Oscillatory orbits in the restricted planar four body problem
文献类型：期刊论文
| 作者 | Seara,Tere M2; Zhang,Jianlu1 |
| 刊名 | Nonlinearity
 |
| 出版日期 | 2020-10-23 |
| 卷号 | 33期号:12 |
| 关键词 | restricted planar four body problem final motions oscillatory orbits parabolic orbits three body problem lambda lemma scattering map restricted planar four body problem final motions oscillatory orbits parabolic orbits three body problem lambda lemma scattering map primary 37N05 37D10 secondary 70F07 70H09 |
| ISSN号 | 0951-7715 |
| DOI | 10.1088/1361-6544/abaf5f |
| 英文摘要 | AbstractThe restricted planar four body problem describes the motion of a massless body under the Newtonian gravitational force of other three bodies (the primaries), and the motion of the primaries gives us general solutions of the three body problem. A trajectory is called oscillatory if it goes arbitrarily faraway but returns infinitely many times to the same bounded region. We prove the existence of such type of trajectories provided the primaries evolve in suitable periodic orbits. |
| 语种 | 英语 |
| WOS记录号 | IOP:0951-7715-33-12-ABAF5F |
| 出版者 | IOP Publishing |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/52129]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 作者单位 | 1.Mathematics Institute, Academy of Mathematics and Systems Science, Chinese Academy of Sciences Beijing, 100190, People’s Republic of China 2.Departament de Matemàtiques, Universitat Politècnica de Catalunya, Spain |
| 推荐引用方式 GB/T 7714 | Seara,Tere M,Zhang,Jianlu. Oscillatory orbits in the restricted planar four body problem[J]. Nonlinearity,2020,33(12). |
| APA | Seara,Tere M,&Zhang,Jianlu.(2020).Oscillatory orbits in the restricted planar four body problem.Nonlinearity,33(12). |
| MLA | Seara,Tere M,et al."Oscillatory orbits in the restricted planar four body problem".Nonlinearity 33.12(2020). |
入库方式： OAI收割
来源：数学与系统科学研究院
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