Advanced Search
Volume 41 Issue 9
Sep.  2015
Turn off MathJax
Article Contents
Journal of Beijing University of Aeronautics and Astronautics  > 2015  >  41(9): 1574-1581.
GAO Xiaoguang, TANG Hong, DUAN Junhonget al. Space interception orbit optimization design based on hybrid optimal algorithm[J]. Journal of Beijing University of Aeronautics and Astronautics, 2015, 41(9): 1574-1581. doi: 10.13700/j.bh.1001-5965.2014.0673(in Chinese)
Citation: GAO Xiaoguang, TANG Hong, DUAN Junhonget al. Space interception orbit optimization design based on hybrid optimal algorithm[J]. Journal of Beijing University of Aeronautics and Astronautics, 2015, 41(9): 1574-1581. doi: 10.13700/j.bh.1001-5965.2014.0673(in Chinese)
shu

Space interception orbit optimization design based on hybrid optimal algorithm

doi: 10.13700/j.bh.1001-5965.2014.0673

  • College of Electronic and Information, Northwestern Polytechnical University, Xi'an 710072, China

  • Received Date: 30 Oct 2014
  • Publish Date: 20 Sep 2015
    Abstract
  • Based on a hybrid algorithm combining genetic algorithm (GA) with improved Gauss method (IGM), a design method of space interception orbit was proposed for solving time-fuel-optimal trajectory planning problem of interceptor. First, classical Gauss method was improved by applying Newton-Raphson iteration, solving the problem of the classical Gauss method of slow convergence speed and small transfer angle. Then, a theorem on the necessary and sufficient condition for the existence of unique solution was proved. When the initial orbital parameters were given, this condition could be used to judge whether elliptical orbit could be introduced as the interception orbit. After that, constraints of transfer time and maximum pulse rate were given, as well as the calculation steps of hybrid optimal algorithm, and way of coding was improved. Finally taking optimization problem of space interception orbit as an example, simulation was carried out. Simulation result shows that the hybrid algorithm has fewer generations and shorter consuming time compared with conventional optimal algorithm, indicating the algorithm is applicable in determining interception orbit in space.

     

    • FullText(HTML)
  • loading
    • References(15)
  • [1]
    晁涛,王松艳,王子才,等.基于组合优化算法的临近空间飞行器轨迹优化[J].宇航学报,2012,33(2):183-188.Chao T,Wang S Y,Wang Z C,et al.Near space vehicle trajectory optimization approach based on hybrid SVM and GA algorithm[J].Journal of Astronautics,2012,33(2):183-188(in Chinese).
    [2]
    Shen H J,Tsiotras P.Optimal two-impulse rendezvous using multiple-revolution Lambert solutions[J].Journal of Guidance,Control,and Dynamics,2003,26(1):50-61.
    [3]
    周荻,张刚,孙胜.有限推力椭圆轨道近距离拦截方法[J].宇航学报,2010,31(7):1763-1767.Zhou D,Zhang G,Sun S.A thrust-limited short-distance interception scheme on elliptical orbit[J].Journal of Astronautics,2010,31(7):1763-1767(in Chinese).
    [4]
    Spencer D B,Kim Y H.Optimal spacecraft rendezvous using genetic algorithms[J].Journal of Spacecraft and Rockets,2002,39(6):859-865.
    [5]
    黄勇,李小将,张东来,等.混合遗传算法在最优Lambert轨道转移设计中的应用[J].飞行力学,2013,31(3):269-272.Huang Y,Li X J,Zhang D L,et al.Application of hybrid genetic algorithm in optimal Lambert orbital transfer design[J].Flight Dynamics,2013,31(3):269-272(in Chinese).
    [6]
    Kim D Y,Woo B,Park S Y,et al.Hybrid optimization for multiple-impulse reconfiguration trajectories of satellite formation flying[J].Advances in Space Research,2009,44(1):1257-1269.
    [7]
    Battin R H.An introduction to the mathematics and methods of astrodynamics[M].Revised Edition.New York:AIAA,1999.
    [8]
    邓泓,仲惟超,孙兆伟,等.基于遗传算法的卫星攻击路径规划方法研究[J].宇航学报,2009,30(4):1587-1592.Deng H,Zhong W C,Sun Z W,et al.Method research of satellite attacking path planning based on genetic algorithm[J].Journal of Astronautics,2009,30(4):1587-1592(in Chinese).
    [9]
    陈统,徐世杰.基于遗传算法的最优Lambert双脉冲转移[J].北京航空航天大学学报,2007,33(3):273-277.Chen T,Xu S J.Optimal Lambert two-impulse transfer using genetic algorithm[J].Journal of Beijing University of Aeronautics and Astronautics,2007,33(3):273-277(in Chinese).
    [10]
    高怀,朱战霞,刘剑.基于遗传算法的连续推力最短时间转移轨道设计[J].西北工业大学学报,2012,30(2):187-191.Gao H,Zhu Z X,Liu J.An effective minimum-time orbital transfer design under continuous thrust[J].Journal of Northwestern Polytechnical University,2012,30(2):187-191(in Chinese).
    [11]
    Danchick R.Gauss meets newton again: How to make Gauss orbit determination from two position vectors more efficient and robust with Newton-Raphson iterations[J].Applied Mathematics and Computation,2008,195(2):364-375.
    [12]
    Abdelkhalik O,Mortari D.N-impulse orbit transfer using genetic algorithms[J].Journal of Spacecraft and Rockets,2007,44(2):456-460.
    [13]
    齐映红,曹喜滨.基于遗传算法的最优多脉冲交会轨道设计[J].哈尔滨工业大学学报,2008,40(9):1345-1348.Qi Y H,Cao X B.Design of multiple-impulsive rendezvous trajectory using genetic algorithms[J].Journal of Harbin Institute of Technology,2008,40(9):1345-1348(in Chinese).
    [14]
    王威,于志坚.航天器轨道确定-模型与算法[M].北京:国防工业出版社,2007:76-87.Wang W,Yu Z J.Orbit determination-modeling and algorithm[M].Beijing:Defense Industry Press,2007:76-87(in Chinese).
    [15]
    Srinivas M,Patnaik L M.Adaptive probabilities of crossover and mutation in genetic algorithm[J].IEEE Transaction on Systems,Man and Cybernetics,1994,24(4):656-666.
    • Relative Articles
    • Supplements(0)
    • Cited By
  • 加载中

Catalog

    通讯作者: 陈斌, bchen63@163.com
    • 1. 

      沈阳化工大学材料科学与工程学院 沈阳 110142

    1. 本站搜索
    2. 百度学术搜索
    3. 万方数据库搜索
    4. CNKI搜索
    Get Citation
    PDF
    XML

    Article Metrics

    Article views(1034) PDF downloads(827) Cited by()
    Proportional views
    Related

    Copyright © Journal of Beijing University of Aeronautics and Astronautics

    Address: Editorial Department of Journal of Beijing University of Aeronautics and Astronautics, 37 Xueyuan Road, Haidian District, Beijing Post Code: 100191 Email: jbuaa@buaa.edu.cn

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

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return