区域的迭代求解方式,在保证求解精度的同时,可大大节省计算开销。示例问题显示,分布式协同规划方法有效降低了问题求解复杂度和计算代价,明显提高了搜索效果。并且进一步通过各卫星自身优化子问题的并行执行,能够大大缩短求解时间。这为充分利用星上计算资源实现自主规划提供了有价值的技术途径。
4.采用分析力学方法研究DSS卫星间的相对运动,讨论了DSS相对运动的Hamilton力学建模与生成函数近似求解方法,分析了相对运动的Hamilton函数近似阶数对求解精度的影响。该方法的重要优势在于它能非常自然地适应椭圆轨道和考虑高阶摄动因素,而这些正是当前主流的牛顿力学方法(如Hill方程)研究DSS相对运动的技术瓶颈。通过圆参考轨道和椭圆参考轨道的两种DSS卫星相对运动构形调整算例检验了分析力学建模与求解方法的有效性。
5.基于考虑J_2项的DSS相对运动Hamilton力学模型和生成函数方法研究了DSS构形调整的最优控制问题,提出了求解最优控制两点边值问题的相对运动生成函数近似迭代方法。首先以较低的计算代价,获得最优控制Hamilton系统生成函数的低阶近似,得到一条近似的最优轨线,然后将最优控制Hamilton系统相对于近似最优轨线求“相对运动”,该“相对运动”仍具有Hamilton性质,利用这一“相对运动”的生成函数低阶近似,可以对近似最优轨线进行迭代修正,从而以计算代价较小的低阶近似逼近计算代价高得多的高阶近似的精度。对圆参考轨道和椭圆参考轨道下的两种DSS构形调整最优控制问题的求解表明该方法达到了较高的控制精度。
6.面向DSS对仿真验证的需求,提出了基于发布—订阅模式和数据分发服务的DSS运行仿真软件框架的设计方案,不仅支持进程间模型组件的互操作性和可重用性,而且支持进程内部模型组件的互操作性和可重用性,对同时包含强耦合和弱耦合模型、实时性要求随开发进程而不断提高的DSS运行仿真提供灵活支持。在设计的仿真软件框架基础上,部分实现了DSS动力学与控制仿真系统,并通过仿真验证了提出的高精度构形调整最优控制方法的有效性。
Utilizing given formation to accomplish mission goal is a representative characteristics of Distributed Satellite System (DSS). DSS takes good technical advantage of modern micro satellites, extends their applying area, increases mission reliability and damage resistibility, and decreases mission cost effectively, while these advantages of DSS are tightly correlated to proper formation and formation adjusting ability, so formation adjusting is one of the key technique of DSS. Formation of DSS includes position formation and attitude formation, and formation adjusting includes formation initialization, formation keeping, formation reconfiguration and formation maneuver. In this thesis, systematic research on formation adjusting planning was conduct, main contents and accomplishments are as follows:
1. Autonomous formation keeping planning method based on multi agent negotiation was proposed. Each satellite was mapped to an Agent, which autonomously percept its relative motion state and planned its own adjusting strategy, meanwhile put forward the effect, cost and inclination for its optimal adjustment. Then negotiation was conducted based on these criteria and given rules, such the adjusting strategy was selected. Simulation indicates that this mechanism of autonomous distributed planning and coordination accomplishes relative formation keeping task well, and multi agent negotiation provides a promising way for DSS autonomous formation planning.
2. Multi-impulse adjusting problem of DSS was systematically investigated from single satellite adjusting to multiple satellite adjusting. For single satellite adjusting, expression and handling of the complex expected formation constraint were discussed. Advantages and disadvantages of different optimization methods and constraint handling methods were analyzed through examples. After that, an integrated way of combining to global search ability of evolutionary algorithm and local search ability of traditional method was proposed. For complex multiple satellite adjusting, indexes of multiple satellite co-ordination were mainly discussed, including fuel inequality, target location assignment, collision avoidance and time constraint. Solving example problems, the integrated methods get excellent results in both global optimal and local constraint satisfaction, which shows the effectiveness of proposed indexes and methods.
3. Distributed collaborate planning method for DSS formation adjusting was put forward. Formation adjusting problem was divided into two layers planning, i.e. collaborating top planning with satellite location assignment and first satellite phase optimization, and bottom planning with single satellite fuel optimal adjusting. The coordination of multiple satellite bottom planning and the coupling of top and bottom planning were represented by response surface models (RSM). Top planning was conducted based on RSM built by bottom planning, then more samplings were computed by bottom planning around solution of top planning to built more accurate RSM, and new top planning was conducted. That iterative planning searches valuable region with high priority, thus saves computation greatly meanwhile ensures solution precision. Examples show that the method effectively reduces problem solving complexity and computing cost, and evidently improves searching result. By parallel execution of single satellite sub optimization, more computing time will be saved. This provides a valuable way for autonomous on-board planning.
4. Methods of Analytical Mechanics were used in the relative motion of DSS. Hamilton modeling and generating function method for relative motion were introduced. Approximation of Hamilton function for relative motion of satellite formation and its impact on modeling accuracy were interviewed. Advantages include that these methods adapt to elliptical orbit well, and take high order perturbations naturally, which are bottle necks of traditional methods of Newton Mechanics (such as, Hill's equations). By two adjusting problem of circular reference orbit and elliptic reference orbit respectively, effectiveness of the modeling and solving method was testified.
5. Optimal control of DSS formation adjusting based on Hamilton Mechanics and generating function method was investigated. An iterative way of solving the two-point boundary value problem induced by optimal control by relative motion generating function approximation was proposed. First low order approximation of generating function and approximate optimal trajectory were obtained. Then using low order approximation of generating function of Hamilton "relative motion" to the approximate optimal trajectory, improvement of the approximate optimal trajectory was iteratively made. In this way, high order approximation accuracy can be obtained by only using low order approximation, which is much cost effective in computing. Solving of a circular reference orbit problem and an elliptical reference orbit problem both reveals that high control precision is reached.
6. Aiming at the need of DSS simulation, a simulation software framework was designed. It adopt the data distributing service and the publish-subscribe mode. Cooperativity and reusability of both inter-process and inner-process simulation member were considered. So that an environment can be developed uniformly supporting DSS operation simulation, which contains both strong and weak coupling models, and has improving real time simulation requirements along with developing process. Based on the simulation software framework, a simulation system of DSS dynamics and control were partly implemented. And effectiveness of proposed high precision optimal control of DSS formation was testified.
1.提出了基于多智能体(Multi Agent)协商的DSS构形保持自主规划方法。将DSS中的每个卫星表示为智能体——Agent,每个卫星Agent自主感知自身状态,规划自身的最优调整策略,同时给出调整的效果、代价、意愿等指标,然后各卫星Agent基于这些指标按既定的规则进行协商,来确定最终采用的调整策略。通过仿真分析表明,这种自主分布式规划和整体协同方法能有效处理构形保持规划这一复杂问题。多Agent协商为DSS的自主规划提供了有益的思路。
2.从单星调整到多星调整逐步深入地展开了DSS多冲量构形最优调整研究。对于单星构形调整问题,重点讨论了复杂期望构形约束的表达和处理,通过算例详细分析了不同优化方法和约束处理方式的适用性和优缺点,提出结合进化算法全局搜索优势和非线性规划的强局部搜索能力解决该问题的综合优化方法。对于复杂多星多冲量最优构形调整问题,重点考虑多星协同的指标,包括定义了燃料不平衡性降低系数,考虑了目标星位分配问题、碰撞避免问题和时间约束等,并采用提出的综合优化方法对示例问题进行了优化求解,得到了全局最优性和局部约束满足性能都很好的解,同时表明了建立的指标模型和提出的约束处理方法的有效性。
3.提出了DSS构形调整的分布式协同规划方法,将DSS构形最优调整问题划分为两层规划问题,即整体协同的星位分配与首星位相位优化的顶层规划和各星燃料最优调整的底层规划,通过响应面法实现顶层规划和底层规划之间的耦合及各卫星底层规划间的协同。顶层规划基于各卫星底层规划建立的响应面模型开展,然后在顶层规划的优化解附近增加抽样点并由底层规划优化求解,以获得更高精度的响应面模型,再基于新的响应面模型作顶层规划。这种重点探索有价值区域的迭代求解方式,在保证求解精度的同时,可大大节省计算开销。示例问题显示,分布式协同规划方法有效降低了问题求解复杂度和计算代价,明显提高了搜索效果。并且进一步通过各卫星自身优化子问题的并行执行,能够大大缩短求解时间。这为充分利用星上计算资源实现自主规划提供了有价值的技术途径。
4.采用分析力学方法研究DSS卫星间的相对运动,讨论了DSS相对运动的Hamilton力学建模与生成函数近似求解方法,分析了相对运动的Hamilton函数近似阶数对求解精度的影响。该方法的重要优势在于它能非常自然地适应椭圆轨道和考虑高阶摄动因素,而这些正是当前主流的牛顿力学方法(如Hill方程)研究DSS相对运动的技术瓶颈。通过圆参考轨道和椭圆参考轨道的两种DSS卫星相对运动构形调整算例检验了分析力学建模与求解方法的有效性。
5.基于考虑J_2项的DSS相对运动Hamilton力学模型和生成函数方法研究了DSS构形调整的最优控制问题,提出了求解最优控制两点边值问题的相对运动生成函数近似迭代方法。首先以较低的计算代价,获得最优控制Hamilton系统生成函数的低阶近似,得到一条近似的最优轨线,然后将最优控制Hamilton系统相对于近似最优轨线求“相对运动”,该“相对运动”仍具有Hamilton性质,利用这一“相对运动”的生成函数低阶近似,可以对近似最优轨线进行迭代修正,从而以计算代价较小的低阶近似逼近计算代价高得多的高阶近似的精度。对圆参考轨道和椭圆参考轨道下的两种DSS构形调整最优控制问题的求解表明该方法达到了较高的控制精度。
6.面向DSS对仿真验证的需求,提出了基于发布—订阅模式和数据分发服务的DSS运行仿真软件框架的设计方案,不仅支持进程间模型组件的互操作性和可重用性,而且支持进程内部模型组件的互操作性和可重用性,对同时包含强耦合和弱耦合模型、实时性要求随开发进程而不断提高的DSS运行仿真提供灵活支持。在设计的仿真软件框架基础上,部分实现了DSS动力学与控制仿真系统,并通过仿真验证了提出的高精度构形调整最优控制方法的有效性。
Utilizing given formation to accomplish mission goal is a representative characteristics of Distributed Satellite System (DSS). DSS takes good technical advantage of modern micro satellites, extends their applying area, increases mission reliability and damage resistibility, and decreases mission cost effectively, while these advantages of DSS are tightly correlated to proper formation and formation adjusting ability, so formation adjusting is one of the key technique of DSS. Formation of DSS includes position formation and attitude formation, and formation adjusting includes formation initialization, formation keeping, formation reconfiguration and formation maneuver. In this thesis, systematic research on formation adjusting planning was conduct, main contents and accomplishments are as follows:
1. Autonomous formation keeping planning method based on multi agent negotiation was proposed. Each satellite was mapped to an Agent, which autonomously percept its relative motion state and planned its own adjusting strategy, meanwhile put forward the effect, cost and inclination for its optimal adjustment. Then negotiation was conducted based on these criteria and given rules, such the adjusting strategy was selected. Simulation indicates that this mechanism of autonomous distributed planning and coordination accomplishes relative formation keeping task well, and multi agent negotiation provides a promising way for DSS autonomous formation planning.
2. Multi-impulse adjusting problem of DSS was systematically investigated from single satellite adjusting to multiple satellite adjusting. For single satellite adjusting, expression and handling of the complex expected formation constraint were discussed. Advantages and disadvantages of different optimization methods and constraint handling methods were analyzed through examples. After that, an integrated way of combining to global search ability of evolutionary algorithm and local search ability of traditional method was proposed. For complex multiple satellite adjusting, indexes of multiple satellite co-ordination were mainly discussed, including fuel inequality, target location assignment, collision avoidance and time constraint. Solving example problems, the integrated methods get excellent results in both global optimal and local constraint satisfaction, which shows the effectiveness of proposed indexes and methods.
3. Distributed collaborate planning method for DSS formation adjusting was put forward. Formation adjusting problem was divided into two layers planning, i.e. collaborating top planning with satellite location assignment and first satellite phase optimization, and bottom planning with single satellite fuel optimal adjusting. The coordination of multiple satellite bottom planning and the coupling of top and bottom planning were represented by response surface models (RSM). Top planning was conducted based on RSM built by bottom planning, then more samplings were computed by bottom planning around solution of top planning to built more accurate RSM, and new top planning was conducted. That iterative planning searches valuable region with high priority, thus saves computation greatly meanwhile ensures solution precision. Examples show that the method effectively reduces problem solving complexity and computing cost, and evidently improves searching result. By parallel execution of single satellite sub optimization, more computing time will be saved. This provides a valuable way for autonomous on-board planning.
4. Methods of Analytical Mechanics were used in the relative motion of DSS. Hamilton modeling and generating function method for relative motion were introduced. Approximation of Hamilton function for relative motion of satellite formation and its impact on modeling accuracy were interviewed. Advantages include that these methods adapt to elliptical orbit well, and take high order perturbations naturally, which are bottle necks of traditional methods of Newton Mechanics (such as, Hill's equations). By two adjusting problem of circular reference orbit and elliptic reference orbit respectively, effectiveness of the modeling and solving method was testified.
5. Optimal control of DSS formation adjusting based on Hamilton Mechanics and generating function method was investigated. An iterative way of solving the two-point boundary value problem induced by optimal control by relative motion generating function approximation was proposed. First low order approximation of generating function and approximate optimal trajectory were obtained. Then using low order approximation of generating function of Hamilton "relative motion" to the approximate optimal trajectory, improvement of the approximate optimal trajectory was iteratively made. In this way, high order approximation accuracy can be obtained by only using low order approximation, which is much cost effective in computing. Solving of a circular reference orbit problem and an elliptical reference orbit problem both reveals that high control precision is reached.
6. Aiming at the need of DSS simulation, a simulation software framework was designed. It adopt the data distributing service and the publish-subscribe mode. Cooperativity and reusability of both inter-process and inner-process simulation member were considered. So that an environment can be developed uniformly supporting DSS operation simulation, which contains both strong and weak coupling models, and has improving real time simulation requirements along with developing process. Based on the simulation software framework, a simulation system of DSS dynamics and control were partly implemented. And effectiveness of proposed high precision optimal control of DSS formation was testified.
引文
[1]林来兴主编.微小卫星编队飞行及应用论文集.北京:国家高技术航天领域专家委员会微小卫星技术组,2000
[2]http://www.aiaa.org/tc/sos/ws2001/docs/Distributed_Spacecraft_Systems_(Jesse _Leitner).pdf
[3]Das A,Cobb R,Stallard M.TechSat21,a revolutionary concept in distributed space-based sensing.AIAA paper 98-5255,Sept.1998
[4]Chien S,Sherwood R,Zetocha P,et al.The TechSat-21 autonomous space science Agent.AAMAS,02,July 15-19,2002,Bologna,Italy
[5]Sherwood R,Zetocha P.The Techsat21 autonomous sciencecraft constellation demonstration.Proceedings of I-SAIRAS 2001,Montreal,Cannada,June 2001
[6]梁甸农.小卫星分布式雷达系统总体研究.分布式航天器新概念及其应用研讨会,北京,2004.10
[7]Luu K,Maurice M,Mike S,et al.University Nanosatellite distributed satellite capabilities to support TechSat 21.AIAA/USU Small Satellite Conference,Logan UT,23-26 Aug.1999
[8]Kim L,Maurice M,Alok Das,et al.Microsatellite and formation flying technologies on University Nanosatellites.AIAA Space Technology Conference,Albuquerque,NM,28-30,Sep,1999
[9]Weidow D,Bristow J.NASA/DOD University Nanosatellite for distributed spacecraft control.AIAA/USU Small Satellite Conference,Logan UT,23-26Aug.1999
[10]Underhill B,Friedman A,et al.Three Comer Sat constellations.AIAA/USU Small Satellite Conference,Logan UT,23-26 Aug.1999
[11]Chien S,Engelhardt B,Knight R,et al.Onboard autonomy on the Three Comer Sat Mission,International Symposium on Artificial Intelligence Robotics and Automation in Space,Montreal,Canada,June 2001
[12]Mark E C,Schetter T.Formation flying mission for UW Dawgstar satellite.0-7803-5486-5/00(?)2000 IEEE.
[13]Charles S,Bela F.The Ionosphereic nanosatellite formation,exploring space weather.16th AIAA/USU Small Satellite Conference,2002
[14]http://www.space.com/missionlaunches/missions/eol_sat_001114.html
[15]Steve C,Rob S,Daniel T,et al.Autonomous science on the EO-1 mission.In Proceedings of International Symposium on Artificial Intelligence Robotics and Automation in Space(i-SAIRAS),Nara,Japan,May 2003
[16]Robert T,Jonathan H.ORION:a microsatellite testbed for formation flying.12th AIAA/USU Conference on Small Satellite,1998
[17]Jonathan P H,Robert T,et al.ORION:a low cost demonstration of formation flying in space using GPS.AIAA-98-4398
[18]Andrew R,Gokhan I,et al.Spacecraft formation flying control design for the ORION mission.AIAA-99-4266
[19]Peter C E,Tom S B,Stephen E H.MUSTANG:a technology demonstrator for formation flying and distributed systems technologies in space.Proceedings of the 5th International Conference on Dynamics and Control of Structures and Systems in Space,Cambridge,England,2002
[20]John D,Sandro M,etc.The implementation of the Cluster Ⅱ constellation.Acta Astronautica 54(2004):657-669
[21]http://ants.gsfc.nasa.gov/
[22]http://op.gfz-potsdam.de/grace
[23]Beichman C.A.,Woolf N.J.,and Lindensmith C.A.The terrestrial planet finder:A NASA origins program to search for habitable planets.JPL Publication 99-3,May 1999
[24]http://cloudsat.atmos.colostate.edu/
[25]Fiedler H,.Krieger G,Mittermayer J.Comparison of Several Bostatic SAR Configuration for Spaceborne SAR Interferometry,IGARSS01,2001
[26]A.Moreira et al.TanDEM-X:A TerraSAR-X Add-on Satellite for Single-Pass SAR Interferometry.IGARSS,Achorage,USA,2004
[27]贾俊明.太空作战研究[D].国防大学博士论文,2000
[28]M.Martín-Neira,C.Mavrocordatos,E.Colzi,Study of a Constellation of Bistatic Radar Altimeters for Mesoscale Ocean Applications.IEEE Trans.on Geosc.and R.S.,36,1898-1904,1998
[29]http://www.weblab.dlr.de/rbrt/GpsNav/Prisma/Prisma.html
[30]http://www.mdacorporation.corn/news/pr/pr2002021401.html
[31]Maurice Martin,Howard Schlossberg,Joe Mitola,Dave Weidow,Andrew Peffer,Richard Blomquist,Mark Campbell,Christopher Hall,Elaine Hansen,Stephen Horan,Chris Kitts,Frank Redd,HelenReed,Harlan Spence,Bob Twiggs.University Nanosatellite Program.IAF SYMPOSIUM,REDONDO BEACH,CA,APRIL 19-21,1999
[32]Massonnet,D.,Thouvenot,E.,Ramongassie,S.,Phalippou,L.,2000.A Wheel of Passive Radar Microsats for Upgrading Existing SAR Projects.In:Proceedings of lGARSS 2000,Honolulu,Hawaii,USA.
[33]Leither J.Distributed spacecraft systems technology development program,NASA,Goddard Space Flight Center,April 27,2001
[34]Ticker R L,Azzolini J D.2000 Survey of distributed spacecraft technologies and architectures for NASA's earth science enterprise in the 2010-2025 timeframe.NASA/TM-2000-209964,2000
[35]孟云鹤.近地轨道航天器编队飞行控制与应用研究.国防科技大学工学博士学位论文,2006
[36]Tillerson M,Inalhan G,Jonathan P H.Coordination and control of distributed spacecraft systems using convex optimization techniques.International Journal of Robust Nonlinear Control.2002,12:207-242
[37]Burns R,Craig A,et al.TechSat21:formation design,control and simulation.Aerospace conference proceedings,2000 IEEE,19-25
[38]Clohessy W H,Wiltshire R S.Terminal guidance system for satellite rendezvous.Journal of the Aerospace Sciences,1960,27(5):653-674
[39]Van J,Mugellesi R.Analysis models for relative motion under constant thrust.Journal of Guidance,Control and Dynamics.Vol.13(4),July-August,1990
[40]Kyle T A,Hanspeter S,Gim D W.Gravitational perturbations,nonlinearity and circular orbit on formation flying control strategies.AAS 00-012
[41]Schweighart S,Sedwick R.Development and analysis of a high fidelity lineared J2 model for satellite formation flying.In AIAA Space Conference,2001
[42]S.A.Schweighart,R.J.Sedwick.A Perturbative Analysis of Geopotential Disturbances for Satellite Formation Flying.IEEE Aerospace Conference,2001.
[43]Andrew Sparks.Satellite formation keeping control in the presence of gravity penurhations[c].Proceeding of the American Control Conference,Chicago,Illninois.June 2000
[44]Gokhan Inalhan,Michael Tillerson,Jonathan P.How.Relative Dynamics and Control of Spacecraft Formations in Eccentric Orbits.JOURNAL OF GUIDANCE,CONTROL,AND DYNAMICS.Vol.25,No.1,January-February 2002
[45]Michael Tillerson,Louis Breger,and Jonathan P.How.Distributed Coordination and Control of Formation Flying Spacecraft
[46]张振民,许滨,张珩等.航人器相对运动与Hill方程的适用性分析[J].中国空间科学技术,2002年第2期
[47]S R Vadali,K.T.Alfriend.S Vaddi.HILL'S EQUATIONS.MEAN ORBITAL ELEMENTs,AND FORMATION FLYING OF SATELLITES[J].PAPER AAS 00-258
[48]Dong-Woo Gim and Kyle T.Alfriend THE STATE TRANSITION MATRIX OF RELATIVE MOTION FOR THE PERTURBED NON-CIRCULAR REFERENCE ORBIT[J].PaperAAS 01-222
[49]Samuel Schweighart,Raymond Sedwick.A Perturbative Analysis of Geopotential Disturbances for Satellite Cluster Formation Flying[C].0-7803-6599-2/01 @2001 IEEE
[50] Samuel A. Schweighart. Development and Analysis of High Fidelity Linearized J2 Model for Satellite Formation Flying[D]. Thesis of Master of Science,Massachusetts Institude ofTechnology, June 2001
[51] Mark B. Milam, Nicolas Petit, and Richard M. Murray. CONSTRAINED TRAJECTORY GENERATION FOR MICRO-SATELLITE FORMATION FLYING. AIAA 2001-4030
[52] Olfati R S, Murry R M. Distributed cooperative control of multiple vehicle formations using structural potential functions. In IFAC World Congress,Barcelona, Spain, 2002.
[53] Wang P K C, Hadaegh F Y. Coordination and control of multiple microspacecraft moving in formation. J. Astro. Sci., Vol. 44(3), 315-355,1996
[54] Beard R, Hadaegh F. Constellation templates: an approach to autonomous formation flying. In World Automation Congress, Anchorage, AK, 1998
[55] Beard R. Architecture and algorithms for constellation control. Technical Report,Jet Propulsion Laboratory, California Institute of Technology, CA 91009, March 1998
[56] Anderson M R, Robbins A C. Formation flight as a cooperative game. In AIAA Guidance, Navigation and control Conference, Boston, MA, 1998,244-251
[57] Randal W B, Jonathan L, Fred Y H. A coordination architecture for spacecraft formation flying. IEEE Trans. Contr. Syst. Tech., Vol.9, No.6,777-790,2001
[58] Randal W B, Jonathan L, Fred Y H. A feedback architecture for formation control. ACC99-IEEE 1338
[59] Randal W B, Wynn S, Rick F. A hierarchical coordination shceme for satellite formation initialization. AIAA-98-4225
[60] Nadler M R. Virtual formation control laws for maintenance and reconfiguration of satellite formation. M. S. thesis. Faculty of Aerospace Engineering, Haifa,Israel, Nov. 2002
[61] Kang W, Sparks A, Siva B. Multi-satellite formation and reconfiguration.Proceedings of the American Control Conference, Chicago, Illinois, June 2000
[62] Wei K, Spark A, Siva B. Coordinated control of multisatellite systems. Journal of Guidance, Control and Dynamics. Vol.24(2), March-April, 2001
[63] Wang P, Hadaegh F. Minimum-fuel formation reconfiguration of multiple free-flying spacecraft. Journal of Astronautics Science, Vol. 47, no. 1, 2, 77-102,1999
[64] Guikirpal S, Fred Y H. Autonomous path planning for formation flying applications. Jet Propulsion Laboratory. 2002
[65]Emilio F.Quasi-Random algorithms for real-time spacecraft motion planning and coordination.International Astronautical Congress.Houston,TX,2002
[66]Li S,Mehra R,Smith R,Beard R.Multi-spacecraft trajectory optimization and control using genetic algorithm techniques.IEEE,2000
[67]Thomas Philip Runarsson,Xin Yao.Stochastic Ranking for Constrained Evolutionary Optimization[J].IEEE Transactions on Evolutionary Computation (S1089-778X),2000,4(3):284-294.
[68]Beard R,Hadaegh F.Finite thrust control for satellite formation flying with state constraints.In American Control Conference.1999,4383-4387
[69]Beard R,Hadaegh F.Fuel optimization for unconstrained rotaions of spacecraft formations.Journal of Astronautics Science.Vol.47,no.3,259-273,1999
[70]王兆魁,张育林.一种分布式卫星构形变换路径规划方法.航天控制,2006,24(1):4-8
[71]Sun D,Zhou F Q,Zhou J.Trajectory planning and control for satellite formation flying maneuver of leaving and joining,AIAA Guidance,Navigation and Control Conference and Exhibit,11-14 August,2003,Austin,Texal.AIAA 2003-5588
[72]Richards A,How J.Plume avoidance maneuver planning using mixed integer linear programming.AIAA-2001-4091
[73]Richards A,Schouwenaars T,How J.Spacecraft trajactory planning with collision avoidance constraints.Journal of Guidance control and dynamics.Vol.25(4),2002
[74]张玉锟.卫星编队飞行的动力学与控制技术研究.工学博士学位论文.国防科学技术大学研究生院,2002.10
[75]Guibout V M,Scheeres D J.Formation flight with generating functions:solving the relative boundary value proble.AIAA paper 2002-4639,Aug.2002
[76]Guibout V M,Scheeres D J.Solving relative two-point boundary problems:spacecraft formation flight trasfers application.Journal of Guidance,Control and Dynamics.Vol.27(4),July-August,2004
[77]M.Mesbahi and F.Y.Hadaegh.Formation flying of multiple spacecraft via graphs,matrix inequalities,and switching.Journal of Guidance,Control and Dynamics,2001,24(3):369-377
[78]Jorge E.Tierno.Control of Low Earth Orbit Satellite Clusters.39th IEEE Conference on Decision and Control,2000
[79]W.Kang,N.Xi,Andy Sparks.Theory and Applications of Formation Control in a Perceptive Referenced Frame.39th IEEE Conference on Decision and Control,2000
[80]Robertson,G.Inalhan,and J.P.How.Formation control strategies for a separated spacecraft interferometer. Proceeding American American Control Conference, 1999.4142-4146
[81] Andrew Robertsony, Gokhan Inalhanz, and Jonathan P. How. Spacecraft Formation Flying Control Design For The Orion Mission. Paper AIAA-99-4266,1999
[82] Schaub, H., Vadali, S. R., and Alfriend, K. T.. Spacecraft Formation Flying Control Using Mean Orbit Elements. AAS/AIAA Astrodynamics Specialist Conference, Girdwood, Alaska, Aug. 1999
[83] Hyung-Chul Lim, Hyo-Choong Bang, Kwan-Dong Park, Woo-Kyoung Lee.OPTIMAL FORMATION TRAJECTORY-PLANNING USING PARAMETER OPTIMIZATION TECHNIQUE. J. Astron. Space Sci. 21(3), 209-220 (2004)
[84] R. W. Beard, T. W. McLain, and F. Y. Hadaegh. Fuel equalized retargeting for separated spacecraft interferometry. Proceedings of 1998 American Control Conference, Philadelphia, PA, June 1998
[85] R. W. Beard and Fred Y. Hadaegh. Fuel Optimized Rotation for Satellite Formations in Free Space. American Control Conference, 1999. 2975-2979
[86] R. W. Beard, T. W. McLain, and F. Y. Hadaegh. Fuel optimization for constrained rotation of spacecraft formations. Journal of Guidance, Control and Dynamics, 2000,23(1): 1-8
[87] Mark B. Milam, Nicolas Petit and Richard M. Murray. Constrained Trajectory Generation for Microsatellite Formation Flying. 2001 AIAA Guidance,Navigation and Control Conference, 2001
[88] S. R. Vadali, and S. Vaddi .Orbit Establishment For Formation Flying of Satellites. Advances in the Astronautical Sciences, Vol. 105, Part I, 2000, pp.181-194,AAS 00-111.
[89] S.R.Vadali, H.Schaub, and K.T.Alfiend,.,Initial Conditions and Fuel-Optimal Control for Formation Flying of Satellites, Proceedings of the AIAA GN&C Conference, Aug.9 - 12 1999. Paper No. AIAA 99-4265.
[90] H.Schaub, K. T. Alfriend, Impulsive Spacecraft Formation Flying Control to Establish Specific Mean Orbit Elements. In AAS Space Mechanics Specialist Meeting, Clearwater, Florida, Jan 23 - 26,2000, Paper No. AAS-00-113.
[91] Mailhe, L.Schiff, C.Hughes, S. Formation Flying In Highly Elliptical Orbits Initializing the Formation.Proceedings of the International Symposium on Space.Dynamics, Biarritz, France, CNES, June 26-30 2000.
[92] G. Der.An Elegant State Transition Matrix. The Journal of the Astronautical Sciences,Vol. 45, No. 4, October-December 1997, pp. 371-390
[93] Mailhe, L.Schiff, C.Hughes.Initialization of Formation Flying Using Primer Vector Theory, in Int. Symp. Formation Flying missions. & Tech., Toulouse,France, 2002.
[94] Ulybyshev, Y.Long-Term Formation Keeping of Satellite Constellation Using Linear Quadratic Controller.Journal of Guidance, Control, and Dynamics, Vol.21,No. 1,1998,pp. 109-115.
[95] Kapila, V., Sparks, A. G., Buffington, J. M., and Yan, Q.,Spacecraft Formation Flying: Dynamics and Control. Proceedings of the American Control Conference,San Diego, California, June 1999, pp. 4137 - 4141.
[96] H. Schaub, S. R. Vadali, J. L. Junkins and K. T. Alfriend. Spacecraft Formation Flying Control Using Mean Orbit Elements.In AAS Astrodynamics Specialist Conference, Greenwood, Alaska, Aug. 16-18,1999, Paper No. AAS 99-310.
[97] H.Schaub, and K. T.Alfriend.Hybrid Cartesian and Orbit Element Feedback Law for Formation Flying Spacecraft.AIAA Guidance, Navigation and Control Conference, Denver, CO, Aug.2000, Paper No. 2000-4131.
[98] de Queiroz, M.S., Kapila, V., and Yan, Q.Adaptive Nonlinear Control of Multiple Spacecraft Formation Flying.Journal of Guidance, Control, and Dynamics, Vol. 23, No.3,2000, pp. 385-390.
[99] Tan, Z., Bainum, P. M., and Strong, A.The Implementation of Maintaining Constant Distance Between Satellites in Elliptic Orbits.AAS Spaceflight Mechanics Meeting, Clearwater, Florida, Jan. 2000,Paper No. 00-141.
[100] Naasz, B. J.Classical Element Feedback Control for Spacecraft Orbital Maneuvers, Master' s thesis, Virginia Polytechnic Institute and State University,Blacksburg, VA,May 2002.
[101] Bo J. Naasz, Christopher D. Karlgaardy, Christopher D. Hall. Application of Several Control Techniques for the Ionospheric Observation Satellite Formation.AAS 02-188
[102] S. Vadali, S. Vaddi, K. Naik, K. Alfriend.Control of Satellite Formation.AIAA GN&C Conference, Aug 2001.
[103] S.R.Vadali,S.S.Vaddi,K.T.Alfriend.An Intelligent Control Concept for Formation Flying satellites.Int.J.Robust Nonlinear Control 2002;12:97-115.
[104] Wie, B.Space Vehicle Dynamics and Control.Published by AIAA, 1998, pp.286-302.
[105] M. Tillerson, G. Inalhan, J. How, Coordination and Control of Distributed Spacecraft Systems Using Convex Optimization Techniques, Master' s Thesis,Department of Aeronautics and Astronautics, Massachusetts Institute of Technology 2002.
[106] M. Tillerson, J. How.Advance Guidance Algorithms for Spacecraft Formation Flying.2002 American Control Conference, Anchorage, AK, May8-10, 2002,Piscataway, NJ, Institute of Electrical and Electronics Engineers,2002.
[107]《现代应用数学手册》编委会。现代应用数学手册:运筹学与最优化理论卷.清华大学出版社,1998.
[108]Oliver Junge,Sina Ober-Blobaum.Optimal Reconfiguration of Formation Flying Satellites
[109]R.W.Beard and Fred Y.Hadaegh.Fuel Optimization for Unconstrainted Rotation of Spacecraft Formations.American Control Conference,1999.2975-2979.
[110]Mark E.Campbell.Planning Algorithm for Large Satellite Clusters.AIAA Guidance,Navigation,and Control Conference and Exhibit,5-8 August 2002,Monterey,California.AIAA 2002-4958
[111]R.W.Beard,Jonathan Lawton,Fred Y.Hadaegh,A Coordination Architecture for Spacecraft Formation Control.IEEE Transactions on Control Systems Technology,VOL.9,NO.6,November 2001
[112]P.K.C.Wang and F.Y.Hadaegh.Minimum-fuel formation reconfiguration of multiple free-flying spacecraft,Univ.California,Los Angeles,ENG 97-187,Dec.1997.
[113]Wang,P.K.C.,and Hadaegh,F.Y.Optimal Formation Reconfiguration for Multiple Spacecraft.Proceeding of the AIAA Guidance,Navigation,and Control Conference,AIAA,Reston,VA,1998,pp.686 - 696.
[114]Irvin,D.J.Study of Linear vs.Nonlinear Control Techniques for the Reconfiguration of Satellite formations.Master' s thesis Air Force Inst.of Tech.,Wright-Patterson AFB,OH.School of Engineering 2001
[115]T.A.Lovell;S.G.Tragesser.Analysis of the Reconfiguration and Maintenance of Close Spacecraft Formations.AAS/AIAA Space Flight Mechanics Meeting Feb 9-13,2003 Ponce,Puerto Rico
[116]Junge,O.Optimal Reconfiguration of Formation Flying Satellites.IEEE Conference on Decision and Control and European Control Conference ECC 2005,Seville,Spain.
[117]Guibout,V.M.,and Scheeres,D.J.Formation Flight with Generating Functions:Solving the Relative Boundary Value Problem.AIAA Paper 2002-4639,Aug.2002.
[118]Guibout V.M.,Scheeres D.J..Solving Relative Two-Point Boundary Value Problems:Spacecraft Formation Flight Transfers Application.Journal of Guidance,Control,and Dynamics.Vol.27,No.4,July - August 2004
[119]Massad M.,Armellin R.and Ercoli-Finzi A..Optimal Trajectory Generation and Control for Reconfiguration Maneuvers of Formation Flying using Low-thrust Propulsion.14th AAS/AIAA Space Flight Mechanics Meeting,8-12 February 2004.Maui.Haw
[120]Armellin R.Massari M.,Ercoli-Finzi A.,Optimal Formation Flying Reconfiguration and Station Keeping Maneuvers using Low-thrust Propulsion.18th International Symposium on Space Flight Dynamics,11-15 October 2004,Munich,Germany
[121]Kong,E.M.C.,and Miller,D.W.,Optimal Spacecraft Re-Orientation for Earth Orbiting Clusters:Applications to TechSat 21,51st International Astronautical Congress,IAF Paper No.IAF-00-A.4.06,2-6 October 2000.
[122]Nadler M.R.Virtual-Formation Control Lams for Maintenance and Reconfiguration of Satellite Formation.M.S.Thesis,Faculty of Aerospace Engineering Technion-Π T,Haifa,Israel Nov.2002
[123]李滨,尤政,张晨光.混合式微小卫星编队飞行控制仿真系统设计.系统仿真学报,2006,18(6):1509-1511
[124]尤政,李滨,张晓敏,杨春宝.微小卫星编队飞行仿真平台设计.清华大学学报(自然科学版),2006,46(2):199-202
[125]E.M.C.Kong.Spacecraft Formation Flight Exploiting Potential Fields,Ph.D.thesis,Massachusetts Institute of Technology,February 2002.
[126]Goddard Space Flight Center Distributed Spacecraft Technology Program.Formation Navigation,Control,and Mission Design Algorithms[R].NASA Research Announcement:NRA-03-GSFC/AETD-01(March 14,2003)
[127]Mark E.Campbell,Vincetz Knagenhjelm,Jeffrey Yingling.Flight software Development for the ION-F Formation Flying Mission[C].2001 IEEE
[128]Philip Ferguson,Trent Yang.New Formation flying testbed for analyzing distributed estimation and control architectures[C]AIAA Guidance,Navigation,and Control Conference,vol 3,Monterey.California,USA,2002,p.2083-2093
[129]Jesse Leitner.A Hardware-in-the-loop Testbed for Spacecraft Formation Flying Applications[C].IEEE Aerospace conference.Vol.2 P615-620.Big Sky,Montana USA Mar.10-17,2001
[130]Sid Saraf,Aaron Knoll,Frederic Pelletier,Mak Tafazoli.INVESTIGATING FORMATION FLYING AND COTS IN AN INTEGRATED SIMULATION ENVIRONMENT.Canadian Space Agency
[131]Daniel P.Scharf,Fred Y.Hadaegh,and Scott R.Ploen.A Survey of Spacecraft Formation Flying Guidance and Control(Part Ⅰ):Guidance.Proceedings of the American Control Conference,Denver,Colorado June 4-6,2003.
[132]Daniel P.Scharf,Fred Y.Hadaegh,and Scott R.Ploen.A Survey of Spacecraft Formation Flying Guidance and Control(Part Ⅱ):Control.Proceedings of the American Control Conference,Denver,Colorado June 4-6,2003.
[133]张健.分布式卫星自主构形重构技术研究[D].国防科技大学研究生院博士学位论文,2006年10月.
[134]张健,戴金海.基于Agent的卫星自主控制体系结构评述.上海航天,2006,22(1):31-34.
[135]秦世引,燕飞.小卫星及其星座的智能自主控制系统.中国空间科学技术,2004.10:15-21.
[136]Michael Wooldridge著,石纯一,张伟,徐晋晖等译.多Agent系统引论,电子工业出版社,2003.10.
[137]韩广才,李鸿,商大中主编.分析力学.哈尔滨:哈尔滨工程大学出版社,2003.
[138]张启仁著.经典力学.北京:科学出版社,2002.
[139]商大中编.动力分析基础.哈尔滨:哈尔滨工程大学出版社,1999.
[140]王振发编.分析力学.北京:科学出版社,2002.
[141]陈滨编著.分析动力学.北京:北京大学出版社,1987.
[142]Vincent M.Guibout.The Hamilton-Jacobi Theory for Solving Tow-Point Boundary Value Problems:Theory and Numerics with Application to Spacecraft Formation Flight,Optimal Control and The Study of Phase Space Structure[D].Ph.D thesis,The University of Michigan.
[143]Vincent M.Guibout,New Methods for Spacecraft Formation Design.
[144]张玉锟.卫星编队飞行的动力学与控制技术研究[D].国防科技大学研究生院博士学位论文,2002年10月.
[145]陈琪锋.飞行器分布式协同进化多学科设计优化方法研究[D].国防科技大学研究生院博士学位论文,2003年4月.
[146]Melih Papila,Raphael T.Haftka.Response Surface Approximations:Noise,Error Repair,and Modeling Errors.AIAA Journal,2000,38(12):2336-2343.
[147]肖峰编著.人造地球卫星轨道摄动理论.长沙:国防科技大学出版社,1995.
[148]王兆魁.分布式卫星动力学建模与控制研究[D].国防科技大学研究生院博士学位论文,2006.
[149]Paul Zetocha,et al.Commanding and Controlling Satellite Clusters[J].AI IN SPACE.NOVEMBER/DECEMBER.2000.10-15.
[150]Princeton Satellite Systems,Inc.ObjectAgent V2.0 User's Guide[M].2002:25-44;54-55;108-112.
[151]Derek M.Surka,Margarita C.Brito,Christopher G.Harvey.The Real-Time ObjectAgent Software Architecture for Distributed Satellite Systems.2001
[152]John P.Enright.A Flight Software Development and Simulation Framework for Advanced Space Systems[D].Doctor thesis,Massachusetts Institute of Technol-ogy,2002.
[153]Garett A.Sohl,Santi Udornkesmalee,Jennifer L.Kellogg.Distributed Simulation for Formation Flying Applications[C].AIAA Modeling and Simulation Technologies Conference and Exhibit,San Francisco,California,2005.AIAA 2005-6494
[154]Bryan J.Martin,Garett.A Sohl.HYDRA:High-Speed Simulation Architecture for Precision Spacecraft Formation Simula-tion[C].AIAA Modeling and Simulation Technologies Conference and Ex-hibit,Austin,Texas,2003.
[155]尤政,李滨,张晓敏,杨春宝.微小卫星编队飞行仿真平台设计.清华大学学报(自然科学版),2006,46(2):199-202
[156]李滨,尤政,张晨光.混合式微小卫星编队飞行控制仿真系统设计.系统仿真学报,2006,18(6):1509-1511
[157]李新洪,曾国强,王兆魁.分布式卫星编队仿真系统.计算机仿真,2005,22(12):38-40
[158]张占月,曾国强.卫星编队飞行动力学与控制仿真软件设计与实现.装备指挥技术学院学报,2004,15(4):55-59
[159]李绍燕,惠天舒,陈宗基.局域网分布实时仿真的实现技术研究.系统仿真学报,2004.16(7).1489-1493.
[160]巨永锋,李登峰主编.最优控制.重庆:重庆大学出版社,2005.
[161]Chandeok Park,Daniel J.Scheeres.A Generation Function for Optimal Feedback Control Laws that Satisfies the General Boundary Conditions of A System.
[162]Chandeok Park,Vincent M.Guibout,Daniel J.Scheeres.Solving Optimal Continuous Thrust Rendezvous Problems with Generating Functions.Journal of Guidance,Control and Dynamics.2006,29(2):321-331.
[163]Daniel J.Scheeres,Chandeok Park,Vincent M.Guibout.Solving optimal control problems with generating functions.AAS 03-575.
[164]李济生.人造地球卫星精密轨道确定,解放军出版社,1995
[165]刘良栋等.卫星控制系统仿真技术.北京:宇航出版社,2003,12.
[166]黄福铭等.航天器飞行控制与仿真.北京:国防工业出版社,2004.2.
[167]刘林.航天器轨道理论.北京:国防工业出版社,2000.
[2]http://www.aiaa.org/tc/sos/ws2001/docs/Distributed_Spacecraft_Systems_(Jesse _Leitner).pdf
[3]Das A,Cobb R,Stallard M.TechSat21,a revolutionary concept in distributed space-based sensing.AIAA paper 98-5255,Sept.1998
[4]Chien S,Sherwood R,Zetocha P,et al.The TechSat-21 autonomous space science Agent.AAMAS,02,July 15-19,2002,Bologna,Italy
[5]Sherwood R,Zetocha P.The Techsat21 autonomous sciencecraft constellation demonstration.Proceedings of I-SAIRAS 2001,Montreal,Cannada,June 2001
[6]梁甸农.小卫星分布式雷达系统总体研究.分布式航天器新概念及其应用研讨会,北京,2004.10
[7]Luu K,Maurice M,Mike S,et al.University Nanosatellite distributed satellite capabilities to support TechSat 21.AIAA/USU Small Satellite Conference,Logan UT,23-26 Aug.1999
[8]Kim L,Maurice M,Alok Das,et al.Microsatellite and formation flying technologies on University Nanosatellites.AIAA Space Technology Conference,Albuquerque,NM,28-30,Sep,1999
[9]Weidow D,Bristow J.NASA/DOD University Nanosatellite for distributed spacecraft control.AIAA/USU Small Satellite Conference,Logan UT,23-26Aug.1999
[10]Underhill B,Friedman A,et al.Three Comer Sat constellations.AIAA/USU Small Satellite Conference,Logan UT,23-26 Aug.1999
[11]Chien S,Engelhardt B,Knight R,et al.Onboard autonomy on the Three Comer Sat Mission,International Symposium on Artificial Intelligence Robotics and Automation in Space,Montreal,Canada,June 2001
[12]Mark E C,Schetter T.Formation flying mission for UW Dawgstar satellite.0-7803-5486-5/00(?)2000 IEEE.
[13]Charles S,Bela F.The Ionosphereic nanosatellite formation,exploring space weather.16th AIAA/USU Small Satellite Conference,2002
[14]http://www.space.com/missionlaunches/missions/eol_sat_001114.html
[15]Steve C,Rob S,Daniel T,et al.Autonomous science on the EO-1 mission.In Proceedings of International Symposium on Artificial Intelligence Robotics and Automation in Space(i-SAIRAS),Nara,Japan,May 2003
[16]Robert T,Jonathan H.ORION:a microsatellite testbed for formation flying.12th AIAA/USU Conference on Small Satellite,1998
[17]Jonathan P H,Robert T,et al.ORION:a low cost demonstration of formation flying in space using GPS.AIAA-98-4398
[18]Andrew R,Gokhan I,et al.Spacecraft formation flying control design for the ORION mission.AIAA-99-4266
[19]Peter C E,Tom S B,Stephen E H.MUSTANG:a technology demonstrator for formation flying and distributed systems technologies in space.Proceedings of the 5th International Conference on Dynamics and Control of Structures and Systems in Space,Cambridge,England,2002
[20]John D,Sandro M,etc.The implementation of the Cluster Ⅱ constellation.Acta Astronautica 54(2004):657-669
[21]http://ants.gsfc.nasa.gov/
[22]http://op.gfz-potsdam.de/grace
[23]Beichman C.A.,Woolf N.J.,and Lindensmith C.A.The terrestrial planet finder:A NASA origins program to search for habitable planets.JPL Publication 99-3,May 1999
[24]http://cloudsat.atmos.colostate.edu/
[25]Fiedler H,.Krieger G,Mittermayer J.Comparison of Several Bostatic SAR Configuration for Spaceborne SAR Interferometry,IGARSS01,2001
[26]A.Moreira et al.TanDEM-X:A TerraSAR-X Add-on Satellite for Single-Pass SAR Interferometry.IGARSS,Achorage,USA,2004
[27]贾俊明.太空作战研究[D].国防大学博士论文,2000
[28]M.Martín-Neira,C.Mavrocordatos,E.Colzi,Study of a Constellation of Bistatic Radar Altimeters for Mesoscale Ocean Applications.IEEE Trans.on Geosc.and R.S.,36,1898-1904,1998
[29]http://www.weblab.dlr.de/rbrt/GpsNav/Prisma/Prisma.html
[30]http://www.mdacorporation.corn/news/pr/pr2002021401.html
[31]Maurice Martin,Howard Schlossberg,Joe Mitola,Dave Weidow,Andrew Peffer,Richard Blomquist,Mark Campbell,Christopher Hall,Elaine Hansen,Stephen Horan,Chris Kitts,Frank Redd,HelenReed,Harlan Spence,Bob Twiggs.University Nanosatellite Program.IAF SYMPOSIUM,REDONDO BEACH,CA,APRIL 19-21,1999
[32]Massonnet,D.,Thouvenot,E.,Ramongassie,S.,Phalippou,L.,2000.A Wheel of Passive Radar Microsats for Upgrading Existing SAR Projects.In:Proceedings of lGARSS 2000,Honolulu,Hawaii,USA.
[33]Leither J.Distributed spacecraft systems technology development program,NASA,Goddard Space Flight Center,April 27,2001
[34]Ticker R L,Azzolini J D.2000 Survey of distributed spacecraft technologies and architectures for NASA's earth science enterprise in the 2010-2025 timeframe.NASA/TM-2000-209964,2000
[35]孟云鹤.近地轨道航天器编队飞行控制与应用研究.国防科技大学工学博士学位论文,2006
[36]Tillerson M,Inalhan G,Jonathan P H.Coordination and control of distributed spacecraft systems using convex optimization techniques.International Journal of Robust Nonlinear Control.2002,12:207-242
[37]Burns R,Craig A,et al.TechSat21:formation design,control and simulation.Aerospace conference proceedings,2000 IEEE,19-25
[38]Clohessy W H,Wiltshire R S.Terminal guidance system for satellite rendezvous.Journal of the Aerospace Sciences,1960,27(5):653-674
[39]Van J,Mugellesi R.Analysis models for relative motion under constant thrust.Journal of Guidance,Control and Dynamics.Vol.13(4),July-August,1990
[40]Kyle T A,Hanspeter S,Gim D W.Gravitational perturbations,nonlinearity and circular orbit on formation flying control strategies.AAS 00-012
[41]Schweighart S,Sedwick R.Development and analysis of a high fidelity lineared J2 model for satellite formation flying.In AIAA Space Conference,2001
[42]S.A.Schweighart,R.J.Sedwick.A Perturbative Analysis of Geopotential Disturbances for Satellite Formation Flying.IEEE Aerospace Conference,2001.
[43]Andrew Sparks.Satellite formation keeping control in the presence of gravity penurhations[c].Proceeding of the American Control Conference,Chicago,Illninois.June 2000
[44]Gokhan Inalhan,Michael Tillerson,Jonathan P.How.Relative Dynamics and Control of Spacecraft Formations in Eccentric Orbits.JOURNAL OF GUIDANCE,CONTROL,AND DYNAMICS.Vol.25,No.1,January-February 2002
[45]Michael Tillerson,Louis Breger,and Jonathan P.How.Distributed Coordination and Control of Formation Flying Spacecraft
[46]张振民,许滨,张珩等.航人器相对运动与Hill方程的适用性分析[J].中国空间科学技术,2002年第2期
[47]S R Vadali,K.T.Alfriend.S Vaddi.HILL'S EQUATIONS.MEAN ORBITAL ELEMENTs,AND FORMATION FLYING OF SATELLITES[J].PAPER AAS 00-258
[48]Dong-Woo Gim and Kyle T.Alfriend THE STATE TRANSITION MATRIX OF RELATIVE MOTION FOR THE PERTURBED NON-CIRCULAR REFERENCE ORBIT[J].PaperAAS 01-222
[49]Samuel Schweighart,Raymond Sedwick.A Perturbative Analysis of Geopotential Disturbances for Satellite Cluster Formation Flying[C].0-7803-6599-2/01 @2001 IEEE
[50] Samuel A. Schweighart. Development and Analysis of High Fidelity Linearized J2 Model for Satellite Formation Flying[D]. Thesis of Master of Science,Massachusetts Institude ofTechnology, June 2001
[51] Mark B. Milam, Nicolas Petit, and Richard M. Murray. CONSTRAINED TRAJECTORY GENERATION FOR MICRO-SATELLITE FORMATION FLYING. AIAA 2001-4030
[52] Olfati R S, Murry R M. Distributed cooperative control of multiple vehicle formations using structural potential functions. In IFAC World Congress,Barcelona, Spain, 2002.
[53] Wang P K C, Hadaegh F Y. Coordination and control of multiple microspacecraft moving in formation. J. Astro. Sci., Vol. 44(3), 315-355,1996
[54] Beard R, Hadaegh F. Constellation templates: an approach to autonomous formation flying. In World Automation Congress, Anchorage, AK, 1998
[55] Beard R. Architecture and algorithms for constellation control. Technical Report,Jet Propulsion Laboratory, California Institute of Technology, CA 91009, March 1998
[56] Anderson M R, Robbins A C. Formation flight as a cooperative game. In AIAA Guidance, Navigation and control Conference, Boston, MA, 1998,244-251
[57] Randal W B, Jonathan L, Fred Y H. A coordination architecture for spacecraft formation flying. IEEE Trans. Contr. Syst. Tech., Vol.9, No.6,777-790,2001
[58] Randal W B, Jonathan L, Fred Y H. A feedback architecture for formation control. ACC99-IEEE 1338
[59] Randal W B, Wynn S, Rick F. A hierarchical coordination shceme for satellite formation initialization. AIAA-98-4225
[60] Nadler M R. Virtual formation control laws for maintenance and reconfiguration of satellite formation. M. S. thesis. Faculty of Aerospace Engineering, Haifa,Israel, Nov. 2002
[61] Kang W, Sparks A, Siva B. Multi-satellite formation and reconfiguration.Proceedings of the American Control Conference, Chicago, Illinois, June 2000
[62] Wei K, Spark A, Siva B. Coordinated control of multisatellite systems. Journal of Guidance, Control and Dynamics. Vol.24(2), March-April, 2001
[63] Wang P, Hadaegh F. Minimum-fuel formation reconfiguration of multiple free-flying spacecraft. Journal of Astronautics Science, Vol. 47, no. 1, 2, 77-102,1999
[64] Guikirpal S, Fred Y H. Autonomous path planning for formation flying applications. Jet Propulsion Laboratory. 2002
[65]Emilio F.Quasi-Random algorithms for real-time spacecraft motion planning and coordination.International Astronautical Congress.Houston,TX,2002
[66]Li S,Mehra R,Smith R,Beard R.Multi-spacecraft trajectory optimization and control using genetic algorithm techniques.IEEE,2000
[67]Thomas Philip Runarsson,Xin Yao.Stochastic Ranking for Constrained Evolutionary Optimization[J].IEEE Transactions on Evolutionary Computation (S1089-778X),2000,4(3):284-294.
[68]Beard R,Hadaegh F.Finite thrust control for satellite formation flying with state constraints.In American Control Conference.1999,4383-4387
[69]Beard R,Hadaegh F.Fuel optimization for unconstrained rotaions of spacecraft formations.Journal of Astronautics Science.Vol.47,no.3,259-273,1999
[70]王兆魁,张育林.一种分布式卫星构形变换路径规划方法.航天控制,2006,24(1):4-8
[71]Sun D,Zhou F Q,Zhou J.Trajectory planning and control for satellite formation flying maneuver of leaving and joining,AIAA Guidance,Navigation and Control Conference and Exhibit,11-14 August,2003,Austin,Texal.AIAA 2003-5588
[72]Richards A,How J.Plume avoidance maneuver planning using mixed integer linear programming.AIAA-2001-4091
[73]Richards A,Schouwenaars T,How J.Spacecraft trajactory planning with collision avoidance constraints.Journal of Guidance control and dynamics.Vol.25(4),2002
[74]张玉锟.卫星编队飞行的动力学与控制技术研究.工学博士学位论文.国防科学技术大学研究生院,2002.10
[75]Guibout V M,Scheeres D J.Formation flight with generating functions:solving the relative boundary value proble.AIAA paper 2002-4639,Aug.2002
[76]Guibout V M,Scheeres D J.Solving relative two-point boundary problems:spacecraft formation flight trasfers application.Journal of Guidance,Control and Dynamics.Vol.27(4),July-August,2004
[77]M.Mesbahi and F.Y.Hadaegh.Formation flying of multiple spacecraft via graphs,matrix inequalities,and switching.Journal of Guidance,Control and Dynamics,2001,24(3):369-377
[78]Jorge E.Tierno.Control of Low Earth Orbit Satellite Clusters.39th IEEE Conference on Decision and Control,2000
[79]W.Kang,N.Xi,Andy Sparks.Theory and Applications of Formation Control in a Perceptive Referenced Frame.39th IEEE Conference on Decision and Control,2000
[80]Robertson,G.Inalhan,and J.P.How.Formation control strategies for a separated spacecraft interferometer. Proceeding American American Control Conference, 1999.4142-4146
[81] Andrew Robertsony, Gokhan Inalhanz, and Jonathan P. How. Spacecraft Formation Flying Control Design For The Orion Mission. Paper AIAA-99-4266,1999
[82] Schaub, H., Vadali, S. R., and Alfriend, K. T.. Spacecraft Formation Flying Control Using Mean Orbit Elements. AAS/AIAA Astrodynamics Specialist Conference, Girdwood, Alaska, Aug. 1999
[83] Hyung-Chul Lim, Hyo-Choong Bang, Kwan-Dong Park, Woo-Kyoung Lee.OPTIMAL FORMATION TRAJECTORY-PLANNING USING PARAMETER OPTIMIZATION TECHNIQUE. J. Astron. Space Sci. 21(3), 209-220 (2004)
[84] R. W. Beard, T. W. McLain, and F. Y. Hadaegh. Fuel equalized retargeting for separated spacecraft interferometry. Proceedings of 1998 American Control Conference, Philadelphia, PA, June 1998
[85] R. W. Beard and Fred Y. Hadaegh. Fuel Optimized Rotation for Satellite Formations in Free Space. American Control Conference, 1999. 2975-2979
[86] R. W. Beard, T. W. McLain, and F. Y. Hadaegh. Fuel optimization for constrained rotation of spacecraft formations. Journal of Guidance, Control and Dynamics, 2000,23(1): 1-8
[87] Mark B. Milam, Nicolas Petit and Richard M. Murray. Constrained Trajectory Generation for Microsatellite Formation Flying. 2001 AIAA Guidance,Navigation and Control Conference, 2001
[88] S. R. Vadali, and S. Vaddi .Orbit Establishment For Formation Flying of Satellites. Advances in the Astronautical Sciences, Vol. 105, Part I, 2000, pp.181-194,AAS 00-111.
[89] S.R.Vadali, H.Schaub, and K.T.Alfiend,.,Initial Conditions and Fuel-Optimal Control for Formation Flying of Satellites, Proceedings of the AIAA GN&C Conference, Aug.9 - 12 1999. Paper No. AIAA 99-4265.
[90] H.Schaub, K. T. Alfriend, Impulsive Spacecraft Formation Flying Control to Establish Specific Mean Orbit Elements. In AAS Space Mechanics Specialist Meeting, Clearwater, Florida, Jan 23 - 26,2000, Paper No. AAS-00-113.
[91] Mailhe, L.Schiff, C.Hughes, S. Formation Flying In Highly Elliptical Orbits Initializing the Formation.Proceedings of the International Symposium on Space.Dynamics, Biarritz, France, CNES, June 26-30 2000.
[92] G. Der.An Elegant State Transition Matrix. The Journal of the Astronautical Sciences,Vol. 45, No. 4, October-December 1997, pp. 371-390
[93] Mailhe, L.Schiff, C.Hughes.Initialization of Formation Flying Using Primer Vector Theory, in Int. Symp. Formation Flying missions. & Tech., Toulouse,France, 2002.
[94] Ulybyshev, Y.Long-Term Formation Keeping of Satellite Constellation Using Linear Quadratic Controller.Journal of Guidance, Control, and Dynamics, Vol.21,No. 1,1998,pp. 109-115.
[95] Kapila, V., Sparks, A. G., Buffington, J. M., and Yan, Q.,Spacecraft Formation Flying: Dynamics and Control. Proceedings of the American Control Conference,San Diego, California, June 1999, pp. 4137 - 4141.
[96] H. Schaub, S. R. Vadali, J. L. Junkins and K. T. Alfriend. Spacecraft Formation Flying Control Using Mean Orbit Elements.In AAS Astrodynamics Specialist Conference, Greenwood, Alaska, Aug. 16-18,1999, Paper No. AAS 99-310.
[97] H.Schaub, and K. T.Alfriend.Hybrid Cartesian and Orbit Element Feedback Law for Formation Flying Spacecraft.AIAA Guidance, Navigation and Control Conference, Denver, CO, Aug.2000, Paper No. 2000-4131.
[98] de Queiroz, M.S., Kapila, V., and Yan, Q.Adaptive Nonlinear Control of Multiple Spacecraft Formation Flying.Journal of Guidance, Control, and Dynamics, Vol. 23, No.3,2000, pp. 385-390.
[99] Tan, Z., Bainum, P. M., and Strong, A.The Implementation of Maintaining Constant Distance Between Satellites in Elliptic Orbits.AAS Spaceflight Mechanics Meeting, Clearwater, Florida, Jan. 2000,Paper No. 00-141.
[100] Naasz, B. J.Classical Element Feedback Control for Spacecraft Orbital Maneuvers, Master' s thesis, Virginia Polytechnic Institute and State University,Blacksburg, VA,May 2002.
[101] Bo J. Naasz, Christopher D. Karlgaardy, Christopher D. Hall. Application of Several Control Techniques for the Ionospheric Observation Satellite Formation.AAS 02-188
[102] S. Vadali, S. Vaddi, K. Naik, K. Alfriend.Control of Satellite Formation.AIAA GN&C Conference, Aug 2001.
[103] S.R.Vadali,S.S.Vaddi,K.T.Alfriend.An Intelligent Control Concept for Formation Flying satellites.Int.J.Robust Nonlinear Control 2002;12:97-115.
[104] Wie, B.Space Vehicle Dynamics and Control.Published by AIAA, 1998, pp.286-302.
[105] M. Tillerson, G. Inalhan, J. How, Coordination and Control of Distributed Spacecraft Systems Using Convex Optimization Techniques, Master' s Thesis,Department of Aeronautics and Astronautics, Massachusetts Institute of Technology 2002.
[106] M. Tillerson, J. How.Advance Guidance Algorithms for Spacecraft Formation Flying.2002 American Control Conference, Anchorage, AK, May8-10, 2002,Piscataway, NJ, Institute of Electrical and Electronics Engineers,2002.
[107]《现代应用数学手册》编委会。现代应用数学手册:运筹学与最优化理论卷.清华大学出版社,1998.
[108]Oliver Junge,Sina Ober-Blobaum.Optimal Reconfiguration of Formation Flying Satellites
[109]R.W.Beard and Fred Y.Hadaegh.Fuel Optimization for Unconstrainted Rotation of Spacecraft Formations.American Control Conference,1999.2975-2979.
[110]Mark E.Campbell.Planning Algorithm for Large Satellite Clusters.AIAA Guidance,Navigation,and Control Conference and Exhibit,5-8 August 2002,Monterey,California.AIAA 2002-4958
[111]R.W.Beard,Jonathan Lawton,Fred Y.Hadaegh,A Coordination Architecture for Spacecraft Formation Control.IEEE Transactions on Control Systems Technology,VOL.9,NO.6,November 2001
[112]P.K.C.Wang and F.Y.Hadaegh.Minimum-fuel formation reconfiguration of multiple free-flying spacecraft,Univ.California,Los Angeles,ENG 97-187,Dec.1997.
[113]Wang,P.K.C.,and Hadaegh,F.Y.Optimal Formation Reconfiguration for Multiple Spacecraft.Proceeding of the AIAA Guidance,Navigation,and Control Conference,AIAA,Reston,VA,1998,pp.686 - 696.
[114]Irvin,D.J.Study of Linear vs.Nonlinear Control Techniques for the Reconfiguration of Satellite formations.Master' s thesis Air Force Inst.of Tech.,Wright-Patterson AFB,OH.School of Engineering 2001
[115]T.A.Lovell;S.G.Tragesser.Analysis of the Reconfiguration and Maintenance of Close Spacecraft Formations.AAS/AIAA Space Flight Mechanics Meeting Feb 9-13,2003 Ponce,Puerto Rico
[116]Junge,O.Optimal Reconfiguration of Formation Flying Satellites.IEEE Conference on Decision and Control and European Control Conference ECC 2005,Seville,Spain.
[117]Guibout,V.M.,and Scheeres,D.J.Formation Flight with Generating Functions:Solving the Relative Boundary Value Problem.AIAA Paper 2002-4639,Aug.2002.
[118]Guibout V.M.,Scheeres D.J..Solving Relative Two-Point Boundary Value Problems:Spacecraft Formation Flight Transfers Application.Journal of Guidance,Control,and Dynamics.Vol.27,No.4,July - August 2004
[119]Massad M.,Armellin R.and Ercoli-Finzi A..Optimal Trajectory Generation and Control for Reconfiguration Maneuvers of Formation Flying using Low-thrust Propulsion.14th AAS/AIAA Space Flight Mechanics Meeting,8-12 February 2004.Maui.Haw
[120]Armellin R.Massari M.,Ercoli-Finzi A.,Optimal Formation Flying Reconfiguration and Station Keeping Maneuvers using Low-thrust Propulsion.18th International Symposium on Space Flight Dynamics,11-15 October 2004,Munich,Germany
[121]Kong,E.M.C.,and Miller,D.W.,Optimal Spacecraft Re-Orientation for Earth Orbiting Clusters:Applications to TechSat 21,51st International Astronautical Congress,IAF Paper No.IAF-00-A.4.06,2-6 October 2000.
[122]Nadler M.R.Virtual-Formation Control Lams for Maintenance and Reconfiguration of Satellite Formation.M.S.Thesis,Faculty of Aerospace Engineering Technion-Π T,Haifa,Israel Nov.2002
[123]李滨,尤政,张晨光.混合式微小卫星编队飞行控制仿真系统设计.系统仿真学报,2006,18(6):1509-1511
[124]尤政,李滨,张晓敏,杨春宝.微小卫星编队飞行仿真平台设计.清华大学学报(自然科学版),2006,46(2):199-202
[125]E.M.C.Kong.Spacecraft Formation Flight Exploiting Potential Fields,Ph.D.thesis,Massachusetts Institute of Technology,February 2002.
[126]Goddard Space Flight Center Distributed Spacecraft Technology Program.Formation Navigation,Control,and Mission Design Algorithms[R].NASA Research Announcement:NRA-03-GSFC/AETD-01(March 14,2003)
[127]Mark E.Campbell,Vincetz Knagenhjelm,Jeffrey Yingling.Flight software Development for the ION-F Formation Flying Mission[C].2001 IEEE
[128]Philip Ferguson,Trent Yang.New Formation flying testbed for analyzing distributed estimation and control architectures[C]AIAA Guidance,Navigation,and Control Conference,vol 3,Monterey.California,USA,2002,p.2083-2093
[129]Jesse Leitner.A Hardware-in-the-loop Testbed for Spacecraft Formation Flying Applications[C].IEEE Aerospace conference.Vol.2 P615-620.Big Sky,Montana USA Mar.10-17,2001
[130]Sid Saraf,Aaron Knoll,Frederic Pelletier,Mak Tafazoli.INVESTIGATING FORMATION FLYING AND COTS IN AN INTEGRATED SIMULATION ENVIRONMENT.Canadian Space Agency
[131]Daniel P.Scharf,Fred Y.Hadaegh,and Scott R.Ploen.A Survey of Spacecraft Formation Flying Guidance and Control(Part Ⅰ):Guidance.Proceedings of the American Control Conference,Denver,Colorado June 4-6,2003.
[132]Daniel P.Scharf,Fred Y.Hadaegh,and Scott R.Ploen.A Survey of Spacecraft Formation Flying Guidance and Control(Part Ⅱ):Control.Proceedings of the American Control Conference,Denver,Colorado June 4-6,2003.
[133]张健.分布式卫星自主构形重构技术研究[D].国防科技大学研究生院博士学位论文,2006年10月.
[134]张健,戴金海.基于Agent的卫星自主控制体系结构评述.上海航天,2006,22(1):31-34.
[135]秦世引,燕飞.小卫星及其星座的智能自主控制系统.中国空间科学技术,2004.10:15-21.
[136]Michael Wooldridge著,石纯一,张伟,徐晋晖等译.多Agent系统引论,电子工业出版社,2003.10.
[137]韩广才,李鸿,商大中主编.分析力学.哈尔滨:哈尔滨工程大学出版社,2003.
[138]张启仁著.经典力学.北京:科学出版社,2002.
[139]商大中编.动力分析基础.哈尔滨:哈尔滨工程大学出版社,1999.
[140]王振发编.分析力学.北京:科学出版社,2002.
[141]陈滨编著.分析动力学.北京:北京大学出版社,1987.
[142]Vincent M.Guibout.The Hamilton-Jacobi Theory for Solving Tow-Point Boundary Value Problems:Theory and Numerics with Application to Spacecraft Formation Flight,Optimal Control and The Study of Phase Space Structure[D].Ph.D thesis,The University of Michigan.
[143]Vincent M.Guibout,New Methods for Spacecraft Formation Design.
[144]张玉锟.卫星编队飞行的动力学与控制技术研究[D].国防科技大学研究生院博士学位论文,2002年10月.
[145]陈琪锋.飞行器分布式协同进化多学科设计优化方法研究[D].国防科技大学研究生院博士学位论文,2003年4月.
[146]Melih Papila,Raphael T.Haftka.Response Surface Approximations:Noise,Error Repair,and Modeling Errors.AIAA Journal,2000,38(12):2336-2343.
[147]肖峰编著.人造地球卫星轨道摄动理论.长沙:国防科技大学出版社,1995.
[148]王兆魁.分布式卫星动力学建模与控制研究[D].国防科技大学研究生院博士学位论文,2006.
[149]Paul Zetocha,et al.Commanding and Controlling Satellite Clusters[J].AI IN SPACE.NOVEMBER/DECEMBER.2000.10-15.
[150]Princeton Satellite Systems,Inc.ObjectAgent V2.0 User's Guide[M].2002:25-44;54-55;108-112.
[151]Derek M.Surka,Margarita C.Brito,Christopher G.Harvey.The Real-Time ObjectAgent Software Architecture for Distributed Satellite Systems.2001
[152]John P.Enright.A Flight Software Development and Simulation Framework for Advanced Space Systems[D].Doctor thesis,Massachusetts Institute of Technol-ogy,2002.
[153]Garett A.Sohl,Santi Udornkesmalee,Jennifer L.Kellogg.Distributed Simulation for Formation Flying Applications[C].AIAA Modeling and Simulation Technologies Conference and Exhibit,San Francisco,California,2005.AIAA 2005-6494
[154]Bryan J.Martin,Garett.A Sohl.HYDRA:High-Speed Simulation Architecture for Precision Spacecraft Formation Simula-tion[C].AIAA Modeling and Simulation Technologies Conference and Ex-hibit,Austin,Texas,2003.
[155]尤政,李滨,张晓敏,杨春宝.微小卫星编队飞行仿真平台设计.清华大学学报(自然科学版),2006,46(2):199-202
[156]李滨,尤政,张晨光.混合式微小卫星编队飞行控制仿真系统设计.系统仿真学报,2006,18(6):1509-1511
[157]李新洪,曾国强,王兆魁.分布式卫星编队仿真系统.计算机仿真,2005,22(12):38-40
[158]张占月,曾国强.卫星编队飞行动力学与控制仿真软件设计与实现.装备指挥技术学院学报,2004,15(4):55-59
[159]李绍燕,惠天舒,陈宗基.局域网分布实时仿真的实现技术研究.系统仿真学报,2004.16(7).1489-1493.
[160]巨永锋,李登峰主编.最优控制.重庆:重庆大学出版社,2005.
[161]Chandeok Park,Daniel J.Scheeres.A Generation Function for Optimal Feedback Control Laws that Satisfies the General Boundary Conditions of A System.
[162]Chandeok Park,Vincent M.Guibout,Daniel J.Scheeres.Solving Optimal Continuous Thrust Rendezvous Problems with Generating Functions.Journal of Guidance,Control and Dynamics.2006,29(2):321-331.
[163]Daniel J.Scheeres,Chandeok Park,Vincent M.Guibout.Solving optimal control problems with generating functions.AAS 03-575.
[164]李济生.人造地球卫星精密轨道确定,解放军出版社,1995
[165]刘良栋等.卫星控制系统仿真技术.北京:宇航出版社,2003,12.
[166]黄福铭等.航天器飞行控制与仿真.北京:国防工业出版社,2004.2.
[167]刘林.航天器轨道理论.北京:国防工业出版社,2000.