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Melnikov方法和圆型平面限制性三体问题的横截同宿研究
朱如曾; 向程
Source Publication应用数学和力学
1996
Volume17Issue:12Pages:1113-1122
ISSN1000-0887
Abstract本文对由两自由度近可积哈密顿系统经非正则变换而得到的,具有高阶不动点的非哈密顿系统给出了判别横截同宿轨和横截异宿轨存在性的两条判据。对原二体质量比很小时近可积圆型平面限制性三体问题,采用本文判据证明存在横截同宿轨,从而存在横截同宿穿插现象;还在一定假设下证明了存在横截异宿轨;并给出了全局定性相图。
Keyword限制性三体问题 近可积哈密顿系统 高阶不动点 Melnikov方法 横截同宿(异宿)轨
Language中文
Document Type期刊论文
Identifierhttp://dspace.imech.ac.cn/handle/311007/35032
Collection力学所知识产出(1956-2008)
Corresponding Author朱如曾
Recommended Citation
GB/T 7714
朱如曾,向程. Melnikov方法和圆型平面限制性三体问题的横截同宿研究[J]. 应用数学和力学,1996,17(12):1113-1122.
APA 朱如曾,&向程.(1996).Melnikov方法和圆型平面限制性三体问题的横截同宿研究.应用数学和力学,17(12),1113-1122.
MLA 朱如曾,et al."Melnikov方法和圆型平面限制性三体问题的横截同宿研究".应用数学和力学 17.12(1996):1113-1122.
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