anewclassofsymmetricperiodicsolutionsofthespatialellipticrestrictedthreebodyproblem
文献类型：期刊论文
| 作者 | XU XingBo; FU YanNing
|
| 刊名 | scienceinchinaseriesgphysicsmechanicsastronomy
 |
| 出版日期 | 2009 |
| 卷号 | 52期号:9页码:1404 |
| 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. |
| 语种 | 英语 |
| 源URL | [http://libir.pmo.ac.cn/handle/332002/31467]  |
| 专题 | 中国科学院紫金山天文台 |
| 作者单位 | 中国科学院紫金山天文台 |
| 推荐引用方式 GB/T 7714 | XU XingBo,FU YanNing. anewclassofsymmetricperiodicsolutionsofthespatialellipticrestrictedthreebodyproblem[J]. scienceinchinaseriesgphysicsmechanicsastronomy,2009,52(9):1404. |
| APA | XU XingBo,&FU YanNing.(2009).anewclassofsymmetricperiodicsolutionsofthespatialellipticrestrictedthreebodyproblem.scienceinchinaseriesgphysicsmechanicsastronomy,52(9),1404. |
| MLA | XU XingBo,et al."anewclassofsymmetricperiodicsolutionsofthespatialellipticrestrictedthreebodyproblem".scienceinchinaseriesgphysicsmechanicsastronomy 52.9(2009):1404. |
入库方式： OAI收割
来源：紫金山天文台
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