A new class of symmetric periodic solutions of the spatial elliptic restricted three-body problem
文献类型：期刊论文
| 作者 | Xu XingBo1; Fu YanNing1,2
|
| 刊名 | SCIENCE IN CHINA SERIES G-PHYSICS MECHANICS & ASTRONOMY
 |
| 出版日期 | 2009-09-01 |
| 卷号 | 52期号:9页码:1404-1413 |
| 关键词 | periodic orbits spatial restricted three-body problem symmetric orbits averaging |
| ISSN号 | 1672-1799 |
| 英文摘要 | We show that there exists a new class of symmetric periodic solutions of the spatial elliptic restricted three-body problem. In such a solution, the infinitesimal body is confined to the vicinity of a primary and moves on a nearly circular orbit. This orbit is almost perpendicular to the orbital plane of the primaries, where the line of symmetry of the orbit lies. The existence is shown by applying a corollary of Arenstorf's fixed point theorem to a periodicity equation system of the problem. And this existence doesn't require any restriction on the mass ratio of the primaries, nor on the eccentricity of their relative elliptic orbit. Potential relevance of this new class of periodic solutions to real celestial body systems and the follow-up studies in this respect are also discussed. |
| WOS标题词 | Science & Technology ; Physical Sciences |
| 学科主题 | Physics |
| 类目[WOS] | Physics, Multidisciplinary |
| 研究领域[WOS] | Physics |
| 收录类别 | SCI |
| 语种 | 英语 |
| WOS记录号 | WOS:000268788800017 |
| 公开日期 | 2011-12-08 |
| 源URL | [http://159.226.72.40/handle/332002/1671]  |
| 专题 | 紫金山天文台_历算和天文参考系研究团组 |
| 作者单位 | 1.Chinese Acad Sci, Purple Mt Observ, Nanjing 210008, Peoples R China 2.Chinese Acad Sci, Grad Univ, Beijing 100039, Peoples R China |
| 推荐引用方式 GB/T 7714 | Xu XingBo,Fu YanNing. A new class of symmetric periodic solutions of the spatial elliptic restricted three-body problem[J]. SCIENCE IN CHINA SERIES G-PHYSICS MECHANICS & ASTRONOMY,2009,52(9):1404-1413. |
| APA | Xu XingBo,&Fu YanNing.(2009).A new class of symmetric periodic solutions of the spatial elliptic restricted three-body problem.SCIENCE IN CHINA SERIES G-PHYSICS MECHANICS & ASTRONOMY,52(9),1404-1413. |
| MLA | Xu XingBo,et al."A new class of symmetric periodic solutions of the spatial elliptic restricted three-body problem".SCIENCE IN CHINA SERIES G-PHYSICS MECHANICS & ASTRONOMY 52.9(2009):1404-1413. |
入库方式： OAI收割
来源：紫金山天文台
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