| 圆型限制性三体问题中双恒星系统的存在性 |
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| 引用本文： | 雷锦志,管克英. 圆型限制性三体问题中双恒星系统的存在性[J]. 高校应用数学学报(A辑), 2001, 16(1): 55-60 |
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| 作者姓名： | 雷锦志 管克英 |
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| 作者单位： | 1. 北京航空航天大学数学系,
2. 北方交通大学数学系, |
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| 摘 要： | 在圆型限制性三体问题的研究中,研究较多的是在其中一体附近的运动。本文研究远离两个大质量恒星的行星的运行情况,在此范围内,使用KAM理论研究大振幅轨道的存在性,说明了星系中双恒星系统的存在性,而这一现象已被天文学家所观察到。
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| 关 键 词： | 限制三体问题 双恒星系统 KAM理论 大振幅解 大振幅轨道 |
| 文章编号： | 1000-4424(2001)01-0055-06 |
| 修稿时间： | 1999-11-08 |
EXISTENCE OF DOUBLE STAR SYSTEM IN CIRCULAR RESTRICTED THREE-BODY PROBLEM |
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| Lei Jinzhi,Guan Keying. EXISTENCE OF DOUBLE STAR SYSTEM IN CIRCULAR RESTRICTED THREE-BODY PROBLEM[J]. Applied Mathematics A Journal of Chinese Universities, 2001, 16(1): 55-60 |
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| Authors: | Lei Jinzhi Guan Keying |
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| Abstract: | Many works on the circular restricted three body problem have been done for the motivation of asteroid near one star.This paper studies the motivation of asteroid far from two stars.The existence of such large amplitude solution was studied by KAM theory.Being far from the center,the gravity field generated by two moving stars can be looked as a periodic perturbation of center field.Thus the invariant torus exist from KAM theory by which the existence of double star system is explained. |
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| Keywords: | Restricted Three body Problem Double Star System KAM The| |
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