EI、Scopus 收录
中文核心期刊
Quick Search Issue Search Advanced Search
Volume 47 Issue 1
Turn off MathJax
Article Contents
Abstract
References
Related Articles
Yang Mengjie, Yuan Jianping. AN IMPROVED MODEL OF ORBITAL DYNAMICS[J]. Chinese Journal of Theoretical and Applied Mechanics, 2015, 47(1): 154-162. DOI: 10.6052/0459-1879-14-298
Citation: Yang Mengjie, Yuan Jianping. AN IMPROVED MODEL OF ORBITAL DYNAMICS[J]. Chinese Journal of Theoretical and Applied Mechanics, 2015, 47(1): 154-162. DOI: 10.6052/0459-1879-14-298
shu

AN IMPROVED MODEL OF ORBITAL DYNAMICS

  • National Key Laboratory of Aerospace Flight Dynamics, Northwestern Polytechnical University, Xi'an 710072, China

  • Received Date: September 27, 2014
  • Revised Date: October 26, 2014
    Graphical Abstract
    • Abstract
  • The radius vector of spacecraft can be decomposed into the product of the mold and the unit vector. Using this property, the traditional orbital dynamics equation can be transformed into two equations which describe the mold's and direction's motions separately. The mold's equation can be converted to a linear equation without singularity by introducing the inverse of the mold; and using the variation of constants method, the linear equation can be reduced to one-order. As for the direction's equation, the quaternion description is suitable. This equation can be completely solved. Through the above handling methods, we obtain a new orbital dynamic model which contains seven equations. In the sense of the virtual time, the angular velocity of the spacecraft depends only on the normal force. This new orbital model is applicable to any form of thrust or perturbation. At the same time, we get seven new stable variables which completely equivalent to the kepler elements. And the transforming relationship has been established. In the end of this article, we verify the accuracy and applicability of the new model in the cases of constant and variable thrusts.
    • FullText(HTML)
    • References (18)
  • 袁建平, 朱战霞. 空间操作与非开普勒运动. 宇航学报, 2009, 30(1): 42-46 (Yuan Jianping, Zhu Zhanxia. Space operations and non-Keplerian orbit motion. Journal of Astronautics, 2009, 30(1): 42-46 (in Chinese))
    王萍, 袁建平, 范剑峰. 关于非开普勒轨道的讨论. 宇航学报, 2009, 30(1): 37-41 (Wang Ping, Yuan Jiangping, Fan Jianfeng. A discussion on non-Keplerian orbit. Journal of Astronautics, 2009, 30(1): 37-41 (in Chinese))
    Stiefel EL, Scheifele G. Linear and Regular Celestial Mechanics. Berlin, New York, Springer-Verlag, 1971: 18-33
    Vitins M. Kepler motion and gyration. Celestial Mechanics, 1978, 17(2): 173-192
    曹静, 袁建平, 罗建军. 陀螺进动与强迫进动轨道. 力学学报, 2013, 45(3): 406-411(Cao Jing, Yuan Jianping, Luo Jianjun. Gyroscopic precession and forced precession orbit. Chinese Journal of Theoretical and Applied Mechanics, 2013, 45(3): 406-411 (in Chinese))
    Peláez J, Hedo JM, de Andrés PR. A special perturbation method in orbital dynamics. Celest Mech Dyn Astr, 2007, 97(2): 131-150
    Baú G, Bombardelli C, Peláez J. A new set of integrals of motion to propagate the perturbed two-body problem. Celest Mech Dyn Astr, 2013, 116(3): 53-78
    Junkins JL, Turner JD. On the analogy between orbital dynamics and rigid body dynamics. The Journal of the Astronautical Science, 1979, 17(4): 345-358.
    Battin RH. An introduction to the mathematics and methods of astrodynamics. AIAA, 2001: 408-415
    章仁为. 卫星轨道姿态动力学与控制. 北京: 北京航空航天大学出版社, 1998: 157-176 (Zhang Renwei. Satellite Attitude Dynamics and Control. Beijing: Beijing University of Aeronautics and Astronautics Press, 1998: 157-176 (in Chinese))
    赵育善, 师鹏. 航天器飞行动力学建模理论与方法. 北京: 北京航空航天大学出版社, 2012: 5-27 (Zhao Yushan, Shi Peng. Spacecraft Flight Dyna- mics Modeling Theory and Methods. Beijing: Beijing University of Aeronautics and Astronautics Press, 2012: 5-27 (in Chinese))
    袁建平, 李俊峰, 和兴锁等. 航天器相对运动轨道动力学. 北京: 中国宇航出版社, 2013: 101-139 (Yuan Jianping, Li Junfeng, He Xingsuo, et al. Relative Orbit Dynamics of Spacecraft. Beijing: China Aerospace Press. 2013: 101-139(in Chinese))
    刘暾, 赵钧. 空间飞行器动力学. 哈尔滨: 哈尔滨工业大学出版社, 2007: 12-14, 102-114 (Liu Dun, Zhao Jun. Spacecraft Dynamics. Harbin: Harbin Institute of Technology Press. 2007: 12-14, 102-114(in Chinese))
    肖业伦. 航天器飞行动力学原理. 北京: 宇航出版社, 1995: 26-45 (Xiao Yelun. Spacecraft Dynamics Theory. Beijing: Aerospace Press. 1995: 26-45 (in Chinese))
    王伟, 袁建平, 罗建军等. 赤道平面J2束缚轨道研究. 中国科学: 物理学, 力学, 天文学, 2013, 43(3): 309-317 (Wang Wei, Yuan Jianping, Luo Jianjun, et al. Anatomy of J2 bounded orbits in equatorial plane. Scientia Sinica Physica, Mechanica & Astronomica, 2013, 43(3): 309-317 (in Chinese))
    Robert JM, Malcolm M, James B, et al. Survey of highly-non-keplerian orbits with low-thrust propulsion. Journal of Guidance, Control, and Dynamics, 2011, 34(3): 645-666
    程国采. 四元数法及其应用. 长沙: 国防科技大学出版社, 1991 (Cheng Guocai. Quaternion Theory and Application. Changsha: National University of Defense Technology Press, 1991 (in Chinese))
    曹静, 袁建平. 空间飞行器轨道相对运动动力学及应用研究. [博士论文]. 西安: 西北工业大学, 2013 (Cao Jing, Yuan Jianping. Kinetics and applied research of spacecraft orbit relative motion. [PhD Thesis]. Xi'an: Northwestern Polytechnical University. 2013 (in Chinese))
    • Related Articles

  • Related Articles

    [1]Wang Peidong, Wang Tianshu. DYNAMIC MODELING AND CONTROL OF MULTIBODY SYSTEMS USING DUAL QUATERNIONS[J]. Chinese Journal of Theoretical and Applied Mechanics, 2024, 56(7): 2091-2102. DOI: 10.6052/0459-1879-23-593
    [2]Yuan Jianping, Sun Chong, Fang Qun. SPACECRAFT'S TRANSFER ORBIT DESIGN BASED ON THE VIRTUAL CENTRAL GRAVITY FIELD METHOD[J]. Chinese Journal of Theoretical and Applied Mechanics, 2015, 47(1): 180-184. DOI: 10.6052/0459-1879-14-112
    [3]Huang Jiangtao, Gao Zhenghong, Zhou Zhu, Liu Gang, Zhao Ke. A NEW HIGHLY ROBUST GRID DEFORMATION TECHNIQUE AND ITS APPLICATION[J]. Chinese Journal of Theoretical and Applied Mechanics, 2014, 46(2): 291-299. DOI: 10.6052/0459-1879-13-121
    [4]Cao Jing, Yuan Jianping, Luo Jianjun. GYROSCOPIC PRECESSION AND FORCED PRECESSION ORBIT[J]. Chinese Journal of Theoretical and Applied Mechanics, 2013, 45(3): 406-411. DOI: 10.6052/0459-1879-12-375
    [5]Tieqiao Tang, Haijun Huang, S.C. Wong, Rui Jiang. Lane changing analysis for two-lane traffic flow[J]. Chinese Journal of Theoretical and Applied Mechanics, 2007, 23(1): 49-54. DOI: 10.6052/0459-1879-2007-1-2006-282
    [6]The free vibration characteristics of nonlocal continuum bar and a boundary of material constant in Eringen's nonlocal model[J]. Chinese Journal of Theoretical and Applied Mechanics, 2005, 37(6): 796-798. DOI: 10.6052/0459-1879-2005-6-2004-201
    [8]STRUCTURE TENSOR OF QUATERNION MULTIPLICATION AND TENSOR EXPRESSIONS OF QUATERNION MATRICES[J]. Chinese Journal of Theoretical and Applied Mechanics, 1995, 27(6): 702-710. DOI: 10.6052/0459-1879-1995-6-1995-486

Catalog

    Get Citation
    PDF
    XML

    Article Metrics

    Article views (1419) PDF downloads (1019) Cited by()
    Related

    Download Center

    Author Center

    Copyright © Editorial Office of the Chinese Journal of Mechanics   京ICP备05039218号-1

    Address：15 Beishihuan Xi Lu, Haidian District, Beijing, China   China Pos：100190

    Tel：010-62536271

    Email：lxxb@cstam.org.cn

    微信公众号
    RSS

    Supported by: Beijing Renhe Information Technology Co., Ltd.  Baidu Analytics

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return