郑州航空工业管理学院学报2024,Vol.42Issue(2) :14-19,94.DOI:10.19327/j.cnki.zuaxb.1007-9734.2024.02.002

不稳定地月循环轨道的混沌控制方法

Chaos Control Method for Earth-Moon Cyclers

郑越 赵敏
郑州航空工业管理学院学报2024,Vol.42Issue(2) :14-19,94.DOI:10.19327/j.cnki.zuaxb.1007-9734.2024.02.002

不稳定地月循环轨道的混沌控制方法

Chaos Control Method for Earth-Moon Cyclers

郑越 1赵敏1
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作者信息

  • 1. 西安航空学院,陕西 西安 710077
  • 折叠

摘要

针对现有的地月循环轨道稳定控制方法仅对少数轨道有效的缺点,本文提出了一种圆型限制性三体问题下不稳定地月循环轨道的混沌控制方法.首先在循环轨道上选择候选不动点及其对应的庞加莱截面图;然后通过混沌控制方法将轨道在庞加莱截面图上的投影点移动到不动点的稳定方向上;再计算轨道被控制后的目标点和轨道投影点到不动点之间偏差距离的比例,依次对比例最小的候选不动点进行筛选;最后根据所选择的不动点确定庞加莱截面图,计算控制脉冲量,对循环轨道进行稳定控制.仿真结果表明,本文所提出的方法适用于各种类型的地月循环轨道,相比现有方法至少节省了66%的能耗,能够使循环轨道长时间趋于稳定.

Abstract

Current methods which stabilize unstable Earth-Moon cyclers are only effective for a few orbits.A chaos control method for unstable Earth-Moon cyclers in the circular restricted three-body problem is proposed in this paper.First,candidate fixed points and their corresponding poincaré map are selected on a cycler.Second,the projection point of the cycler is moved to the stable direction of the fixed point by chaos control method on the poincaré map.Third,the proportion of the deviation distance between the target point and the projected point to the fixed point after the cycler is controlled.Finally,the poincaré map is determined according to the selected fixed point,the control pulse amount is calculated,and the Earth-Moon cycler is stabilized.The numerical results are provided to reveal that the proposed method is suitable for various types of Earth-Moon cyclers,which saves at least 66%energy consumption compared to the existing methods,and can stabilize the cycler for a long time.

关键词

圆型限制性三体问题/地月循环轨道/混沌控制/庞加莱截面图/控制脉冲

Key words

circular restricted three-body problem/Earth-Moon cyclers/chaos control/poincaré map/control impulse

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基金项目

陕西省科技计划(2021JQ-846)

西安航空学院校级科研基金(2020KY0209)

出版年

2024
郑州航空工业管理学院学报
郑州航空工业管理学院

郑州航空工业管理学院学报

CHSSCD
影响因子:0.371
ISSN:1007-9734
参考文献量16
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