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航天器单脉冲机动可达域求解算法

杜向南 杨震

杜向南, 杨震. 航天器单脉冲机动可达域求解算法[J]. 力学学报, 2020, 52(6): 1621-1631. doi: 10.6052/0459-1879-20-111
引用本文: 杜向南, 杨震. 航天器单脉冲机动可达域求解算法[J]. 力学学报, 2020, 52(6): 1621-1631. doi: 10.6052/0459-1879-20-111
Du Xiangnan, Yang Zhen. AN ALGORITHM FOR SOLVING SPACECRAFT REACHABLE DOMAIN WITH SINGLE-IMPULSE MANEUVERING[J]. Chinese Journal of Theoretical and Applied Mechanics, 2020, 52(6): 1621-1631. doi: 10.6052/0459-1879-20-111
Citation: Du Xiangnan, Yang Zhen. AN ALGORITHM FOR SOLVING SPACECRAFT REACHABLE DOMAIN WITH SINGLE-IMPULSE MANEUVERING[J]. Chinese Journal of Theoretical and Applied Mechanics, 2020, 52(6): 1621-1631. doi: 10.6052/0459-1879-20-111

航天器单脉冲机动可达域求解算法

doi: 10.6052/0459-1879-20-111
基金项目: 1) 国家自然科学基金资助项目(11902347)
详细信息
    作者简介:

    2) 杨震,讲师,主要研究方向:航天动力学与控制. E-mail: yangzhen@nudt.edu.cn

    通讯作者:

    杨震

  • 中图分类号: V412.4

AN ALGORITHM FOR SOLVING SPACECRAFT REACHABLE DOMAIN WITH SINGLE-IMPULSE MANEUVERING

  • 摘要: 航天器轨道机动可达域是表征其在未来时间可能到达空间位置集合的有效方式,对维护航天器在轨安全、改善空间态势感知能力具有重要意义.现有关于可达域计算的方法仍然存在模型复杂、初值敏感性高导致计算效果较差等缺点,因此有必要发展更加简洁有效的可达域包络求解算法.本文基于近心点坐标系建立了基于未来可达位置矢量极值求解的可达域求解模型,首先定义任意指向的矢量描述方法并给出未来该指向位置是否可达的判据;其次,设置转移轨道面内机动方位角,将可达域求解问题转化为当前可达位置矢量方向的单变量极值求解问题,利用极值点处可达域包络面函数梯度需为零的条件确定转移轨道面机动方位角的取值,从而确定航天器的轨道机动可达域;此外根据二体轨道动力学特性,利用包络的对称性减少可达域求解计算量;最后通过蒙特卡洛打靶仿真对提出的可达域求解方法进行仿真验证.结果表明,本文方法对航天器单脉冲轨道机动可达域的计算结果与蒙特卡洛打靶仿真吻合良好,模型更加简洁且计算精度优于现有方法.

     

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出版历程
  • 收稿日期:  2020-04-14
  • 刊出日期:  2020-12-10

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