On the triangular libration points in photogravitational restricted three-body problem with variable mass
文献类型：期刊论文
| 作者 | Zhang, Ming-Jiang1,2; Zhao, Chang-Yin1,2; Xiong, Yong-Qing1,2 |
| 刊名 | ASTROPHYSICS AND SPACE SCIENCE
 |
| 出版日期 | 2012 |
| 卷号 | 337期号:1页码:107-113 |
| 关键词 | Celestial mechanics Variable mass Restricted three-body problem |
| ISSN号 | 0004-640X |
| 英文摘要 | This paper investigates the triangular libration points in the photogravitational restricted three-body problem of variable mass, in which both the attracting bodies are radiating as well and the infinitesimal body vary its mass with time according to Jeans' law. Firstly, applying the space-time transformation of Meshcherskii in the special case when q=1/2, k=0, n=1, the differential equations of motion of the problem are given. Secondly, in analogy to corresponding problem with constant mass, the positions of analogous triangular libration points are obtained, and the fact that these triangular libration points cease to be classical ones when alpha not equal 0, but turn to classical L (4) and L (5) naturally when alpha=0 is pointed out. Lastly, introducing the space-time inverse transformation of Meshcherskii, the linear stability of triangular libration points is tested when alpha > 0. It is seen that the motion around the triangular libration points become unstable in general when the problem with constant mass evolves into the problem with decreasing mass. |
| WOS标题词 | Science & Technology ; Physical Sciences |
| 学科主题 | Astronomy & Astrophysics |
| 类目[WOS] | Astronomy & Astrophysics |
| 研究领域[WOS] | Astronomy & Astrophysics |
| 关键词[WOS] | 3 BODIES ; EQUILIBRIUM POINTS ; PERTURBATIONS ; STABILITY ; OBLATENESS ; RADIATION |
| 收录类别 | SCI |
| 语种 | 英语 |
| WOS记录号 | WOS:000299055400016 |
| 公开日期 | 2013-01-31 |
| 源URL | [http://libir.pmo.ac.cn/handle/332002/7990]  |
| 专题 | 紫金山天文台_空间目标与碎片观测研究基地 |
| 作者单位 | 1.Chinese Acad Sci, Purple Mt Observ, Nanjing 210008, Peoples R China 2.CAS, PMO, Key Lab Space Object & Debris Observat, Nanjing 210008, Peoples R China |
| 推荐引用方式 GB/T 7714 | Zhang, Ming-Jiang,Zhao, Chang-Yin,Xiong, Yong-Qing. On the triangular libration points in photogravitational restricted three-body problem with variable mass[J]. ASTROPHYSICS AND SPACE SCIENCE,2012,337(1):107-113. |
| APA | Zhang, Ming-Jiang,Zhao, Chang-Yin,&Xiong, Yong-Qing.(2012).On the triangular libration points in photogravitational restricted three-body problem with variable mass.ASTROPHYSICS AND SPACE SCIENCE,337(1),107-113. |
| MLA | Zhang, Ming-Jiang,et al."On the triangular libration points in photogravitational restricted three-body problem with variable mass".ASTROPHYSICS AND SPACE SCIENCE 337.1(2012):107-113. |
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来源：紫金山天文台
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