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《Journal of Astronautics》 2009-01
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Mathematical Problems in the Analysis and Control of Spatial Non-Keplerian Orbits

SHE Zhi-kun,LIU Tie-gang,ZHENG Zhi-ming(LMIB and Department of Mathematics,Beihang University,Beijing 100191,China)  
Currently,the research on analysis and optimal control of spatial non-Keplerian orbits becomes a very active topic.Through such research,we can analyze and realize free transitions of satellites among non-Keplerian orbits,arriving at expectation goals such as detective,anti-detective,interception,connection and so on.Since behaviors exhibited by spatial non-Keplerian orbits,in the viewpoint of Mathematics,have dynamical properties,based on our previous research results,we,therefore,in this paper provided a general mathematical model(that is,a dynamical-like system with parameters and constraints,i.e.,a hybrid system) for studying them.Based on this mathematical model,we further disclosed that detective,anti-detective,parametric adjustment and delay control actually correspond to four key mathematical problems in the research area on hybrid systems: stability analysis,safety verification,bifurcation and robust control,respectively.Based on this finding,we also proposed some primitive ideas for studying these problems.
【CateGory Index】: V412.41
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【References】
Chinese Journal Full-text Database 4 Hits
1 ZHANG Tuo GAO Xiaoguang FAN Hao School of Electronics and Information,Northwestern Polytechnical University,Xi'an 710129,China;The Study on Decision-making of the Maneuver in Satellite Orbits Based on Non-Keplerian[J];Aerospace Control;2012-02
2 SHE Zhi-kun,XUE Bai,CONG Yuan-liang,LIU Tie-gang,ZHENG Zhi-ming(LMIB and School of Mathematics and Systems Science,Beihang University,Beijing 100191,China);Mathematical Modeling and Numerical Solving of the Optimal Two-Impulse Rendezvous Problem[J];Journal of Astronautics;2010-01
3 Xue Bai She Zhikun Yu Jing Liu Tiegang Zheng Zhiming(School of Mathematics and Systems Science,Beihang University,Beijing 100191);Control on the Spacecraft Hovering Based on Hybrid Systems[J];Chinese Space Science and Technology;2010-02
4 Li Haoyang She Zhikun Xue Bai(School of Mathematics and Systems Science,Beihang University,Beijing 100191);Modeling and Analysis of Ground Physics Experiments on Orbit Movements Around the Earth[J];Chinese Space Science and Technology;2011-06
【Co-citations】
Chinese Journal Full-text Database 10 Hits
1 Ma Wenzhen Zheng Jianhua(Center for Space Science and Applied Research,Chinese Academy of Sciences,Beijing 100080,China)Gao Changsheng(School of Aerospace,Harbin Institute of Technology,Harbin 150001,China);Trajectories to the far side of the sun via gravity assists[J];Journal of Beijing University of Aeronautics and Astronautics;2006-08
2 Li Bo Jiao Zongxia (School of Automation Science and Electrical Engineering,Beijing University of Aeronautics and Astronautics,Beijing 100083,China);Aircraft landing gear system dynamic modeling and simulation[J];Journal of Beijing University of Aeronautics and Astronautics;2007-01
3 Li Mingtao Zheng Jianhua Yu Xizheng Gao Dong (Center for Space Science and Applied Research,Chinese Academy of Sciences,Beijing 100190,China);Two impulses transfer trajectory design for Sun-Earth libration point missions[J];Journal of Beijing University of Aeronautics and Astronautics;2009-07
4 Zhou Xudong Zhang Zhenpeng(School of Astronautics,Beijing University of Aeronautics and Astronautics,Beijing 100191,China);Program and scenario of manned spaceflight to Mars[J];Journal of Beijing University of Aeronautics and Astronautics;2010-05
5 LIU Lei1,HE Xi-bing2(1.Department of Mathematics,Shangqiu Normal University,Shangqiu 476000,Henan,China;2.Basic Teaching and Research Group,Baoji Yatai Specialized School,Baoji 721302,Shaanxi,China);The Hopf bifurcation and global structure when O(0,0) is a center of a class of cubic systems[J];Journal of Baoji University of Arts and Sciences(Natural Science Edition);2009-02
6 TIAN Zeng-shan,SUN Dong-mei,HAN Ling-jun,YANG Li (Key Lab of Mobile Communication Technology,Chongqing University Posts and Telecommunication,Chongqing 400065,P.R.China);Simulation on attitude arithmetic of strapdown inertial navigation system[J];Journal of Chongqing University of Posts and Telecommunications(Natural Science Edition);2009-03
7 Department of Mathematics,Bohai University, Jinzhou 121000,China);The Poincaré bifurcation of a class of quadratic systemsSONG Yan[J];Pure and Applied Mathematics;2004-03
8 ZHANG Chang-sheng~a,b,SUN Ji-gui~a,b,ZHANG Jian~a,b,FAN Wei~ a,b(a.College of Computer Science and Technology;b.Key Laboratory of Symbolic C omputation and Knowledge Engineering of Ministry for Education,Jilin University,Changchun 130012,China);Implementation of Real Time Fight Simulation System[J];Journal of Jilin University(Information Science Edition);2006-05
9 XU Wen-xue1,WANG Bao-feng2,YANG Yuan-xin1,LI feng1(1.Air Force Engineering Design & Research Institute,Beijing 100068,China;2.Beijing Aerospace Control Center,Beijing 100094,China);A new arithmetic for the transformation approximation of coordinate systems[J];Engineering of Surveying and Mapping;2010-04
10 LIU Zhong~(1,2),LIANG Xiao-geng~2,JIA Xiao-hong~2,CAO Binggang~1(1.Department of Mechanical & Electrical Engineering,Xi'an Jiaotong University,Xi'an 710049,China;2.China Air-to-air Missile Institute,Luoyang 471009,China);Missile Omnidirectional Attitude Motion Errors Based on Quaternion[J];Journal of Ballistics;2006-02
China Proceedings of conference Full-text Database 8 Hits
1 SHEN Yu-Heng,HOU Ming-Shan Automation College,Northwestern Polytechnical University,Xi'an 710072,P.R.China;Constant Bearing Guidance for Autonomous Rendezvous[A];[C];2011
2 YANG Rui WAN Min LU Da-ju (Institute of Applied Electronics,China Academy fo Engineering Physics,Miangang,Sichuan 621900,China);Simulation of Satellite Optical Characteristic Based on Tracepro[A];[C];2005
3 Luo Junhong Liu Haomin Cui Hutao Cui Pingyuan (Harbin Institute of Technology,Deep Space Exploration Research Center,Harbin 150080);Study on Concepts Design and Attitude Control of Solar Sail Spacecraft[A];[C];2007
4 Wang yu~1 Dai guangming~1 Shi zaiming~1 (1.Department of Computer Science and technology,China University of Geosciences,Wuhan,430074,China);Researches on the optimal orbit of Earth-to-Mar transfer with SQP method[A];[C];2008
5 PENG Hai-jun~1,ZHAO Jun~1,WU Zhi-gang~2,CAI ZHI-qin~1 (1 Department of Engineering Mechanics,State Key Laboratory of Structural Analysis for Industrial Equipment, Dalian University of Technology,Dalian 116024,P.R.China 2 School of Aeronautics and Astronautics,State Key Laboratory of Structural Analysis for Industrial Equipment, Dalian University of Technology,Dalian 116024,P.R.China);Modeling and numerical simulation for attitude dynamics of satellite in the vicinity of libration point[A];[C];2010
6 Wang Li-guo,Shen Ping,Zhang Jing-yang (Academy of Frontier Science,Nanjing University of Aeronautics and Astronautics,Nanjing,Jiangsu,210016, China);Computing Sunlight Incidence Angles of Satellite Solar Arrays[A];[C];2010
7 Li Jie~1 Li Dongxu~1 Zhou Shihua~1 Guan Yuqiu~2 Liu Haoting~1 (1 China Astronaut Research and Training Center Beijing 100094;2 NUDT Changsha Hunan 410073 China);Development for Watching Console in Vibration-control Simulation System for Large-Flexible Multi-Body Structural Satellite[A];[C];2009
8 Zhao Liqin (Department of Mathematvcs,Beijing Normal University Beijing 100875);The properties of singular points and nonexistence of limit cycles for a biochemical reaction system[A];[C];2000
【Co-references】
Chinese Journal Full-text Database 10 Hits
1 Chen Tong Xu Shijie(School of Astronautics,Beijing University of Aeronautics and Astronautics,Beijing 100083,China);Optimal Lambert two-impulse transfer using genetic algorithm[J];Journal of Beijing University of Aeronautics and Astronautics;2007-03
2 Zhou Tianshuai,Li Dong,Chen Xinmin,Yang Hujun(Beijing Institude of Astronautical System Engineering ,Beijing, 100076);Application of Foreign Spacecrafts of Sun-Earth Libration Points and Manners of Transfer Trajectory[J];Missiles and Space Vehicles;2004-05
3 WU Wen-hai~(1,2), QU Jian-ling~1, WANG Cun-ren~1, LUO De-lin~2 (1.Qingdao Branch, Naval Aeronautical Engineering Academy, Qingdao 266041, China; 2.College of Automation Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China);An Overview of the Proportional Navigation[J];Flight Dynamics;2004-02
4 HOU Xi-yun~(1,2) LIU Lin~(1,2) (1.Astronomy Department,Nanjing University,Nanjing,Jiangsu Province 210093;2.The Institute of Space Environment and Astrodynamics,Nanjing University,Nanjing,Jiangsu Province 210093);On Orbit Control of Spacecraft around Collinear Libration Points[J];;2005-06
5 WANG Meng-li,WANG Fei-xue(Satellite Navigation Research and Development Center,National University of Defense Technology,Changsha 410073,China);Lagrange Insert-value Algorithm′s Analysis of Satellite′s Position and Velocity[J];Aeronautical Computing Technique;2008-04
6 LI Jisu1 MU Xiaogang1 ZHANG Jinjiang1 WANG Xiaolei2 ZONG Hong2 SUN Baoxiang21.National Laboratory of Space Intelligent Control,Beijing Institute of Control Engineering,Beijing 100190,China2.Beijing Institute of Control Engineering,Beijing 100190,China;Application of Air Bearing Table in Satellite Control System Simulation[J];Aerospace Control;2008-05
7 XU Jian YANG Qingjun BAO Gang WANG JiebingResearch Center of Pneumatics,HIT,Harbin 150080,China;Research and Development of Air Bearing Spacecraft Simulator on the Multiple Degrees of Freedom[J];Aerospace Control;2009-06
8 Gao Huayu,Dong Yunfeng(College of Astronacctics,BUAA,Beijing 100083,China);Full-Physical Simulation Experiment System of Moonlet Attitude Control Based on Air Bearing Test-bed[J];Computer Measurement & Control;2009-06
9 SUN Chengqi1,2 (1.Beijing Institute of Control Engineering,Beijing 100190,China;2.National Laboratory of Space Intelligent Control,Beijing 100190,China);Spacecraft Keplerian Orbits and Non-Keplerian Orbits:Definition,Classification and Control[J];Aerospace Control and Application;2009-04
10 LI Junfeng Baoyin Hexi (School of Aerospace,Tsinghua University,Beijing 100084,China);DYNAMICS AND CONTROL IN DEEP SPACE EXPLORATION[J];Mechanics in Engineering;2007-04
【Secondary References】
Chinese Journal Full-text Database 7 Hits
1 SONG Xumin FAN Li CHEN Yong The Academy of Equipment Command and Technology,Bejing 101416,China;The Research on the Multi-impulse Rendezvous Trajectory Planning with Orbit Perturbation[J];Aerospace Control;2011-04
2 CHEN Chao,LUO Jian-jun (School of Astronautics,Northwestern Polytechnical University,Xi'an 710072,P.R.China);The Multiple-object Rendezvous Strategy Based on Differential Evolution Algorithm[J];Science Technology and Engineering;2012-10
3 DENG Hong,SUN Zhao-wei,ZHONG Wei-chao,CHEN Chang-chun(Research Center of Satellite Technology,Harbin Institute of Technology,150001 Harbin,China);Finite time optimal control for non-cooperative targets rendezvous with multi-constraints[J];Journal of Harbin Institute of Technology;2012-11
4 Li Haoyang She Zhikun Xue Bai(School of Mathematics and Systems Science,Beihang University,Beijing 100191);Modeling and Analysis of Ground Physics Experiments on Orbit Movements Around the Earth[J];Chinese Space Science and Technology;2011-06
5 LIU Shiyong PENG Liwen (Beijing Institute of Tracking and Telecommunication Technology);Analysis of the Orbit Phase Error Characteristics of Space Rendezvous and Docking Mission[J];Manned Spaceflight;2010-04
6 WANG Dong-zhe;ZHANG Gang;CAO Xi-bin;Research Center of Satellite Technology,Harbin Institute of Technology;;A Study on Tangent Interception and Tangent Rendezvous Orbits Based on Linear Relative Motion[J];Journal of Astronautics;2013-11
7 LI Ge-fei;SONG Jun;XIE Jian-feng;Science and Technology on Aerospace Flight Dynamics Laboratory,Beijing Aerospace Control Center;;The Complex's and the Spacecraft's United Orbit Maintenances[J];Journal of Astronautics;2013-12
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